138516130535533056
138,516,130,535,533,056 is an even composite number composed of five prime numbers multiplied together.
138516130535533056 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138516130535533056:
29 × 32 × 173 × 313 × 593
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 17 × 17 × 17 × 31 × 31 × 31 × 59 × 59 × 59)See below for interesting mathematical facts about the number 138516130535533056 from the Numbermatics database.
Names of 138516130535533056
- Cardinal: 138516130535533056 can be written as One hundred thirty-eight quadrillion, five hundred sixteen trillion, one hundred thirty billion, five hundred thirty-five million, five hundred thirty-three thousand and fifty-six.
Scientific notation
- Scientific notation: 1.38516130535533056 × 1017
Factors of 138516130535533056
Divisors of 138516130535533056
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 17 18 24 31 32 34 36 48 51 59 62 64 68 72 93 96 102 118 124 128 136 144 153 177 186 192 204 236 248 256 272 279 288 289 306 354 372 384 408 472 496 512 527 531 544 558 576 578 612 708 744 768 816 867 944 961 992 1003 1054 1062 1088 1116 1152 1156 1224 1416 1488 1536 1581 1632 1734 1829 1888 1922 1984 2006 2108 2124 2176 2232 2304 2312 2448 2601 2832 2883 2976 3009 3162 3264 3468 3481 3658 3776 3844 3968 4012 4216 4248 4352 4464 4608 4624 4743 4896 4913 5202 5487 5664 5766 5952 6018 6324 6528 6936 6962 7316 7552 7688 7936 8024 8432 8496 8649 8704 8928 8959 9027 9248 9486 9792 9826 10404 10443 10974 11328 11532 11904 12036 12648 13056 13872 13924 14632 14739 15104 15376 15872 16048 16337 16461 16864 16992 17051 17298 17856 17918 18054 18496 18972 19584 19652 20808 20886 21948 22656 23064 23808 24072 25296 26112 26877 27744 27848 29264 29478 29791 30208 30752 31093 31329 32096 32674 32922 33728 33984 34102 34596 35712 35836 36108 36992 37944 39168 39304 41616 41772 43896 44217 45312 46128 47616 48144 49011 50592 51153 53754 55488 55696 56699 58528 58956 59177 59582 61504 62186 62658 64192 65348 65844 67456 67968 68204 69192 71424 71672 72216 73984 75888 78336 78608 80631 83232 83544 87792 88434 89373 90624 92256 93279 96288 98022 101184 102306 107508 107911 110976 111392 113398 117056 117912 118354 119164 123008 124372 125316 128384 130696 131688 134912 135936 136408 138384 142848 143344 144432 147033 147968 151776 152303 153459 157216 161262 166464 167088 170097 175584 176868 177531 178746 184512 186558 192576 196044 202368 204612 205379 215016 215822 221952 222784 226796 234112 235824 236708 238328 246016 248744 250632 256768 261392 263376 268119 269824 271872 272816 276768 277729 279837 286688 288864 289867 294066 303552 304606 306918 314432 322524 323733 332928 334176 340194 351168 353736 355062 357492 369024 373116 385152 392088 404736 409224 410758 430032 431644 443904 445568 453592 456909 468224 471648 473416 476656 492032 497488 501264 506447 510291 513536 522784 526752 528581 532593 536238 545632 553536 555458 559674 573376 577728 579734 588132 607104 609212 613836 616137 628864 645048 647466 665856 668352 680388 702336 707472 710124 714984 738048 746232 770304 784176 809472 818448 821516 833187 860064 863288 869601 891136 907184 913818 936448 943296 946832 953312 963883 971199 994976 1002528 1006009 1012894 1020582 1045568 1053504 1057162 1065186 1072476 1091264 1107072 1110916 1119348 1146752 1155456 1159468 1176264 1214208 1218424 1227672 1232274 1257728 1290096 1294932 1331712 1336704 1360776 1370727 1404672 1414944 1420248 1429968 1476096 1492464 1519341 1540608 1568352 1585743 1636896 1643032 1666374 1720128 1726576 1739202 1757669 1782272 1814368 1827636 1834487 1848411 1886592 1893664 1906624 1927766 1942398 1989952 2005056 2012018 2025788 2041164 2091136 2107008 2114324 2130372 2144952 