138810221231968
138,810,221,231,968 is an even composite number composed of six prime numbers multiplied together.
What does the number 138810221231968 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
138810221231968 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138810221231968:
25 × 113 × 13 × 192 × 37 × 1372
(2 × 2 × 2 × 2 × 2 × 11 × 11 × 11 × 13 × 19 × 19 × 37 × 137 × 137)See below for interesting mathematical facts about the number 138810221231968 from the Numbermatics database.
Names of 138810221231968
- Cardinal: 138810221231968 can be written as One hundred thirty-eight trillion, eight hundred ten billion, two hundred twenty-one million, two hundred thirty-one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38810221231968 × 1014
Factors of 138810221231968
Divisors of 138810221231968
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 4 8 11 13 16 19 22 26 32 37 38 44 52 74 76 88 104 121 137 143 148 152 176 208 209 242 247 274 286 296 304 352 361 407 416 418 481 484 494 548 572 592 608 703 722 814 836 962 968 988 1096 1144 1184 1331 1406 1444 1507 1573 1628 1672 1781 1924 1936 1976 2192 2288 2299 2603 2662 2717 2812 2888 3014 3146 3256 3344 3562 3848 3872 3952 3971 4384 4477 4576 4598 4693 5069 5206 5291 5324 5434 5624 5776 6028 6292 6512 6688 7124 7696 7733 7904 7942 8954 9139 9196 9386 10138 10412 10582 10648 10868 11248 11552 12056 12584 13024 13357 14248 15392 15466 15884 16577 17303 17908 18278 18392 18769 18772 19591 20276 20824 21164 21296 21736 22496 24112 25168 25289 26714 28496 28633 29887 30932 31768 33154 33839 34606 35816 36556 36784 37538 37544 39182 40552 41648 42328 42592 43472 43681 48224 49247 49457 50336 50578 51623 53428 55759 56992 57266 58201 59774 61864 63536 65897 66308 67678 69212 71632 73112 73568 75076 75088 78364 81104 83296 84656 85063 86944 87362 96311 98494 98914 100529 101156 103246 106856 111518 114532 116402 119548 123728 127072 131794 132616 135356 138424 143264 146224 146927 150152 150176 156728 162208 169312 170126 173641 174724 182347 192622 196988 197828 201058 202312 206459 206492 213712 215501 223036 229064 232804 239096 243997 247456 263588 265232 270712 276848 292448 293854 300304 313456 314963 328757 340252 347282 349448 356611 364694 372229 385244 393976 395656 402116 404624 412918 412984 427424 431002 446072 458128 465608 478192 480491 487994 527176 530464 541424 544027 553696 567853 587708 600608 613349 626912 629926 640211 642941 657514 680504 694453 694564 698896 713222 724867 729388 744458 770488 787952 791312 804232 809248 825836 825968 862004 892144 916256 931216 935693 956384 960982 975988 1054352 1059421 1082848 1088054 1105819 1135706 1175416 1226698 1252043 1259852 1280422 1285882 1315028 1361008 1388906 1389128 1397792 1426444 1449734 1458776 1488916 1540976 1575904 1582624 1608464 1616197 1651672 1651936 1724008 1784288 1829909 1862432 1871386 1910051 1921964 1951976 2108704 2118842 2176108 2211638 2271049 2271412 2350832 2370511 2453396 2504086 2519704 2560844 2571764 2630056 2683967 2722016 2777812 2778256 2852888 2899468 2917552 2977832 3081952 3216928 3232394 3303344 3448016 3464593 3659818 3742772 3820102 3843928 3903952 3922721 4094519 4237684 4352216 4423276 4542098 4542824 4635943 4701664 4741022 4906792 5008172 5039408 5121688 5143528 5260112 5367934 5555624 5556512 5705776 5798936 5835104 5955664 5984297 6246383 6464788 6606688 6746839 6775609 6896032 6929186 7072351 7319636 7485544 7638983 7640204 7687856 7807904 7845442 7973537 8189038 8475368 8704432 8846552 9027889 9084196 9085648 9271886 9482044 9813584 10016344 10078816 10243376 10287056 10520224 10735868 11111248 11411552 11597872 11653631 11911328 11968594 12164009 12492766 12929576 13194607 13493678 13551218 13772473 13858372 14144702 14639272 14971088 15277966 15280408 15375712 15690884 15947074 16378076 16950736 17408864 17693104 17778167 18055778 18168392 18171296 18543772 18964088 19627168 20032688 20128999 20486752 20574112 21010561 21471736 22222496 23195744 23307262 23788817 23937188 24328018 24981539 24985532 25859152 26389214 26987356 27102436 27544946 27716744 28289404 29278544 29523637 29942176 30555932 30560816 31381768 31894148 32756152 33901472 35386208 35556334 36111556 36336784 37087544 37928176 40065376 40257998 42021122 42943472 43149931 45039709 46614524 47577634 47874376 48656036 49963078 49971064 50995373 51718304 52778428 53974712 54204872 55089892 55433488 56578808 58557088 59047274 61111864 61121632 62763536 63788296 65512304 65827267 71112668 72223112 72673568 74175088 74531699 75856352 77795861 80515996 84028813 84042244 85886944 86299862 87708907 88082917 90079418 93229048 95155268 95748752 97312072 99306779 99926156 99942128 101990746 105556856 107949424 108409744 110179784 110866976 113157616 118094548 122223728 125527072 127576592 128189941 131024608 131654534 142225336 144446224 145140677 148350176 149063398 151497203 155591722 161031992 168057626 168084488 171529891 172599724 175417814 176165834 180158836 186458096 190310536 191497504 