Value is obtained from the corresponding Source and rounded-to-nearest to the 300-digit Value.

bin [X] specifies the most accurate representation of Value in the corresponding binary_X IEEE-754 format.

intel 80 is the most accurate representation of Value in the Intel 80-bit floating point extension format.

ULP [X] specifies an error, in units in the last place, which results from rounding-to-nearest (to even) of the 396-bit representation of the Value to X bits.

Eps. [X] specifies an error, in machine epsilons, which results from rounding-to-nearest (to even) of the 396-bit representation of the Value to X bits.

Rel. [X] specifies a relative error of a decimal representation of bin [X] with respect to Value.

NameValuebin 32ULP 32Eps. 32Rel. 32bin 64ULP 64Eps. 64Rel. 64intel 80ULP 80Eps. 80Rel. 80bin 128ULP 128Eps. 128Rel. 128bin 256ULP 256Eps. 256Rel. 256Source
π3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412740490fdb0.36670.46692.783E-8400921fb54442d180.27580.35113.898E-174000c90fdaa22168c2350.23130.29461.597E-204000921fb54442d18469898cc51701b80.22510.28662.76E-3540000921fb54442d18469898cc51701b839a252049c1114cf98e804177d4c7620.45070.57392.599E-72OEIS A000796 - rounded to 300 decimal digits
1/π0.3183098861837906715377675267450287240689192914809128974953346881177935952684530701802276055325061719121456854535159160737858236922291573057559348214633996784584799338748181551461554927938506153774347857924347953233867247804834472580236647602284453995114318809237801738053479122409788218738756881710573ea2f9830.43090.67684.034E-83fd45f306dc9c8830.35450.55686.182E-173ffda2f9836e4e44152a0.015020.02361.279E-213ffd45f306dc9c882a53f84eafa3ea6a0.26760.42034.047E-353fffd45f306dc9c882a53f84eafa3ea69bb81b6c52b3278872083fca2c757bd70.47140.74043.353E-72OEIS A049541 - rounded to 300 decimal digits
6.2831853071795864769252867665590057683943387987502116419498891846156328125724179972560696506842341359642961730265646132941876892191011644634507188162569622349005682054038770422111192892458979098607639288576219513318668922569512964675735663305424038182912971338469206972209086532964267872145204982825540c90fdb0.36670.46692.783E-8401921fb54442d180.27580.35113.898E-174001c90fdaa22168c2350.23130.29461.597E-204001921fb54442d18469898cc51701b80.22510.28662.76E-3540001921fb54442d18469898cc51701b839a252049c1114cf98e804177d4c7620.45070.57392.599E-72OEIS A019692 - rounded to 300 decimal digits
π/21.570796326794896619231321691639751442098584699687552910487472296153908203143104499314017412671058533991074043256641153323546922304775291115862679704064240558725142051350969260552779822311474477465190982214405487832966723064237824116893391582635600954572824283461730174305227163324106696803630124570643fc90fdb0.36670.46692.783E-83ff921fb54442d180.27580.35113.898E-173fffc90fdaa22168c2350.23130.29461.597E-203fff921fb54442d18469898cc51701b80.22510.28662.76E-353ffff921fb54442d18469898cc51701b839a252049c1114cf98e804177d4c7620.45070.57392.599E-72OEIS A019669 - rounded to 300 decimal digits
2/π0.636619772367581343075535053490057448137838582961825794990669376235587190536906140360455211065012343824291370907031832147571647384458314611511869642926799356916959867749636310292310985587701230754869571584869590646773449560966894516047329520456890799022863761847560347610695824481957643747751376342113f22f9830.43090.67684.034E-83fe45f306dc9c8830.35450.55686.182E-173ffea2f9836e4e44152a0.015020.02361.279E-213ffe45f306dc9c882a53f84eafa3ea6a0.26760.42034.047E-353fffe45f306dc9c882a53f84eafa3ea69bb81b6c52b3278872083fca2c757bd70.47140.74043.353E-72OEIS A060294 - rounded to 300 decimal digits