2182528 2214144 2221832 2238696 2293504 2310912 2318936 2352528 2428416 2436848 2455344 2464548 2499561 2515456 2580192 2589864 2608803 2673408 2721552 2741454 2809344 2829888 2840496 2859936 2891649 2984928 3018027 3038682 3136704 3171486 3273792 3286064 3332748 3345241 3440256 3453152 3478404 3491443 3515338 3628736 3655272 3668974 3696822 3773184 3787328 3813248 3855532 3884796 3979904 4010112 4024036 4051576 4082328 4182272 4214016 4228648 4260744 4289904 4365056 4428288 4443664 4477392 4558023 4587008 4621824 4637872 4705056 4721393 4757229 4873696 4910688 4929096 4999122 5160384 5179728 5217606 5273007 5346816 5443104 5482908 5503461 5659776 5680992 5719872 5783298 5969856 6036054 6077364 6273408 6342972 6366749 6547584 6572128 6665496 6690482 6880512 6906304 6956808 6982886 7030676 7257472 7310544 7337948 7393644 7546368 7574656 7626496 7711064 7769592 7959808 8020224 8048072 8103152 8164656 8364544 8428032 8457296 8521488 8579808 8609599 8674947 8730112 8887328 8954784 8985877 9054081 9116046 9275744 9410112 9442786 9514458 9747392 9821376 9858192 9998244 10035723 10320768 10359456 10435212 10474329 10546014 10886208 10965816 11006922 11319552 11361984 11439744 11566596 11939712 12072108 12154728 12546816 12685944 12733498 13095168 13144256 13330992 13380964 13761024 13812608 13913616 13965772 14061352 14164179 14514944 14621088 14675896 14787288 15149312 15252992 15422128 15539184 15819021 15919616 16040448 16096144 16206304 16329312 16386011 16510383 16914592 17042976 17102153 17159616 17219198 17349894 17774656 17909568 17971754 18108162 18232092 18551488 18820224 18885572 19028916 19100247 19494784 19642752 19716384 19996488 20071446 20641536 20718912 20870424 20948658 21092028 21772416 21931632 22013844 22639104 22723968 22879488 23133192 23879424 24144216 24309456 25093632 25371888 25466996 25828797 26190336 26288512 26661984 26761928 26957631 27625216 27827232 27931544 28122704 28328358 29029888 29242176 29351792 29574576 29880373 30107169 30298624 30844256 31078368 31186279 31422987 31638042 32192288 32412608 32658624 32772022 33020766 33829184 34085952 34204306 34319232 34438396 34699788 35549312 35819136 35943508 36216324 36464184 37102976 37640448 37771144 38057832 38200494 38989568 39285504 39432768 39992976 40142892 41283072 41437824 41740848 41897316 42184056 42492537 43544832 43863264 44027688 45447936 45758976 46266384 47758848 48288432 48618912 49158033 50743776 50933992 51306459 51657594 52577024 53323968 53523856 53915262 55250432 55654464 55863088 56245408 56656716 56869097 57300741 58484352 58703584 59149152 59354531 59760746 60214338 61688512 62156736 62372558 62845974 63276084 64384576 64825216 65317248 65544044 66041532 67658368 68171904 68408612 68638464 68876792 69399576 71098624 71638272 71887016 72432648 72928368 74205952 75280896 75542288 76115664 76400988 77486391 77979136 78571008 78865536 79985952 80285784 80872893 82875648 83481696 83794632 84368112 84985074 87089664 87726528 88055376 89641119 90895872 92532768 93558837 96576864 97237824 98316066 101487552 101867984 102612918 103315188 103702471 105154048 106647936 107047712 107830524 108234733 111308928 111726176 112490816 113313432 113738194 114601482 116968704 117407168 118298304 118709062 119521492 120428676 123377024 124313472 124745116 125691948 126552168 128769152 129650432 130634496 131088088 132083064 135316736 136343808 136817224 137276928 137753584 138799152 142197248 143276544 143774032 144865296 145856736 146363183 147474099 148411904 151084576 152231328 152801976 153919377 154972782 157731072 159971904 160571568 161745786 165751296 166963392 167589264 168736224 169970148 170607291 175453056 176110752 178063593 179282238 185065536 187117674 193153728 194475648 196632132 197369219 