138507984475112538
138,507,984,475,112,538 is an even composite number composed of six prime numbers multiplied together.
What does the number 138507984475112538 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
138507984475112538 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138507984475112538:
2 × 34 × 113 × 133 × 67 × 20892
(2 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 13 × 13 × 13 × 67 × 2089 × 2089)See below for interesting mathematical facts about the number 138507984475112538 from the Numbermatics database.
Names of 138507984475112538
- Cardinal: 138507984475112538 can be written as One hundred thirty-eight quadrillion, five hundred seven trillion, nine hundred eighty-four billion, four hundred seventy-five million, one hundred twelve thousand, five hundred thirty-eight.
Scientific notation
- Scientific notation: 1.38507984475112538 × 1017
Factors of 138507984475112538
Divisors of 138507984475112538
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 67 78 81 99 117 121 134 143 162 169 198 201 234 242 286 297 338 351 363 402 429 507 594 603 702 726 737 858 871 891 1014 1053 1089 1206 1287 1331 1474 1521 1573 1742 1782 1809 1859 2089 2106 2178 2197 2211 2574 2613 2662 3042 3146 3267 3618 3718 3861 3993 4178 4394 4422 4563 4719 5226 5427 5577 6267 6534 6591 6633 7722 7839 7986 8107 9126 9438 9581 9801 10854 11154 11323 11583 11979 12534 13182 13266 13689 14157 15678 16214 16731 17303 18801 19162 19602 19773 19899 20449 22646 22979 23166 23517 23958 24167 24321 27157 27378 28314 28743 33462 33969 34606 35937 37602 39546 39798 40898 42471 45958 47034 48334 48642 50193 51909 54314 56403 57486 59319 59697 61347 67938 68937 70551 71874 72501 72963 81471 84942 86229 89177 100386 101907 103818 105391 107811 112806 118638 119394 122694 124553 127413 137874 139963 141102 145002 145926 147199 150579 155727 162942 169209 172458 177957 178354 184041 203814 206811 210782 215622 217503 218889 224939 244413 249106 252769 254826 258687 265837 267531 279926 294398 298727 301158 305721 311454 316173 338418 353041 355914 368082 373659 413622 419889 435006 437778 441597 449878 467181 488826 505538 517374 531674 535062 552123 597454 611442 620433 632346 652509 656667 674817 706082 733239 747318 758307 776061 797511 802593 839778 883194 896181 917163 934362 948519 1059123 1104246 1120977 1159301 1240866 1259667 1305018 1313334 1324791 1349634 1370083 1401543 1466478 1516614 1539593 1552122 1595022 1605186 1619189 1656369 1792362 1819519 1834326 1861299 1897038 1957527 2024451 2118246 2199717 2241954 2274921 2318602 2392533 2407779 2519334 2649582 2688543 2740166 2780459 2803086 2845557 2924207 3079186 3177369 3238378 3285997 3312738 3362931 3477903 3639038 3722598 3779001 3883451 3915054 3974373 4048902 4110249 4363921 4399434 4549842 4589533 4618779 4785066 4815558 4857567 5377086 5458557 5560918 5691114 5848414 6073353 6354738 6571994 6725862 6824763 6955806 7177599 7223337 7558002 7766902 7948746 8065629 8220498 8341377 8536671 8727842 8772621 9179066 9237558 9532107 9715134 9857991 10088793 10433709 10917114 11337003 11650353 11923119 12146706 12330747 13091763 13649526 13768599 13856337 14355198 14446674 14572701 15070913 16131258 16375671 16682754 16935523 17073342 17545242 17811079 18220059 19064214 19715982 20014709 20177586 20474289 20867418 21532797 22674006 23300706 23653747 23846238 24196887 24661494 25024131 26183526 26317863 27537198 27712674 28596321 29145402 29573973 30141826 31301127 32751342 33871046 34951059 35622158 36145967 36440118 36992241 39275289 40029418 40948578 41305797 41569011 42717961 43065594 43718103 45212739 47307494 48003131 48393774 49127013 50048262 50484863 50806569 52635726 53433237 56730973 57192642 59147946 60044127 62602254 69902118 70961241 72291934 73984482 75072393 78550578 78953589 82611594 83138022 85435922 87436206 88721919 90425478 93903381 96006262 98254026 100969726 