π/31.047197551196597746154214461093167628065723133125035273658314864102605468762069666209344941780705689327382695504427435549031281536516860743908453136042827039150094700900646173701853214874316318310127321476270325221977815376158549411262261055090400636381882855641153449536818108882737797869086749713753f860a920.24450.46692.783E-83ff0c152382d73660.48280.92211.024E-163fff860a91c16b9b2c230.17910.34211.854E-203fff0c152382d73658465bb32e0f567b0.18320.353.37E-353ffff0c152382d73658465bb32e0f567ad116e158680b6335109aad64fe32f970.032830.062712.839E-73Divided pi as long integer and rounded to 300 decimal digits
3π/24.712388980384689857693965074919254326295754099062658731462416888461724609429313497942052238013175601973222129769923459970640766914325873347588039112192721676175426154052907781658339466934423432395572946643216463498900169192713472350680174747906802863718472850385190522915681489972320090410890373711914096cbe42.501E-24.246E-22.531E-94012d97c7f3321d22.068E-13.511E-13.898E-17400196cbe3f9990e91a84.235E-10.7193.898E-2040012d97c7f3321d234f272993d1414a1.688E-12.866E-12.76E-35400012d97c7f3321d234f272993d1414a2b39bd83750ccf9bb2ae03119df958a1.619E-12.749E-11.245E-72OEIS A019669 times 3 rounded to 300 decimal digits
12.566370614359172953850573533118011536788677597500423283899778369231265625144835994512139301368468271928592346053129226588375378438202328926901437632513924469801136410807754084422238578491795819721527857715243902663733784513902592935147132661084807636582594267693841394441817306592853574429040996565141490fdb0.36670.46692.783E-8402921fb54442d180.27580.35113.898E-174002c90fdaa22168c2350.23130.29461.597E-204002921fb54442d18469898cc51701b80.22510.28662.76E-3540002921fb54442d18469898cc51701b839a252049c1114cf98e804177d4c7620.45070.57392.599E-72OEIS A019694 - rounded to 300 decimal digits
π/40.785398163397448309615660845819875721049292349843776455243736148076954101571552249657008706335529266995537021628320576661773461152387645557931339852032120279362571025675484630276389911155737238732595491107202743916483361532118912058446695791317800477286412141730865087152613581662053348401815062285323f490fdb0.36670.46692.783E-83fe921fb54442d180.27580.35113.898E-173ffec90fdaa22168c2350.23130.29461.597E-203ffe921fb54442d18469898cc51701b80.22510.28662.76E-353fffe921fb54442d18469898cc51701b839a252049c1114cf98e804177d4c7620.45070.57392.599E-72OEIS A003881 - rounded to 300 decimal digits
4/π1.273239544735162686151070106980114896275677165923651589981338752471174381073812280720910422130024687648582741814063664295143294768916629223023739285853598713833919735499272620584621971175402461509739143169739181293546899121933789032094659040913781598045727523695120695221391648963915287495502752684233fa2f9830.43090.67684.034E-83ff45f306dc9c8830.35450.55686.182E-173fffa2f9836e4e44152a0.015020.02361.279E-213fff45f306dc9c882a53f84eafa3ea6a0.26760.42034.047E-353ffff45f306dc9c882a53f84eafa3ea69bb81b6c52b3278872083fca2c757bd70.47140.74043.353E-72OEIS A088538 - rounded to 300 decimal digits
π/60.5235987755982988730771072305465838140328615665625176368291574320513027343810348331046724708903528446636913477522137177745156407682584303719542265680214135195750473504503230868509266074371581591550636607381351626109889076880792747056311305275452003181909414278205767247684090544413688989345433748568793f060a920.24450.46692.783E-83fe0c152382d73660.48280.92211.024E-163ffe860a91c16b9b2c230.17910.34211.854E-203ffe0c152382d73658465bb32e0f567b0.18320.353.37E-353fffe0c152382d73658465bb32e0f567ad116e158680b6335109aad64fe32f970.032830.062712.839E-73Divided pi as long integer and rounded to 300 decimal digits
