138900959058431232
138,900,959,058,431,232 is an even composite number composed of six prime numbers multiplied together.
138900959058431232 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138900959058431232:
28 × 32 × 13 × 31 × 79 × 1893610409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 31 × 79 × 1893610409)See below for interesting mathematical facts about the number 138900959058431232 from the Numbermatics database.
Names of 138900959058431232
- Cardinal: 138900959058431232 can be written as One hundred thirty-eight quadrillion, nine hundred trillion, nine hundred fifty-nine billion, fifty-eight million, four hundred thirty-one thousand, two hundred thirty-two.
Scientific notation
- Scientific notation: 1.38900959058431232 × 1017
Factors of 138900959058431232
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 1893610537
Divisors of 138900959058431232
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 31 32 36 39 48 52 62 64 72 78 79 93 96 104 117 124 128 144 156 158 186 192 208 234 237 248 256 279 288 312 316 372 384 403 416 468 474 496 558 576 624 632 711 744 768 806 832 936 948 992 1027 1116 1152 1209 1248 1264 1422 1488 1612 1664 1872 1896 1984 2054 2232 2304 2418 2449 2496 2528 2844 2976 3081 3224 3328 3627 3744 3792 3968 4108 4464 4836 4898 4992 5056 5688 5952 6162 6448 7254 7347 7488 7584 7936 8216 8928 9243 9672 9796 9984 10112 11376 11904 12324 12896 14508 14694 14976 15168 16432 17856 18486 19344 19592 20224 22041 22752 23808 24648 25792 29016 29388 29952 30336 31837 32864 35712 36972 38688 39184 44082 45504 49296 51584 58032 58776 60672 63674 65728 71424 73944 77376 78368 88164 91008 95511 98592 103168 116064 117552 127348 131456 147888 154752 156736 176328 182016 191022 197184 232128 235104 254696 262912 286533 295776 309504 313472 352656 382044 394368 464256 470208 509392 573066 591552 626944 705312 764088 788736 928512 940416 1018784 1146132 1183104 1410624 1528176 1880832 2037568 2292264 2366208 2821248 3056352 4075136 4584528 5642496 6112704 8150272 9169056 12225408 18338112 24450816 36676224 73352448 1893610409 3787220818 5680831227 7574441636 11361662454 15148883272 17042493681 22723324908 24616935317 30297766544 34084987362 45446649816 49233870634 58701922679 60595533088 68169974724 73850805951 90893299632 98467741268 117403845358 121191066176 136339949448 147701611902 149595222311 176105768037 181786599264 196935482536 221552417853 234807690716 242382132352 272679898896 295403223804 299190444622 352211536074 363573198528 393870965072 443104835706 448785666933 469615381432 484764264704 528317304111 545359797792 590806447608 598380889244 704423072148 727146397056 763124994827 787741930144 886209671412 897571333866 939230762864 1056634608222 1090719595584 1181612895216 1196761778488 1346357000799 1408846144296 1454292794112 1526249989654 1575483860288 1772419342824 1795142667732 1878461525728 1944737890043 2113269216444 2181439191168 2289374984481 2363225790432 2393523556976 2692714001598 2817692288592 3052499979308 3150967720576 3544838685648 3590285335464 3756923051456 3889475780086 4226538432888 4362878382336 4578749968962 4637451891641 4726451580864 4787047113952 5385428003196 5635384577184 5834213670129 6104999958616 6301935441152 6868124953443 7089677371296 7180570670928 7513846102912 7778951560172 8453076865776 9157499937924 9274903783282 9452903161728 9574094227904 10770856006392 11270769154368 11668427340258 12209999917232 13736249906886 13912355674923 14179354742592 14361141341856 15027692205824 15557903120344 16906153731552 17502641010387 18314999875848 18549807566564 18905806323456 19148188455808 21541712012784 22541538308736 23336854680516 24419999834464 27472499813772 27824711349846 28358709485184 28722282683712 31115806240688 33812307463104 35005282020774 36629999751696 37099615133128 38296376911616 41737067024769 43083424025568 45083076617472 46673709361032 48839999668928 54944999627544 55649422699692 56717418970368 57444565367424 60286874591333 62231612481376 67624614926208 70010564041548 73259999503392 74199230266256 83474134049538 86166848051136 93347418722064 97679999337856 109889999255088 111298845399384 114889130734848 120573749182666 124463224962752 135249229852416 140021128083096 146519999006784 148398460532512 166948268099076 172333696102272 180860623773999 186694837444128 195359998675712 219779998510176 222597690798768 241147498365332 248926449925504 280042256166192 293039998013568 296796921065024 333896536198152 344667392204544 361721247547998 373389674888256 439559997020352 445195381597536 482294996730664 497852899851008 542581871321997 560084512332384 586079996027136 593593842130048 667793072396304 723442495095996 746779349776512 879119994040704 890390763195072 964589993461328 1085163742643994 1120169024664768 1187187684260096 1335586144792608 1446884990191992 1493558699553024 1758239988081408 1780781526390144 1929179986922656 2170327485287988 2240338049329536 2671172289585216 2893769980383984 3561563052780288 3858359973845312 4340654970575976 4480676098659072 5342344579170432 5787539960767968 7716719947690624 8681309941151952 10684689158340864 11575079921535936 15433439895381248 17362619882303904 23150159843071872 34725239764607808 46300319686143744 69450479529215616 138900959058431232
- Sum of all divisors σ(n): 450840461698099200
- Sum of proper divisors (its aliquot sum) s(n): 311939502639667968
- 138900959058431232 is an abundant number, because the sum of its proper divisors (311939502639667968) is greater than itself. Its abundance is 173038543581236736
Bases of 138900959058431232
- Binary: 1111011010111100110101111101100111010001110001101000000002
- Hexadecimal: 0x1ED79AFB3A38D00
- Base-36: 11ZOA3OIWJK0
Squares and roots of 138900959058431232
- 138900959058431232 squared (1389009590584312322) is 19293476427351989324117184873037824
- 138900959058431232 cubed (1389009590584312323) is 2679882379330426744890774041104261421376579638919168
-
The
square root of 138900959058431232 is 372694189.7299060817 -
The
cube root of 138900959058431232 is 517887.0858203439
Scales and comparisons
How big is 138900959058431232?- 138,900,959,058,431,232 seconds is equal to 4,416,620,849 years, 9 weeks, 3 days, 5 hours, 7 minutes, 12 seconds.
-
To count from 1 to 138,900,959,058,431,232 would take you about thirteen billion, two hundred forty-nine million, eight hundred sixty-two thousand, five 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 138900959058431232 cubic inches would be around 43157.3 feet tall.
Recreational maths with 138900959058431232
- 138900959058431232 backwards is 232134850959009831
- 138900959058431232 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138900959058431232's digits is 72
- More coming soon!
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The information we have on file for 138900959058431232 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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