138638634222816
138,638,634,222,816 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138638634222816 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
138638634222816 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138638634222816:
25 × 32 × 7 × 132 × 61 × 1231 × 5419
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 13 × 61 × 1231 × 5419)See below for interesting mathematical facts about the number 138638634222816 from the Numbermatics database.
Names of 138638634222816
- Cardinal: 138638634222816 can be written as One hundred thirty-eight trillion, six hundred thirty-eight billion, six hundred thirty-four million, two hundred twenty-two thousand, eight hundred sixteen.
Scientific notation
- Scientific notation: 1.38638634222816 × 1014
Factors of 138638634222816
Divisors of 138638634222816
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 61 63 72 78 84 91 96 104 112 117 122 126 144 156 168 169 182 183 208 224 234 244 252 273 288 312 336 338 364 366 416 427 468 488 504 507 546 549 624 672 676 728 732 793 819 854 936 976 1008 1014 1092 1098 1183 1231 1248 1281 1352 1456 1464 1521 1586 1638 1708 1872 1952 2016 2028 2184 2196 2366 2379 2462 2562 2704 2912 2928 3042 3172 3276 3416 3549 3693 3744 3843 4056 4368 4392 4732 4758 4924 5124 5408 5419 5551 5856 6084 6344 6552 6832 7098 7137 7386 7686 8112 8617 8736 8784 9464 9516 9848 10248 10309 10647 10838 11079 11102 12168 12688 13104 13664 14196 14274 14772 15372 16003 16224 16257 16653 17234 17568 18928 19032 19696 20496 20618 21294 21676 22158 22204 24336 25376 25851 26208 28392 28548 29544 30744 30927 32006 32514 33306 34468 37856 37933 38064 39392 40992 41236 42588 43352 44316 44408 48009 48672 48771 49959 51702 56784 57096 59088 61488 61854 64012 65028 66612 68936 70447 72163 75091 75866 76128 77553 82472 85176 86704 88632 88816 92781 96018 97542 99918 103404 112021 113568 113799 114192 118176 122976 123708 128024 130056 133224 137872 140894 144027 144326 150182 151732 155106 164944 170352 173408 177264 177632 185562 192036 195084 199836 206808 208039 211341 216489 224042 225273 227598 228384 247416 256048 260112 266448 275744 281788 288054 288652 300364 303464 310212 329888 330559 336063 340704 341397 354528 371124 384072 390168 399672 413616 416078 422682 432978 448084 450546 455196 493129 494832 512096 520224 525637 532896 563576 576108 577304 600728 606928 620424 624117 634023 649467 661118 672126 675819 682794 742248 768144 780336 799344 827232 832156 845364 865956 896168 901092 910392 915811 976183 986258 989664 991677 1008189 1051274 1127152 1152216 1154608 1201456 1213856 1240848 1248234 1268046 1298934 1322236 1344252 1351638 1365588 1456273 1479387 1484496 1536288 1560672 1576911 1598688 1664312 1690728 1731912 1792336 1802184 1820784 1831622 1872351 1952366 1972516 1983354 2016378 2102548 2254304 2304432 2309216 2313913 2402912 2481696 2496468 2536092 2597868 2644472 2688504 2703276 2731176 2747433 2912546 2928549 2958774 2968992 2975031 3153822 3328624 3381456 3463824 3584672 3604368 3641568 3663244 3744702 3904732 3945032 3966708 4032756 4205096 4297267 4368819 4438161 4608864 4627826 4730733 4992936 5072184 5195736 5288944 5377008 5406552 5462352 5494866 5825092 5857098 5917548 5950062 6307644 6410677 6657248 6670789 6762912 6833281 6927648 6941739 7208736 7326488 7489404 7809464 7890064 7933416 8065512 8242299 8410192 8594534 8737638 8785647 8876322 9255652 9461466 9985872 10144368 10391472 10577888 10754016 10813104 10924704 10989732 11650184 11714196 11835096 11900124 12615288 12690379 12821354 12891801 13106457 13341578 13666562 13883478 14652976 14978808 15618928 15780128 15866832 16131024 16484598 16820384 17189068 17475276 17571294 17752644 18511304 18922932 19232031 19971744 20012367 20288736 20499843 20782944 20825217 21626208 21979464 23300368 23428392 23670192 23800248 25230576 25380758 25642708 25783602 26212914 26683156 27333124 27766956 29305952 29957616 30080869 31237856 31733664 32262048 32969196 34378136 34950552 35142588 35505288 37022608 37845864 38071137 38464062 38675403 40024734 40999686 41650434 43958928 46600736 46695523 46856784 47340384 47600496 50461152 50761516 51285416 51567204 52425828 53366312 54666248 55533912 55864471 57696093 59915232 60037101 60161738 61499529 65938392 68756272 69901104 70285176 71010576 74045216 75691728 76142274 76928124 77350806 80049468 81999372 83300868 86720257 87917856 88832653 90242607 93391046 93713568 95200992 101523032 102570832 103134408 104851656 106732624 109332496 111067824 111728942 114213411 115392186 120074202 120323476 122999058 131876784 137512544 139802208 140086569 140570352 142021152 151383456 152284548 153856248 154701612 160098936 163998744 166601736 167593413 173440514 177665306 180485214 186782092 203046064 205141664 206268816 209703312 213465248 218664992 222135648 223457884 228426822 230784372 240148404 240646952 