π/1800.01745329251994329576923690768488612713442871888541725456097191440171009114603449443682241569634509482212304492507379059248385469227528101239847421893404711731916824501501076956169755358123860530516878869127117208703296358960264249018770435091817334393969804759401922415894696848137896329781811249522933c8efa350.072580.137.746E-93f91df46a2529d390.084990.15221.689E-173ff98efa351294e9c8ae0.057710.10335.601E-213ff91df46a2529d3915c1d8becdd290c0.46210.82747.968E-353fff91df46a2529d3915c1d8becdd290b89b2016f5dea036bcd71ca05536992a0.4350.77893.527E-72Divided pi as long integer and rounded to 300 decimal digits
π²9.86960440108935861883449099987615113531369940724079062641334937622004482241920524300177340371855223182402591377402314407777234812203004672761061767798519766099039985620657563057150604123284032878086935276934216493966657151904453873526177941382025826058169341251559204830981887327003307626667110435895411de9e60.30450.49362.942E-84023bd3cc9be45de0.35270.57186.348E-1740029de9e64df22ef2d20.33940.55022.983E-2040023bd3cc9be45de5a4adc4d9b301180.20920.33913.266E-35400023bd3cc9be45de5a4adc4d9b30118358e10acd47fc1a14450cd044204a790.098360.15957.22E-73OEIS A002388 - rounded to 300 decimal digits
π²31.006276680299820175476315067101395202225288565885107694144538103806394917465706037566701032602886193030121961572336622375201617652339672733561394154425388254033667727557662639675028532033246863042678698663839618375292562924730094296918620267053985960770069824572953187326935581852186310769334223813741f80cdb0.21180.21861.303E-8403f019b59389d7c0.11720.1211.343E-174003f80cdac9c4ebe0f00.049480.051072.768E-214003f019b59389d7c1e019558e5380d70.15450.15941.535E-3540003f019b59389d7c1e019558e5380d6d8733503c4a496cc40e155075c4037d0.16540.17077.73E-73OEIS A091925 - rounded to 300 decimal digits
e2.71828182845904523536028747135266249775724709369995957496696762772407663035354759457138217852516642742746639193200305992181741359662904357290033429526059563073813232862794349076323382988075319525101901157383418793070215408914993488416750924476146066808226480016847741185374234544243710753907774499207402df8540.34620.50953.037E-84005bf0a8b1457690.32550.4795.318E-174000adf85458a2bb4a9b0.3130.46072.497E-2040005bf0a8b1457695355fb8ac404e7a0.47610.70066.747E-35400005bf0a8b1457695355fb8ac404e7a79e3b1738b079c5a6d2b53c26c8228d0.47460.69843.162E-72https://www.math.utah.edu/~pa/math/e.html - rounded to 300 digits
ln(2)0.693147180559945309417232121458176568075500134360255254120680009493393621969694715605863326996418687542001481020570685733685520235758130557032670751635075961930727570828371435190307038623891673471123350115364497955239120475172681574932065155524734139525882950453007095326366642654104239157814952043743f3172180.031950.04612.748E-93fe62e42fefa39ef0.20890.30143.346E-173ffeb17217f7d1cf79ac0.21140.30491.653E-203ffe62e42fefa39ef35793c7673007e60.072780.1051.011E-353fffe62e42fefa39ef35793c7673007e5ed5e81e6864ce5316c5b141a2eb71750.37220.53692.431E-72OEIS A002162
ln(3)1.09861228866810969139524523692252570464749055782274945173469433363749429321860896687361575481373208878797002906595786574236800422593051982105280187076727741060316276918338136717937369884436095990374257031679591152114559191775067134705494016677558022220317025294689756069010652150564286813803631737333f8c9f540.16640.30291.805E-83ff193ea7aad030b0.40850.74378.257E-173fff8c9f53d5681854bb0.32050.58353.163E-203fff193ea7aad030a976a4198d55053b0.48710.88688.54E-353ffff193ea7aad030a976a4198d55053b7cb5be1442d9b7e08df03d97eeea5150.42440.77273.498E-72OEIS A002391