101613138 104853177 106866474 108437901 110976723 113461946 117825867 120088254 123917391 124707033 128153883 131154309 135638217 141922482 144009393 147381039 150144786 151454589 152419707 157907178 160299711 170192919 177443838 180132381 186290753 187806762 195921869 209706354 212883723 216875802 220161799 221953446 225217179 235651734 236860767 247834782 249414066 256307766 260191217 262308618 266165757 271276434 288018786 292382707 294762078 302909178 304839414 307498711 314559531 320599422 325313703 340385838 353477601 360264762 371752173 372581506 384461649 391843738 406914651 425767446 432028179 440323598 450434358 454363767 457259121 469897571 473721534 480899133 510578757 520382434 528034441 532331514 540397143 555333493 558872259 584765414 587765607 614997422 624040703 629119062 638651169 650627406 660485397 706955202 737502649 743504346 768923298 780573651 813829302 864056358 877148121 908727534 914518242 922496133 939795142 961798266 975941109 1021157514 1056068882 1080794286 1110666986 1117744518 1153384947 1175531214 1220743953 1248081406 1277302338 1296084537 1320970794 1363091301 1371777363 1409692713 1442697399 1475005298 1531736271 1561147302 1584103323 1621191429 1666000479 1676616777 1754296242 1763296821 1844992266 1872122109 1915953507 1951882218 1981456191 2212507947 2306769894 2341720953 2421779789 2441487906 2592169074 2631444363 2726182602 2743554726 2767488399 2819385426 2862103387 2885394798 2927823327 3063472542 3168206646 3216209777 3242382858 3332000958 3353233554 3382485821 3460154841 3526593642 3744244218 3800975191 3831907014 3888253611 3962912382 4089273903 4229078139 4425015894 4595208813 4683441906 4752309969 4843559578 4998001437 5029850331 5262888726 5289890463 5534976798 5616366327 5724206774 5808378851 5855646654 5944368573 6108668423 6432419554 6637523841 6764971642 6864447733 6920309682 7025162859 7265339367 7601950382 7776507222 7894333089 8112529139 8178547806 8302465197 8458156278 8586310161 9190417626 9504619938 9587534437 9648629331 9996002874 10059700662 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85541579442 86287809933 86837663979 89237820529 89964025866 91327117167 94449411771 98825354966 101094593886 102626330157 104550819318 105462878807 106134922641 109956031614 111622032093 119475429138 123560059194 125432181303 130776108606 146025524502 148238032449 151017850126 154553582898 156826228977 164934047421 172575619866 173675327958 178475641058 182654234334 185340088791 188898823542 196164162909 205252660314 210925757614 212269845282 219038286753 223244064186 226526775189 231830374347 250864362606 258863429799 260512991937 267713461587 273981351501 283348235313 296476064898 307878990471 313652457954 316388636421 318404767923 329868094842 334866096279 370680177582 376296543909 389161383017 392328325818 409280784341 438076573506 444714097347 453053550378 459917998111 463660748694 470478686931 494802142263 517726859598 521025983874 535426923174 543539452313 547962703002 556020266373 566696470626 615757980942 632777272842 636809535846 642364807279 657114860259 669732192558 679580325567 752593087818 776590289397 778322766034 803140384761 818561568682 850044705939 889428194694 919835996222 940957373862 949165909263 955214303769 981616025819 989604284526 1004598288837 1087078904626 1112040532746 1128889631727 1160091666877 1167484149051 1227842353023 1284729614558 1314229720518 1334142292041 1359160651134 1379753994333 1553180578794 1606280769522 1630618356939 1700089411878 1898331818526 1910428607538 1927094421837 1963232051638 2009196577674 2038740976701 2257779263454 2320183333754 2334968298102 2409421154283 2455684706046 2550134117817 2668284584082 2759507988666 2847497727789 2865642911307 2944848077457 3013794866511 3261236713878 3386668895181 3480275000631 3502452447153 3683527059069 3854188843674 4002426876123 4077481953402 4139261982999 4818842308566 4891855070817 