31813902317222100992

Names of 31813902317222100992

• Cardinal: 31813902317222100992 can be written as Thirty-one quintillion, eight hundred thirteen quadrillion, nine hundred two trillion, three hundred seventeen billion, two hundred twenty-two million, one hundred thousand, nine hundred ninety-two.

Scientific notation

• Scientific notation: 3.1813902317222100992 × 10¹⁹

Factors of 31813902317222100992

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 37
• Sum of prime factors: 146

Divisors of 31813902317222100992

• Number of divisors d(n): 650
• Complete list of divisors:
  1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 137 196 224 256 274 343 392 448 512 548 686 784 896 959 1024 1096 1372 1568 1792 1918 2048 2192 2401 2744 3136 3584 3836 4096 4384 4802 5488 6272 6713 7168 7672 8192 8768 9604 10976 12544 13426 14336 15344 16384 16807 17536 19208 21952 25088 26852 28672 30688 32768 33614 35072 38416 43904 46991 50176 53704 57344 61376 65536 67228 70144 76832 87808 93982 100352 107408 114688 117649 122752 131072 134456 140288 153664 175616 187964 200704 214816 229376 235298 245504 262144 268912 280576 307328 328937 351232 375928 401408 429632 458752 470596 491008 524288 537824 561152 614656 657874 702464 751856 802816 823543 859264 917504 941192 982016 1048576 1075648 1122304 1229312 1315748 1404928 1503712 1605632 1647086 1718528 1835008 1882384 1964032 2097152 2151296 2244608 2302559 2458624 2631496 2809856 3007424 3211264 3294172 3437056 3670016 3764768 3928064 4194304 4302592 4489216 4605118 4917248 5262992 5619712 5764801 6014848 6422528 6588344 6874112 7340032 7529536 7856128 8388608 8605184 8978432 9210236 9834496 10525984 11239424 11529602 12029696 12845056 13176688 13748224 14680064 15059072 15712256 16117913 16777216 17210368 17956864 18420472 19668992 21051968 22478848 23059204 24059392 25690112 26353376 27496448 29360128 30118144 31424512 32235826 34420736 35913728 36840944 39337984 40353607 42103936 44957696 46118408 48118784 51380224 52706752 54992896 58720256 60236288 62849024 64471652 68841472 71827456 73681888 78675968 80707214 84207872 89915392 92236816 96237568 102760448 105413504 109985792 112825391 117440512 120472576 125698048 128943304 137682944 143654912 147363776 157351936 161414428 168415744 179830784 184473632 192475136 205520896 210827008 219971584 225650782 240945152 251396096 257886608 275365888 282475249 287309824 294727552 314703872 322828856 336831488 359661568 368947264 384950272 411041792 421654016 439943168 451301564 481890304 502792192 515773216 550731776 564950498 574619648 589455104 629407744 645657712 673662976 719323136 737894528 769900544 789777737 822083584 843308032 879886336 902603128 963780608 1005584384 1031546432 1101463552 1129900996 1149239296 1178910208 1258815488 1291315424 1347325952 1438646272 1475789056 1539801088 1579555474 1686616064 1759772672 1805206256 1927561216 1977326743 2011168768 2063092864 2202927104 2259801992 2298478592 2357820416 2517630976 2582630848 2694651904 2877292544 2951578112 3079602176 3159110948 3373232128 3519545344 3610412512 3855122432 3954653486 4022337536 4126185728 4405854208 4519603984 4715640832 5035261952 5165261696 5389303808 5528444159 5754585088 5903156224 6159204352 6318221896 6746464256 7039090688 7220825024 7710244864 7909306972 8044675072 8252371456 8811708416 9039207968 9431281664 10070523904 10330523392 10778607616 11056888318 11806312448 12318408704 12636443792 13492928512 13841287201 14078181376 14441650048 15420489728 15818613944 16089350144 16504742912 17623416832 18078415936 18862563328 20141047808 20661046784 21557215232 22113776636 23612624896 24636817408 25272887584 26985857024 27682574402 28156362752 28883300096 30840979456 31637227888 33009485824 35246833664 36156831872 37725126656 38699109113 40282095616 41322093568 43114430464 44227553272 47225249792 49273634816 50545775168 53971714048 55365148804 56312725504 57766600192 61681958912 63274455776 66018971648 70493667328 72313663744 75450253312 77398218226 82644187136 86228860928 88455106544 94450499584 98547269632 101091550336 107943428096 110730297608 112625451008 115533200384 123363917824 126548911552 132037943296 140987334656 144627327488 150900506624 154796436452 165288374272 172457721856 176910213088 188900999168 197094539264 202183100672 215886856192 221460595216 231066400768 246727835648 253097823104 264075886592 270893763791 281974669312 289254654976 301801013248 309592872904 330576748544 344915443712 353820426176 377801998336 394189078528 404366201344 431773712384 442921190432 462132801536 493455671296 506195646208 528151773184 541787527582 578509309952 603602026496 619185745808 661153497088 689830887424 