ln(10)2.3025850929940456840179914546843642076011014886287729760333279009675726096773524802359972050895982983419677840422862486334095254650828067566662873690987816894829072083255546808437998948262331985283935053089653777326288461633662222876982198867465436674744042432743651550489343149393914796194044002221140135d8e0.13410.2331.389E-840026bb1bbb555160.48880.84929.427E-174000935d8dddaaa8ac170.084610.1477.968E-21400026bb1bbb5551582dd4adac5705a60.079370.13791.328E-354000026bb1bbb5551582dd4adac5705a61451c51fd9f3b4bbf21d078c3d0403e0.022190.038551.745E-73OEIS A002392
log10(e)0.434294481903251827651128918916605082294397005803666566114453783165864649208870774729224949338431748318706106744766303733641679287158963906569221064662812265852127086568670329593370869658826688331163607738490514284434866676864658608513556148212348765343543435731725383562228139560304864665236609553943ede5bd90.3390.39032.326E-83fdbcb7b1526e50e0.19790.22782.529E-173ffdde5bd8a9372871950.20840.241.301E-203ffdbcb7b1526e50e32a6ab7555f5a680.27970.3223.101E-353fffdbcb7b1526e50e32a6ab7555f5a67b8647dc68c048b934404747e5a89ef20.16930.19498.826E-73OEIS A002285 - rounded to 300 decimal digits
sqrt(e)1.648721270700128146848650787814163571653776100710148011575079311640661021194215608632776520056366643002866637756307797004671166975219609159840971452490059796929422659098403914719948464659489244896868905336418465720841066656859800088924981211712287375214972195511971609034091115619799869839960642655093fd3094c0.44120.53523.19E-83ffa61298e1e069c0.21310.25852.87E-173fffd3094c70f034de4c0.41020.49762.697E-203fffa61298e1e069bc972dfefab6df340.024630.029882.877E-363ffffa61298e1e069bc972dfefab6df33f9b1f651f16c130b4759c44bfc906360.49680.60262.729E-72OEIS A019774 - rounded to 300 decimal digits
sqrt(2)1.414213562373095048801688724209698078569671875376948073176679737990732478462107038850387534327641572735013846230912297024924836055850737212644121497099935831413222665927505592755799950501152782060571470109559971605970274534596862014728517418640889198609552329230484308714321450839762603627995251407993fb504f30.2030.28711.711E-83ff6a09e667f3bcd0.43540.61576.836E-173fffb504f333f9de64840.34960.49442.68E-203fff6a09e667f3bcc908b2fb1366ea950.48920.69196.663E-353ffff6a09e667f3bcc908b2fb1366ea957d3e3adec17512775099da2f590b0660.44970.6362.88E-72https://apod.nasa.gov/htmltest/gifcity/sqrt2.1mil - rounded to 300 decimal digits
log2(π)1.651496129472318798043279295108007335018476926763041529406788515488102963584541438960264792809854101707265475077359535280404227959906692253778156101229954876475038387355433606017968645743397553336316945218353315902207493598909049442835373890487931203635443074995049410882748617094899043591687539528343fd3643a0.35630.43152.572E-83ffa6c873498ddf70.35570.43074.782E-173fffd36439a4c6efbad80.42810.51842.81E-203fffa6c873498ddf75b0db2e4f080a890.11540.13981.346E-353ffffa6c873498ddf75b0db2e4f080a88e274b8649e4bc68d8fbc903ec37792d0.24190.2931.327E-72OEIS A216582
log2103.3219280948873623478703194294893901758648313930245806120547563958159347766086252158501397433593701550996573717102502518268240969842635268882753027729986553938519513526575055686430176091900248916669414333740119031241873751097158664675401791896558067358307796884327258832749925224489023835599764173941440549a780.29610.35652.125E-8400a934f0979a3710.37420.45055.002E-174000d49a784bcd1b8afe0.28580.34421.866E-20000a934f0979a3715fc9257edfe9b600.28670.34523.325E-3540000a934f0979a3715fc9257edfe9b5fb699b2d8abfc6f675a9d236d590105d0.059760.071963.258E-73Divided OEIS A002392 by OEIS A002162 then rounded to 300 digits