202975104 203735968 205225836 206630376 207404942 213295872 214095424 215661048 216469466 222617856 223452352 224981632 226626864 227476388 229202964 233937408 234814336 236596608 237418124 239042984 240857352 246754048 248626944 249490232 251383896 253104336 257538304 259300864 261268992 262176176 264166128 268923357 270633472 272687616 273634448 275507168 277598304 278562187 280676511 287548064 289730592 291713472 292726366 294948198 302169152 304462656 305603952 307838754 309945564 311107413 315462144 319943808 321143136 323491572 324704199 333926784 335178528 337472448 339940296 341214582 350906112 352221504 356127186 358564476 370131072 374235348 386307456 388951296 393264264 394738438 405950208 407471936 410451672 413260752 414809884 426591744 428190848 431322096 432938932 439089549 445235712 446904704 449963264 453253728 454952776 458405928 469628672 473193216 474836248 478085968 481714704 493508096 497253888 498980464 502767792 506208672 507966341 511821873 515076608 524352352 528332256 530166743 534190779 537846714 547268896 551014336 555196608 557124374 561353022 575096128 579461184 583426944 585452732 589896396 592107657 604338304 608925312 611207904 615677508 619891128 622214826 639887616 642286272 646983144 649408398 667853568 670357056 674944896 679880592 682429164 701812224 704443008 712254372 717128952 740262144 748470696 772614912 777902592 786528528 789476876 811900416 814943872 820903344 826521504 829619768 835686561 856381696 862644192 865877864 878179098 893809408 899926528 906507456 909905552 916811856 933322239 939257344 946386432 949672496 956171936 963429408 966774649 974112597 997960928 1005535584 1009027027 1012417344 1015932682 1023643746 1048704704 1056664512 1060333486 1068381558 1075693428 1094537792 1102028672 1110393216 1114248748 1122706044 1150192256 1158922368 1166853888 1170905464 1179792792 1184215314 1208676608 1217850624 1222415808 1231355016 1239782256 1244429652 1279775232 1284572544 1293966288 1298816796 1317268647 1335707136 1340714112 1349889792 1359761184 1364858328 1408886016 1424508744 1434257904 1480524288 1496941392 1523899023 1545229824 1573057056 1578953752 1590500229 1629887744 1641806688 1653043008 1659239536 1671373122 1712763392 1725288384 1731755728 1756358196 1762942007 1776322971 1787618816 1813014912 1819811104 1833623712 1839990461 1866644478 1899344992 1912343872 1926858816 1933549298 1948225194 1995921856 2011071168 2018054054 2024834688 2031865364 2047287492 2097409408 2113329024 2120666972 2136763116 2151386856 2189075584 2204057344 2220786432 2228497496 2245412088 2300384512 2317844736 2333707776 2341810928 2359585584 2368430628 2417353216 2435701248 2444831616 2462710032 2479564512 2488859304 2507059683 2569145088 2587932576 2597633592 2634537294 2681428224 2699779584 2719522368 2729716656 2817772032 2849017488 2868515808 2900323947 2993882784 3027081081 3047798046 3146114112 3157907504 3181000458 3259775488 3283613376 3306086016 3318479072 3342746244 3355276723 3450576768 3463511456 3512716392 3525884014 3552645942 3626029824 3639622208 3667247424 3679980922 3733288956 3798689984 3824687744 3853717632 3867098596 3896450388 3991843712 4022142336 4036108108 4049669376 4063730728 4094574984 4194818816 4226658048 4241333944 4273526232 4302773712 4378151168 4408114688 4441572864 4456994992 4490824176 4571697069 4600769024 4635689472 4683621856 4719171168 4736861256 4771500687 4889663232 4925420064 4959129024 4977718608 5014119366 5138290176 5175865152 5195267184 5269074588 5288826021 5362856448 5439044736 5459433312 5519971383 5698034976 5737031616 5800647894 5987765568 6054162162 6095596092 6118445789 6292228224 6315815008 6362000916 6567226752 6612172032 6636958144 6685492488 6710553446 6901153536 6927022912 7025432784 