707640852352 755603996672 788378157056 808732402688 863547424768 885842380864 924265603072 986911342592 1012391292416 1056303546368 1083575055164 1157018619904 1207204052992 1238371491616 1322306994176 1379661774848 1415281704704 1511207993344 1617464805376 1727094849536 1771684761728 1848531206144 1896256346537 1973822685184 2024782584832 2112607092736 2167150110328 2314037239808 2414408105984 2476742983232 2644613988352 2759323549696 2830563409408 3022415986688 3234929610752 3454189699072 3543369523456 3697062412288 3792512693074 4049565169664 4225214185472 4334300220656 4628074479616 4828816211968 4953485966464 5289227976704 5518647099392 5661126818816 6044831973376 6469859221504 6908379398144 7086739046912 7394124824576 7585025386148 8099130339328 8450428370944 8668600441312 9256148959232 9657632423936 9906971932928 10578455953408 11322253637632 12089663946752 12939718443008 13816758796288 14173478093824 14788249649152 15170050772296 16198260678656 16900856741888 17337200882624 18512297918464 19315264847872 19813943865856 21156911906816 22644507275264 24179327893504 25879436886016 28346956187648 29576499298304 30340101544592 32396521357312 33801713483776 34674401765248 37024595836928 38630529695744 39627887731712 42313823813632 45289014550528 48358655787008 51758873772032 56693912375296 59152998596608 60680203089184 64793042714624 67603426967552 69348803530496 74049191673856 79255775463424 84627647627264 90578029101056 96717311574016 103517747544064 113387824750592 118305997193216 121360406178368 129586085429248 135206853935104 138697607060992 148098383347712 158511550926848 169255295254528 181156058202112 207035495088128 226775649501184 236611994386432 242720812356736 259172170858496 270413707870208 277395214121984 296196766695424 317023101853696 338510590509056 362312116404224 414070990176256 453551299002368 473223988772864 485441624713472 518344341716992 554790428243968 592393533390848 634046203707392 677021181018112 724624232808448 828141980352512 907102598004736 946447977545728 970883249426944 1036688683433984 1109580856487936 1184787066781696 1268092407414784 1449248465616896 1656283960705024 1814205196009472 1892895955091456 1941766498853888 2073377366867968 2219161712975872 2369574133563392 2536184814829568 2898496931233792 3312567921410048 3628410392018944 3883532997707776 4146754733735936 4438323425951744 4739148267126784 5072369629659136 5796993862467584 6625135842820096 7256820784037888 7767065995415552 8293509467471872 8876646851903488 10144739259318272 11593987724935168 13250271685640192 14513641568075776 15534131990831104 16587018934943744 17753293703806976 20289478518636544 23187975449870336 29027283136151552 31068263981662208 33174037869887488 35506587407613952 40578957037273088 46375950899740672 58054566272303104 62136527963324416 71013174815227904 81157914074546176 92751901799481344 116109132544606208 124273055926648832 142026349630455808 162315828149092352 232218265089212416 248546111853297664 284052699260911616 324631656298184704 497092223706595328 568105398521823232 649263312596369408 994184447413190656 1136210797043646464 1988368894826381312 2272421594087292928 3976737789652762624 4544843188174585856 7953475579305525248 15906951158611050496 31813902317222100992
• Sum of all divisors σ(n): 74774279129507406678
• Sum of proper divisors (its aliquot sum) s(n): 42960376812285305686
• 31813902317222100992 is an abundant number, because the sum of its proper divisors (42960376812285305686) is greater than itself. Its abundance is 11146474495063204694

Bases of 31813902317222100992

• Binary: 11011100110000001101011111001100110101001000000000000000000000000₂
• Hexadecimal: 0x1B981AF99A9000000
• Base-36: 6PPGF5SOXW4JK

Squares and roots of 31813902317222100992

• 31813902317222100992 squared (31813902317222100992²) is 1012124380649749767017042925778647384064
• 31813902317222100992 cubed (31813902317222100992³) is 32199626178870057907343407142724023155721698432706819391488
• The square root of 31813902317222100992 is 5640381398.2054530025
• The cube root of 31813902317222100992 is 3168635.7252805963

Scales and comparisons

• 31,813,902,317,222,100,992 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 31,813,902,317,222,100,992 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine years!

  This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

• A cube with a volume of 31813902317222100992 cubic inches would be around 264053 feet tall.

Recreational maths with 31813902317222100992

• 31813902317222100992 backwards is 29900122271320931813
• The number of decimal digits it has is: 20
• The sum of 31813902317222100992's digits is 65
• More coming soon!