138638801483438112

Names of 138638801483438112

• Cardinal: 138638801483438112 can be written as One hundred thirty-eight quadrillion, six hundred thirty-eight trillion, eight hundred one billion, four hundred eighty-three million, four hundred thirty-eight thousand, one hundred twelve.

Scientific notation

• Scientific notation: 1.38638801483438112 × 10¹⁷

Factors of 138638801483438112

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 118386

Divisors of 138638801483438112

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 71 72 93 96 124 142 144 186 213 248 279 284 288 372 426 496 499 558 568 639 744 852 992 998 1116 1136 1278 1488 1497 1704 1996 2201 2232 2272 2556 2976 2994 3408 3847 3992 4402 4464 4491 5112 5988 6603 6816 7694 7984 8804 8928 8982 10224 11541 11976 13206 15388 15469 15968 17608 17964 19809 20448 23082 23952 26412 30776 30938 34623 35216 35429 35928 39618 46164 46407 47904 52824 61552 61876 69246 70432 70858 71856 79236 92328 92814 105648 106287 113933 119257 123104 123752 138492 139221 141716 143712 158472 184656 185628 211296 212574 227866 238514 247504 273137 276984 278442 283432 316944 318861 341799 357771 369312 371256 425148 455732 477028 495008 546274 553968 556884 566864 633888 637722 683598 715542 742512 819411 850296 911464 954056 1025397 1073313 1092548 1098299 1107936 1113768 1133728 1275444 1367196 1431084 1485024 1638822 1700592 1822928 1908112 1919653 2050794 2146626 2185096 2196598 2227536 2458233 2550888 2734392 2862168 3277644 3294897 3401184 3531923 3645856 3816224 3839306 4101588 4293252 4370192 4393196 4455072 4916466 5101776 5468784 5724336 5758959 6555288 6589794 7063846 7678612 8089243 8203176 8467247 8586504 8740384 8786392 9832932 9884691 10203552 10595769 10937568 11448672 11517918 13110576 13179588 14127692 15357224 16178486 16406352 16934494 17173008 17276877 17572784 19665864 19769382 21191538 23035836 24267729 25401741 26221152 26359176 28255384 30714448 31787307 32356972 32812704 33868988 34346016 34553754 35145568 39331728 39538764 42383076 46071672 48535458 50803482 52718352 56510768 56852567 59509243 61428896 63574614 64713944 67737976 69107508 72803187 76205223 78663456 79077528 84766152 92143344 97070916 101606964 105436704 113021536 113705134 119018486 127149228 129427888 135475952 136295363 138215016 145606374 152410446 158155056 169532304 170557701 178527729 184286688 194141832 203213928 227410268 238036972 250766533 254298456 258855776 270951904 272590726 276430032 291212748 304820892 316310112 339064608 341115402 357055458 388283664 406427856 408886089 438300251 454820536 476073944 501533066 508596912 511673103 535583187 545181452 552860064 582425496 609641784 682230804 714110916 752299599 776567328 812855712 817772178 876600502 909641072 952147888 1003066132 1017193824 1023346206 1071166374 1090362904 1164850992 1219283568 1226658267 1314900753 1364461608 1428221832 1504599198 1635544356 1753201004 1762429577 1819282144 1904295776 2006132264 2046692412 2142332748 2180725808 2256898797 2329701984 2438567136 2453316534 2629801506 2728923216 2856443664 3009198396 3271088712 3506402008 3524859154 3944702259 4012264528 4036532257 4093384824 4225156253 4284665496 4361451616 4513797594 4906633068 5259603012 5287288731 5457846432 5712887328 6018396792 6542177424 7012804016 7049718308 7889404518 8024529056 8073064514 8186769648 8450312506 8569330992 9027595188 9813266136 10519206024 10574577462 12036793584 12109596771 12675468759 13084354848 13587307781 14025608032 14099436616 15778809036 15861866193 16146129028 16373539296 16900625012 17138661984 18055190376 19626532272 21038412048 21149154924 24073587168 24219193542 25350937518 27174615562 28198873232 31119317821 31557618072 31723732386 32292258056 33801250024 36110380752 36328790313 38026406277 39253064544 40761923343 42076824096 42298309848 48438387084 50701875036 54349231124 56397746464 