log1020.3010299956639811952137388947244930267681898814621085413104274611271081892744245094869272521181861720406844771914309953790947678811335235059996923337046955750645029642541934026618197343116029435011839028981785826171544395318619290463538846995202393108496124625404002633125946214788458473182826726839823e9a209b0.48050.79814.757E-83fd34413509f79ff0.050510.083899.314E-183ffd9a209a84fbcff7990.43930.72973.956E-203ffd34413509f79fef311f12b35816f90.13650.22672.183E-353fffd34413509f79fef311f12b35816f922f04d5a618a87a3e69314bcde4d6fa0.45130.74953.394E-72Divided OEIS A002162 by OEIS A002392 then rounded to 300 digits
Euler–Mascheroni0.5772156649015328606065120900824024310421593359399235988057672348848677267776646709369470632917467495146314472498070824809605040144865428362241739976449235362535003337429373377376739427925952582470949160087352039481656708532331517766115286211995015079847937450857057400299213547861466940296043254215193f13c4680.11140.19291.15E-83fe2788cfc6fb6190.044520.077138.563E-183ffe93c467e37db0c7a50.18070.3131.697E-203ffe2788cfc6fb618f49a37c7f0202a60.41140.71286.864E-353fffe2788cfc6fb618f49a37c7f0202a596ad439d9875ecb980321807be68e130.37490.64952.941E-72OEIS A001620
sin(1 rad.)0.8414709848078965066525023216302989996225630607983710656727517099919104043912396689486397435430526958543490379079206742932591189209918988811934103277292124094807919558267666069999077640119784087827325663474848028702986561570179624553948935729246701270864862810533820305613772182038684496677616742662393f576aa40.46990.55843.328E-83feaed548f090cee0.0160.019022.112E-183ffed76aa478486770210.2230.2651.437E-203ffeaed548f090cee0418dd3d2138a1e0.47030.55895.382E-353fffeaed548f090cee0418dd3d2138a1e786513ca22265ea3169bdf6d94bfad90.2140.25431.151E-72OEIS A049469
cos(1 rad.)0.5403023058681397174009366074429766037323104206179222276700972553811003947744717645179518560871830893435717311600300890978606337600216634564065122654173185847179711644744794942331179245513932543359435177567028925963757361543275496417544917751151312227301006313570782322367714015174689959366787306742283f0a51400.49080.90855.415E-83fe14a280fb5068c0.42880.79378.812E-173ffe8a51407da8345c920.24110.44632.419E-203ffe14a280fb5068b923848cdb2ed0e30.47780.88448.516E-353fffe14a280fb5068b923848cdb2ed0e37a53446e75129f2d876fe46004816ec0.11280.20879.451E-73OEIS A049470
Light speed in vacuum, c2997924584d8ef3c20.31250.5596041b1de784a000000000401b8ef3c25000000000000401b1de784a0000000000000000000000004001b1de784a0000000000000000000000000000000000000000000000000000000OEIS A003678
c2898755178736817645b9fa6a70.33760.541404373f4d4eacdd7560.250.4009040379fa6a7566ebab20000040373f4d4eacdd75640000000000000000040037ff4d4eacdd7564000000000000000000000000000000000000000000000000OEIS A182999
c32694400241737398953933591269b24cea0.38250.54933.274E-84536499d4c3dd69d0.21780.312704053b24cea61eeb4e9be0.087760.126040536499d4c3dd69d37c2cee80000000000400536499d4c3dd69d37c2cee800000000000000000000000000000000000000000OEIS A183000
Planck constant, h6.62607015E-34085c305f0.062230.072354.313E-9390b860bde0231110.19910.231503f90dc305ef0118889980.27220.316403f90b860bde02311132f74a8309fea1d0.36350.422703ff90b860bde02311132f74a8309fea1d5d1056f543a279cc7c327061eb813e10.380.44180OEIS A003676