245998116 260160771 263753568 266497959 270727821 280173138 281140704 304569096 307712496 309403224 320197872 327997488 333203472 335186826 346881028 355330612 360970428 373564184 391051297 406092128 406918129 412537632 419406624 420259707 446915768 456853644 461568744 480296808 481293904 491996232 502780239 520321542 532995918 541455642 560346276 607041799 609138192 615424992 618806448 640395744 655994976 666406944 670373652 693762056 710661224 721940856 747128368 780482313 782102594 799493877 813836258 840519414 893831536 913707288 923137488 960593616 962587808 983992464 1005560478 1040643084 1065991836 1082911284 1120692552 1127363341 1173153891 1214083598 1218276384 1220754387 1237612896 1340747304 1387524112 1421322448 1443881712 1494256736 1560964626 1564205188 1598987754 1627672516 1681038828 1787663072 1821125397 1827414576 1846274976 1921187232 1967984928 2011120956 2081286168 2131983672 2165822568 2241385104 2254726682 2346307782 2428167196 2441508774 2681494608 2775048224 2842644896 2848426903 2887763424 3121929252 3128410376 3197975508 3255345032 3362077656 3382090023 3519461673 3642250794 3654829152 3662263161 4022241912 4162572336 4263967344 4331645136 4482770208 4509453364 4692615564 4856334392 4883017548 5289935677 5362989216 5463376191 5696853806 6243858504 6256820752 6395951016 6510690064 6724155312 6764180046 7038923346 7284501588 7324526322 7891543387 8044483824 8325144672 8527934688 8545280709 8663290272 9018906728 9385231128 9712668784 9766035096 10146270069 10579871354 10926752382 11393707612 12487717008 12513641504 12791902032 13021380128 13448310624 13528360092 14077846692 14569003176 14649052644 15783086774 15869807031 16088967648 17090561418 18037813456 18770462256 19425337568 19532070192 20292540138 21159742708 21853504764 22787415224 23674630161 24975434016 25583804064 25635842127 27056720184 28155693384 29138006352 29298105288 31566173548 31739614062 34181122836 36075626912 37029549739 37540924512 39064140384 40585080276 42319485416 43707009528 45574830448 47349260322 47609421093 51271684254 54113440368 56311386768 58276012704 58596210576 63132347096 63479228124 68362245672 68769163801 71023890483 74059099478 81170160552 84638970832 87414019056 91149660896 94698520644 95218842186 102543368508 108226880736 111088649217 112622773536 117192421152 126264694192 126958456248 136724491344 137538327602 142047780966 148118198956 162340321104 169277941664 174828038112 189397041288 190437684372 205086737016 206307491403 222177298434 252529388384 253916912496 273448982688 275076655204 284095561932 296236397912 324680642208 333265947651 378794082576 380875368744 410173474032 412614982806 444354596868 481384146607 507833824992 550153310408 568191123864 592472795824 618922474209 666531895302 757588165152 761750737488 820346948064 825229965612 888709193736 962768293214 1100306620816 1136382247728 1184945591648 1237844948418 1333063790604 1444152439821 1523501474976 1650459931224 1777418387472 1925536586428 2200613241632 2272764495456 2475689896836 2666127581208 2888304879642 3300919862448 3554836774944 3851073172856 4332457319463 4951379793672 5332255162416 5776609759284 6601839724896 7702146345712 8664914638926 9902759587344 10664510324832 11553219518568 15404292691424 17329829277852 19805519174688 23106439037136 34659658555704 46212878074272 69319317111408 138638634222816
- Sum of all divisors σ(n): 496394158740480
- Sum of proper divisors (its aliquot sum) s(n): 357755524517664
- 138638634222816 is an abundant number, because the sum of its proper divisors (357755524517664) is greater than itself. Its abundance is 219116890294848
Bases of 138638634222816
- Binary: 111111000010111010100101000101110000100111000002
- Hexadecimal: 0x7E17528B84E0
- Base-36: 1D55PJ9TK0
Squares and roots of 138638634222816
- 138638634222816 squared (1386386342228162) is 19220670899167767796334969856
- 138638634222816 cubed (1386386342228163) is 2664727562306844071182035776575189347434496
-
The
square root of 138638634222816 is 11774490.8264780605 -
The
cube root of 138638634222816 is 51756.0857551167
Scales and comparisons
How big is 138638634222816?- 138,638,634,222,816 seconds is equal to 4,408,279 years, 38 weeks, 33 minutes, 36 seconds.
-
To count from 1 to 138,638,634,222,816 would take you about eleven million, twenty thousand, six hundred ninety-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 138638634222816 cubic inches would be around 4313 feet tall.
Recreational maths with 138638634222816
- 138638634222816 backwards is 618222436836831
- 138638634222816 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138638634222816's digits is 63
- More coming soon!
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The information we have on file for 138638634222816 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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