7051768028 7105291884 7252059648 7279244416 7334494848 7359961844 7466577912 7597379968 7649375488 7707435264 7734197192 7792900776 7983687424 8044284672 8072216216 8099338752 8127461456 8189149968 8389637632 8453316096 8482667888 8547052464 8605547424 8635427797 8700971841 8756302336 8913989984 8981648352 9081243243 9143394138 9367243712 9438342336 9473722512 9543001374 9779326464 9850840128 9918258048 9955437216 10028238732 10065830169 10351730304 10390534368 10538149176 10577652042 10878089472 10918866624 11039942766 11396069952 11474063232 11601295788 11975531136 12108324324 12191192184 12236891578 12584456448 12631630016 12724001832 13134453504 13224344064 13273916288 13370984976 13421106892 13802307072 13854045824 14050865568 14103536056 14210583768 14558488832 14668989696 14719923688 14933155824 15194759936 15298750976 15414870528 15468394384 15585801552 15866478063 15967374848 16088569344 16144432432 16254922912 16378299936 16435169033 16559914149 16965335776 17094104928 17211094848 17270855594 17401943682 17827979968 17963296704 18162486486 18286788276 18355337367 18734487424 18876684672 18947445024 19086002748 19701680256 19836516096 19910874432 20056477464 20131660338 20703460608 20781068736 21076298352 21155304084 21756178944 21837733248 22079885532 22792139904 22948126464 23202591576 23951062272 24216648648 24382384368 24473783156 25168912896 25263260032 25448003664 25906283391 26268907008 26547832576 26741969952 26842213784 27708091648 28101731136 28207072112 28421167536 29116977664 29337979392 29439847376 29866311648 29970014119 30197490507 30389519872 30936788768 31171603104 31279837837 31732956126 32288864864 32509845824 32756599872 32870338066 33119828298 33930671552 34188209856 34422189696 34541711188 34803887364 35655959936 35926593408 36324972972 36573576552 36710674734 37468974848 37753369344 37894890048 38172005496 39403360512 39673032192 39821748864 40112954928 40263320676 41406921216 41562137472 42152596704 42310608168 43675466496 44159771064 45584279808 45896252928 46405183152 47902124544 48433297296 48764768736 48947566312 49305507099 50526520064 50896007328 51812566782 53095665152 53483939904 53684427568 55066012101 55416183296 56203462272 56414144224 56842335072 57039704291 58879694752 59732623296 59940028238 60394981014 61873577536 62343206208 62559675674 63465912252 64577729728 65019691648 65513199744 65740676132 66239656596 67861343104 68376419712 68844379392 69083422376 69607774728 71311919872 71853186816 72649945944 73147153104 73421349468 74937949696 75506738688 75789780096 76344010992 77718850173 78806721024 79643497728 80225909856 80526641352 83124274944 84305193408 84621216336 87350932992 88319542128 89910042357 91168559616 92810366304 93839513511 96866594592 97529537472 97895132624 98611014198 101053040128 101792014656 103625133564 104013578413 106967879808 107368855136 110132024202 112406924544 112828288448 113684670144 114079408582 117759389504 119465246592 119880056476 120789962028 123747155072 124686412416 125119351348 126931824504 129155459456 130039383296 131026399488 131481352264 132479313192 135722686208 136752839424 137688758784 138166844752 139215549456 142623839744 143706373632 145299891888 146294306208 146842698936 147916521297 151579560192 152688021984 155437700346 159286995456 160451819712 161053282704 166248549888 168610386816 169242432672 171119112873 176639084256 179820084714 185620732608 187679027022 193733189184 195059074944 195790265248 197222028396 203584029312 207250267128 208027156826 213935759616 214737710272 220264048404 224813849088 225656576896 227369340288 228158817164 235518779008 238930493184 239760112952 241579924056 247494310144 249372824832 250238702696 253863649008 258310918912 260078766592 262052798976 