Reduced Planck constant, ℏ1.05457181764615639126242800330228074472282633002041312242192347059843591273473906249853E-34070c2d380.17140.31311.866E-838e185a7057c690d0.37760.68967.656E-173f8e8c2d382be34864fb0.30820.56293.052E-203f8e185a7057c690c9f5622fa651de490.081450.148803ff8e185a7057c690c9f5622fa651de4914da045f02bcfc62a3a0321abdd52900.31730.57950OEIS A254181
Electric permittivity of vacuum, ϵ08.85418781762038985053656303171075026060837016659944980810241715240539509545998211428528916071820089328673291838378205105683929330493281307325049408437613004926467008531457487860370758296782248736420018014321814106306853100412283274530074875652501241975609821855082172348038157691584749572845184083477E-122d1bc3b80.45920.75484.499E-83da37876f14ded300.42610.70037.775E-173fda9bc3b78a6f6983690.37850.62213.372E-203fda37876f14ded306d13e33828f06fb0.49890.81997.895E-353ffda37876f14ded306d13e33828f06fa804b250c6da84a59c22b5746ccf92c50.3940.64762.932E-72Calculated based on c, μ0 and OEIS A081799
Magnetic permeability of vacuum, μ01.25663706143591729538505735331180115367886775975004232838997783692312656251448359945121393013684682719285923460531292265883753784382023289269014376325139244698011364108077540844222385784917958197215278577152439026637337845139025929351471326610848076365825942676938413944418173065928535744290409965651E-635a8a9b80.48750.744.411E-83eb515370f99f6cb0.032480.04935.473E-183feba8a9b87ccfb658430.47840.72623.937E-203feb515370f99f6cb0850b0c721196c50.013120.019921.918E-363ffeb515370f99f6cb0850b0c721196c5035c19e02801b83e49d38c1763333860.21350.32411.467E-72OEIS A019694
Characteristic impedance of vacuum, Z0376.73031346177065546819840042031930826862350835241865523207463829670726922130769888016687519956558669364843bc5d7b0.088480.12037.168E-940778baf5d2b22230.13690.18612.066E-174007bc5d7ae9591116e80.46040.62563.392E-20400778baf5d2b2222dcf144cc011d5510.26080.354404000778baf5d2b2222dcf144cc011d550bd3f61c77cb5c4647c7865d8aafe26c0.29130.39590OEIS A213610
Elementary charge, q1.602176634E-19203d26d10.28270.38262.281E-83c07a4da290c16530.44130.597303fc0bd26d14860b29b880.1780.240903fc07a4da290c165370fa4e22277e9500.43790.592703ffc07a4da290c165370fa4e22277e94f8fe54927b765e57af311fad153becd90.20040.27120OEIS A081823
Mass of electron9.1093837015E-310d93cee60.27230.47162.811E-839b279dcc8b6b7ed0.4510.781203f9b93cee645b5bf64640.29070.503603f9b279dcc8b6b7ec8c894dcd876a57b0.28840.499403ff9b279dcc8b6b7ec8c894dcd876a57ab62e5e128db3bee825c09fae7ebceef0.4190.72560NIST CODATA: me
Mass of proton1.67262192369E-27130484ce0.44010.85025.068E-83a609099b1eaa2c50.270.521503fa68484cd8f551625d70.13470.260203fa609099b1eaa2c4bae44f6ce7d76ba0.3840.741803ffa609099b1eaa2c4bae44f6ce7d76b99db268950787790b184cf6d7145b4f70.30360.58660NIST CODATA: mp
Mass of neutron1.67492749804E-271304b3910.21370.41222.457E-83a6096721929c0890.037150.0716703fa684b390c94e0447b40.089720.173103fa6096721929c088f67d210b1fdeb060.15210.293403ffa6096721929c088f67d210b1fdeb05d90f9fcddf531508217e9a6727a752c0.10950.21120NIST CODATA: mn
Magnetic flux quantum2.067833848461929323081115412147497340171545654934323552243241615019084094319652897896400104409461759E-15271500cd0.25810.44352.643E-83ce2a019a84284cd0.46960.80688.958E-173fce9500cd421426643e0.22010.37822.05E-203fce2a019a84284cc87c70b454735fdd0.38880.667903ffce2a019a84284cc87c70b454735fdd6385a33874ee31c020db079b3c9e61a0.48620.83530OEIS A248507
Conductance quantum7.748091729863650646680823323308763943587286047673370919563838303160735477574139476E-538a27d400.18760.29551.761E-83f144fa806009dab0.42690.67267.467E-173ff1a27d403004ed5b6a0.30290.47722.587E-203ff144fa806009dab6d49b1883a204c20.041480.0653603fff144fa806009dab6d49b1883a204c20a9ea02150dc4af8ef9b09cff2e39a40.24450.38520OEIS A081824