62238635642 63115236144 63447464772 64584516112 67602500048 72220761504 72657580626 76052812554 81523846686 84596619696 93357953463 96876774168 101403750072 108698462248 122285770029 124477271284 125132499967 126230472288 126894929544 129169032224 135205000096 145315161252 152105625108 163047693372 169193239392 186715906926 193753548336 202807500144 217396924496 218711825249 244571540058 248954542568 250264999934 253789859088 280073860389 290630322504 304211250216 326095386744 373431813852 375397499901 387507096672 405615000288 434793848992 437423650498 489143080116 497909085136 500529999868 507579718176 560147720778 581260645008 608422500432 652190773488 656135475747 746863627704 750794999802 874847300996 964698852451 978286160232 995818170272 1001059999736 1120295441556 1126192499703 1162521290016 1216845000864 1304381546976 1312270951494 1493727255408 1501589999604 1749694601992 1929397704902 1956572320464 1968406427241 2002119999472 2240590883112 2252384999406 2624541902988 2894096557353 2987454510816 3003179999208 3499389203984 3858795409804 3913144640928 3936812854482 4004239998944 4481181766224 4504769998812 5249083805976 5788193114706 6006359998416 6780066582719 6998778407968 7717590819608 7873625708964 8682289672059 8962363532448 9009539997624 10498167611952 11576386229412 12012719996832 13560133165438 15435181639216 15528539592679 15747251417928 17364579344118 18019079995248 20340199748157 20996335223904 23152772458824 27120266330876 30870363278432 31057079185358 31494502835856 34729158688236 36038159990496 40680399496314 46305544917648 46585618778037 54240532661752 61020599244471 62114158370716 62989005671712 69458317376472 81360798992628 92611089835296 93171237556074 108481065323504 122041198488942 124228316741432 138916634752944 139756856334111 162721597985256 186342475112148 216962130647008 244082396977884 248456633482864 277833269505888 279513712668222 325443195970512 372684950224296 481384727373049 488164793955768 496913266965728 559027425336444 650886391941024 745369900448592 962769454746098 976329587911536 1118054850672888 1444154182119147 1490739800897184 1925538909492196 1952659175823072 2236109701345776 2888308364238294 3851077818984392 4332462546357441 4472219402691552 5776616728476588 7702155637968784 8664925092714882 11553233456953176 15404311275937568 17329850185429764 23106466913906352 34659700370859528 46212933827812704 69319400741719056 138638801483438112
• Sum of all divisors σ(n): 413642152175616000
• Sum of proper divisors (its aliquot sum) s(n): 275003350692177888
• 138638801483438112 is an abundant number, because the sum of its proper divisors (275003350692177888) is greater than itself. Its abundance is 136364549208739776

Bases of 138638801483438112

• Binary: 111101100100010110100000101100010100000011001100000100000₂
• Hexadecimal: 0x1EC8B4162819820
• Base-36: 11X3CQ5JGLK0

Squares and roots of 138638801483438112

• 138638801483438112 squared (138638801483438112²) is 19220717276764161644479832134124544
• 138638801483438112 cubed (138638801483438112³) is 2664737206902595801725519970426443233829844324220928
• The square root of 138638801483438112 is 372342317.6103383927
• The cube root of 138638801483438112 is 517561.0656882349

Scales and comparisons

• 138,638,801,483,438,112 seconds is equal to 4,408,285,049 years, 10 weeks, 4 days, 3 hours, 55 minutes, 12 seconds.
• To count from 1 to 138,638,801,483,438,112 would take you about thirteen billion, two hundred twenty-four million, eight hundred fifty-five thousand, one hundred forty-seven 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 138638801483438112 cubic inches would be around 43130.1 feet tall.

Recreational maths with 138638801483438112

• 138638801483438112 backwards is 211834384108836831
• 138638801483438112 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138638801483438112's digits is 72
• More coming soon!