262962704528 264958626384 269730127071 271445372416 273505678848 276333689504 278431098912 281518540533 290599783776 292588612416 293685397872 295833042594 303159120384 305376043968 310875400692 312040735239 320903639424 322106565408 337220773632 338484865344 342238225746 353278168512 359640169428 371241465216 375358054044 387466378368 390118149888 391580530496 394444056792 407168058624 414500534256 416054313652 427871519232 429475420544 440528096808 451313153792 454738680576 456317634328 471037558016 477860986368 479520225904 483159848112 494988620288 498745649664 500477405392 507727298016 509490240023 513357338619 516621837824 525925409056 529917252768 539460254142 552667379008 556862197824 563037081066 581199567552 585177224832 587370795744 591666085188 610752087936 621750801384 624081470478 641807278848 644213130816 674441547264 676969730688 684476451492 706556337024 719280338856 742482930432 750716108088 774932756736 780236299776 783161060992 788888113584 814336117248 829001068512 832108627304 858950841088 881056193616 902626307584 909477361152 912635268656 936122205717 942075116032 959040451808 966319696224 969674972947 1000954810784 1015454596032 1018980480046 1026714677238 1051850818112 1059834505536 1078920508284 1105334758016 1113724395648 1126074162132 1162399135104 1170354449664 1174741591488 1183332170376 1221504175872 1243501602768 1248162940956 1283614557696 1288426261632 1353939461376 1368952902984 1413112674048 1438560677712 1484965860864 1501432216176 1528470720069 1549865513472 1566322121984 1577776227168 1658002137024 1664217254608 1717901682176 1762112387232 1768230833021 1825270537312 1872244411434 1918080903616 1932639392448 1939349945894 2001909621568 2030909192064 2037960960092 2053429354476 2103701636224 2119669011072 2157841016568 2210669516032 2227448791296 2252148324264 2324798270208 2340708899328 2349483182976 2366664340752 2443008351744 2487003205536 2496325881912 2576852523264 2707878922752 2737905805968 2826225348096 2877121355424 2909024918841 3002864432352 3056941440138 3132644243968 3155552454336 3316004274048 3328434509216 3524224774464 3536461666042 3650541074624 3744488822868 3836161807232 3865278784896 3878699891788 4003819243136 4061818384128 4075921920184 4106858708952 4207403272448 4239338022144 4315682033136 4421339032064 4454897582592 4504296648528 4585412160207 4649596540416 4698966365952 4733328681504 4974006411072 4992651763824 5153705046528 5304692499063 5475811611936 5754242710848 5818049837682 6005728864704 6113882880276 6311104908672 6632008548096 6656869018432 7048449548928 7072923332084 7301082149248 7488977645736 7672323614464 7730557569792 7757399783576 8007638486272 8123636768256 8151843840368 8213717417904 8414806544896 8478676044288 8631364066272 8727074756523 9008593297056 9170824320414 9397932731904 9466657363008 9948012822144 9985303527648 10609384998126 10951623223872 11508485421696 11636099675364 12011457729408 12227765760552 12622209817344 13264017096192 13313738036864 14096899097856 14145846664168 14602164298496 14977955291472 15344647228928 15461115139584 15514799567152 15914077497189 16015276972544 16303687680736 16427434835808 17262728132544 17454149513046 18017186594112 18341648640828 18933314726016 19896025644288 19970607055296 21218769996252 21903246447744 23016970843392 23272199350728 24022915458816 24455531521104 25244419634688 26627476073728 28193798195712 28291693328336 29204328596992 29955910582944 30059924161357 31029599134304 31828154994378 32607375361472 32854869671616 34525456265088 34908299026092 36034373188224 36683297281656 37866629452032 39792051288576 39941214110592 42437539992504 43806492895488 46033941686784 46544398701456 48045830917632 48911063042208 53254952147456 56583386656672 59911821165888 