5059097979221 5100268235634 5694995455578 5731285822614 5781283265511 5889696154914 5978933975443 6027589733022 6116222930103 6773337790362 6960550001262 7004904894306 7066012880069 7228263462849 7367054118138 8004853752246 8278523965998 8542493183367 8834544232371 9783710141634 10118195958442 10440825001893 10507357341459 11050581177207 11562566531022 11957867950886 12232445860206 12417785948997 12761008335647 14132025760138 14456526925698 14675565212451 15177293937663 17084986366734 17343849796533 17669088464742 17936801926329 20881650003786 21014714682918 21198038640207 22101162354414 24835571897994 25522016671294 26503632697113 29351130424902 30354587875326 31322475005679 31522072024377 33151743531621 34687699593066 35873603852658 37253357846991 38283025006941 42396077280414 44026695637353 45531881812989 52031549389599 53007265394226 53810405778987 62644950011358 63044144048754 63594115920621 65768273729873 66303487063242 74506715693982 76566050013882 77726141680759 79510898091339 88053391274706 91063763625978 93967425017037 104063098779198 107620811557974 114849075020823 127188231841242 131536547459746 136595645438967 155452283361518 159021796182678 161431217336961 187934850034074 190782347761863 197304821189619 229698150041646 233178425042277 273191290877934 322862434673922 344547225062469 381564695523726 394609642379238 409786936316901 466356850084554 484293652010883 572347043285589 591914463568857 689094450124938 699535275126831 819573872633802 854987558488349 968587304021766 1033641675187407 1144694086571178 1183828927137714 1399070550253662 1709975116976698 1775743390706571 2067283350374814 2098605825380493 2564962675465047 3551486781413142 4197211650760986 5129925350930094 5327230172119713 6295817476141479 7694888026395141 10654460344239426 12591634952282958 15389776052790282 23084664079185423 46169328158370846 69253992237556269 138507984475112538
- Sum of all divisors σ(n): 375507311082583680
- Sum of proper divisors (its aliquot sum) s(n): 236999326607471142
- 138507984475112538 is an abundant number, because the sum of its proper divisors (236999326607471142) is greater than itself. Its abundance is 98491342132358604
Bases of 138507984475112538
- Binary: 1111011000001010001000111001011010011000111000100010110102
- Hexadecimal: 0x1EC14472D31C45A
- Base-36: 11VSZDNEARMI
Squares and roots of 138507984475112538
- 138507984475112538 squared (1385079844751125382) is 19184461763358015848738707764801444
- 138507984475112538 cubed (1385079844751125383) is 2657201132082582164001829667806265713704017124904872
-
The
square root of 138507984475112538 is 372166608.4902197913 -
The
cube root of 138507984475112538 is 517398.2274447919
Scales and comparisons
How big is 138507984475112538?- 138,507,984,475,112,538 seconds is equal to 4,404,125,472 years, 51 weeks, 15 hours, 42 minutes, 18 seconds.
-
To count from 1 to 138,507,984,475,112,538 would take you about thirteen billion, two hundred twelve million, three hundred seventy-six thousand, four hundred eighteen 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 138507984475112538 cubic inches would be around 43116.5 feet tall.
Recreational maths with 138507984475112538
- 138507984475112538 backwards is 835211574489705831
- 138507984475112538 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138507984475112538's digits is 81
- More coming soon!
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The information we have on file for 138507984475112538 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!
Keywords: Divisors of 138507984475112538, math, Factors of 138507984475112538, curriculum, school, college, exams, university, Prime factorization of 138507984475112538, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, five hundred seven trillion, nine hundred eighty-four billion, four hundred seventy-five million, one hundred twelve thousand, five hundred thirty-eight.