194624144 198613558 199852312 199884256 203981492 211113712 215898848 216819488 220359568 221418989 226315232 231116171 236189096 244447456 250697533 255153184 256379882 261676987 263309068 284450672 288892448 290281354 298126796 302994406 311183444 322063984 324760007 336115252 336168976 343059782 345199448 350835628 352331668 360317672 372916192 380621072 389248288 397227116 399704624 407962984 422227424 440719136 442837978 462232342 472378192 474649241 501395066 512759764 523353974 526618136 560949103 568901344 580562708 596253592 605988812 622366888 644127968 649520014 672230504 672337952 686119564 690398896 701671256 704663336 720635344 761242144 794454232 799409248 815925968 819848689 855754471 885675956 924316943 924464684 944756384 949298482 968912087 1002790132 1025519528 1046707948 1053236272 1092374569 1121898206 1161125416 1192507184 1211977624 1244733776 1299040028 1344461008 1372239128 1380797792 1403342512 1409326672 1441270688 1588908464 1596547447 1631851936 1639697378 1666469233 1711508942 1771351912 1848633886 1848929368 1886828801 1898596964 1937824174 2005580264 2051039056 2093415896 2106472544 2184749138 2243796412 2322250832 2385014368 2423955248 2435608879 2489467552 2598080056 2688922016 2744478256 2757672863 2806685024 2818653344 2878446857 3177816928 3193094894 3259067929 3279394756 3332938466 3423017884 3542703824 3697267772 3697858736 3773657602 3797193928 3875648348 4011160528 4102078112 4186831792 4369498276 4487592824 4644501664 4847910496 4871217758 5196160112 5488956512 5515345726 5756893714 6170440133 6386189788 6518135858 6558789512 6665876932 6846035768 7085407648 7394535544 7395717472 7547315204 7594387856 7751296696 8022321056 8373663584 8738996552 8975185648 9018335579 9742435516 10392320224 10658032957 11030691452 11513787428 12016120259 12340880266 12772379576 13036271716 13117579024 13331753864 13692071536 14789071088 15094630408 15188775712 15502593392 17477993104 17562021917 17950371296 18036671158 19484871032 20755116811 21316065914 22061382904 23027574856 24032240518 24681760532 25544759152 26072543432 26235158048 26663507728 27384143072 29578142176 30189260816 30334401493 31005186784 31662915427 34955986208 35124043834 35849747219 36073342316 38969742064 41510233622 42632131828 44122765808 46055149712 48064481036 49363521064 51089518304 52145086864 53327015456 60378521632 60668802986 63325830854 70248087668 71699494438 72146684632 77939484128 83020467244 85264263656 88245531616 92110299424 96128962072 98727042128 104290173728 117238362527 121337605972 126651661708 140496175336 143398988876 144293369264 166040934488 170528527312 192257924144 197454084256 228306284921 234476725054 242675211944 253303323416 280992350672 286797977752 288586738528 332081868976 333678416423 341057054624 384515848288 394347219409 456612569842 468953450108 485350423888 506606646832 561984701344 573595955504 664163737952 667356832846 788694438818 913225139684 937906900216 970700847776 1013213293664 1147191911008 1334713665692 1577388877636 1826450279368 1875813800432 2669427331384 3154777755272 3652900558736 3751627600864 4337819413499 5338854662768 6309555510544 7305801117472 8675638826998 10677709325536 12619111021088 17351277653996 34702555307992 69405110615984 138810221231968
- Sum of all divisors σ(n): 353460476301408
- Sum of proper divisors (its aliquot sum) s(n): 214650255069440
- 138810221231968 is an abundant number, because the sum of its proper divisors (214650255069440) is greater than itself. Its abundance is 75840033837472
Bases of 138810221231968
- Binary: 111111000111111010001011110110101111111011000002
- Hexadecimal: 0x7E3F45ED7F60
- Base-36: 1D7CJ9QX5S
Squares and roots of 138810221231968
- 138810221231968 squared (1388102212319682) is 19268277518467899743665153024
- 138810221231968 cubed (1388102212319683) is 2674633865097484544227965008998776520671232
-
The
square root of 138810221231968 is 11781774.9610136417 -
The
cube root of 138810221231968 is 51777.4290379289
Scales and comparisons
How big is 138810221231968?- 138,810,221,231,968 seconds is equal to 4,413,735 years, 34 weeks, 4 days, 18 hours, 39 minutes, 28 seconds.
-
To count from 1 to 138,810,221,231,968 would take you about eleven million, thirty-four thousand, three hundred thirty-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 138810221231968 cubic inches would be around 4314.8 feet tall.
Recreational maths with 138810221231968
- 138810221231968 backwards is 869132122018831
- The number of decimal digits it has is: 15
- The sum of 138810221231968's digits is 55
- More coming soon!
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"Number 138810221231968 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 138810221231968 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/138810221231968/
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The information we have on file for 138810221231968 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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