60119848322714 62059198268608 63656309988756 65214750722944 65709739343232 69050912530176 69816598052184 72068746376448 73366594563312 75733258904064 79882428221184 84875079985008 87612985790976 90179772484071 93088797402912 97822126084416 113166773313344 119823642331776 120239696645428 124118396537216 127312619977512 130429501445888 131419478686464 138101825060352 139633196104368 144137492752896 146733189126624 159764856442368 169750159970016 180359544968142 186177594805824 195644252168832 226333546626688 239647284663552 240479393290856 248236793074432 254625239955024 260859002891776 262838957372928 270539317452213 279266392208736 293466378253248 339500319940032 360719089936284 372355189611648 391288504337664 452667093253376 479294569327104 480958786581712 496473586148864 509250479910048 541078634904426 558532784417472 586932756506496 679000639880064 721438179872568 744710379223296 782577008675328 905334186506752 961917573163424 1018500959820096 1082157269808852 1117065568834944 1173865513012992 1358001279760128 1442876359745136 1489420758446592 1923835146326848 2037001919640192 2164314539617704 2234131137669888 2347731026025984 2716002559520256 2885752719490272 3847670292653696 4074003839280384 4328629079235408 4468262275339776 5771505438980544 7695340585307392 8148007678560768 8657258158470816 11543010877961088 15390681170614784 17314516316941632 23086021755922176 34629032633883264 46172043511844352 69258065267766528 138516130535533056
- Sum of all divisors σ(n): 446472337984358400
- Sum of proper divisors (its aliquot sum) s(n): 307956207448825344
- 138516130535533056 is an abundant number, because the sum of its proper divisors (307956207448825344) is greater than itself. Its abundance is 169440076913292288
Bases of 138516130535533056
- Binary: 1111011000001101110101111110101000011101101101010000000002
- Hexadecimal: 0x1EC1BAFD43B6A00
- Base-36: 11VVVBWCCJK0
Squares and roots of 138516130535533056
- 138516130535533056 squared (1385161305355330562) is 19186718418536833095182214068699136
- 138516130535533056 cubed (1385161305355330563) is 2657669993010564332091079213652628430120322246639616
-
The
square root of 138516130535533056 is 372177552.4336913257 -
The
cube root of 138516130535533056 is 517408.3704812229
Scales and comparisons
How big is 138516130535533056?- 138,516,130,535,533,056 seconds is equal to 4,404,384,492 years, 26 weeks, 2 days, 8 hours, 57 minutes, 36 seconds.
-
To count from 1 to 138,516,130,535,533,056 would take you about thirteen billion, two hundred thirteen million, one hundred fifty-three thousand, four hundred seventy-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 138516130535533056 cubic inches would be around 43117.4 feet tall.
Recreational maths with 138516130535533056
- 138516130535533056 backwards is 650335535031615831
- The number of decimal digits it has is: 18
- The sum of 138516130535533056's digits is 63
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138516130535533056 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
APA style:
Numbermatics. (2024). Number 138516130535533056 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/138516130535533056/
Chicago style:
Numbermatics. 2024. "Number 138516130535533056 - Facts about the integer". https://numbermatics.com/n/138516130535533056/
The information we have on file for 138516130535533056 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 138516130535533056, math, Factors of 138516130535533056, curriculum, school, college, exams, university, Prime factorization of 138516130535533056, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, five hundred sixteen trillion, one hundred thirty billion, five hundred thirty-five million, five hundred thirty-three thousand and fifty-six.