42640138125312
42,640,138,125,312 is an even composite number composed of eight prime numbers multiplied together.
42640138125312 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 42640138125312:
214 × 3 × 7 × 13 × 17 × 29 × 61 × 317
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 17 × 29 × 61 × 317)See below for interesting mathematical facts about the number 42640138125312 from the Numbermatics database.
Names of 42640138125312
- Cardinal: 42640138125312 can be written as Forty-two trillion, six hundred forty billion, one hundred thirty-eight million, one hundred twenty-five thousand, three hundred twelve.
Scientific notation
- Scientific notation: 4.2640138125312 × 1013
Factors of 42640138125312
Divisors of 42640138125312
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 29 32 34 39 42 48 51 52 56 58 61 64 68 78 84 87 91 96 102 104 112 116 119 122 128 136 156 168 174 182 183 192 203 204 208 221 224 232 238 244 256 272 273 312 317 336 348 357 364 366 377 384 406 408 416 427 442 448 464 476 488 493 512 544 546 609 624 634 663 672 696 714 728 732 754 768 793 812 816 832 854 884 896 928 951 952 976 986 1024 1037 1088 1092 1131 1218 1248 1268 1281 1326 1344 1392 1428 1456 1464 1479 1508 1536 1547 1586 1624 1632 1664 1708 1768 1769 1792 1856 1902 1904 1952 1972 2048 2074 2176 2184 2219 2262 2379 2436 2496 2536 2562 2639 2652 2688 2784 2856 2912 2928 2958 3016 3072 3094 3111 3172 3248 3264 3328 3416 3451 3536 3538 3584 3712 3804 3808 3904 3944 4096 4121 4148 4352 4368 4438 4524 4641 4758 4872 4992 5072 5124 5278 5304 5307 5376 5389 5551 5568 5712 5824 5856 5916 6032 6144 6188 6222 6344 6409 6496 6528 6656 6657 6832 6902 7072 7076 7168 7259 7424 7608 7616 7808 7888 7917 8192 8242 8296 8704 8736 8876 9048 9193 9282 9516 9744 9984 10144 10248 10353 10556 10608 10614 10752 10778 11102 11136 11424 11648 11712 11832 12064 12288 12363 12376 12383 12444 12688 12818 12992 13056 13312 13314 13481 13664 13804 14144 14152 14336 14518 14848 15216 15232 15616 15776 15834 16167 16384 16484 16592 16653 17408 17472 17752 18096 18386 18564 19032 19227 19337 19488 19968 20288 20496 20706 21112 21216 21228 21504 21556 21777 22204 22272 22848 22997 23296 23424 23664 24128 24576 24726 24752 24766 24888 25376 25636 25984 26112 26624 26628 26962 27328 27579 27608 28288 28304 28672 28847 29036 29696 30073 30432 30464 31232 31552 31668 32334 32968 33184 33306 34816 34944 35504 36192 36772 37128 37149 37723 38064 38454 38674 38976 39936 40443 40576 40992 41412 42224 42432 42456 43008 43112 43554 44408 44544 44863 45696 45994 46592 46848 47328 48256 49152 49452 49504 49532 49776 50752 51272 51968 52224 53248 53256 53924 54656 55158 55216 56576 56608 57344 57694 58011 58072 59392 60146 60864 60928 62464 63104 63336 64351 64668 65936 66368 66612 68991 69632 69888 70057 71008 72384 73544 74256 74298 75446 76128 76908 77348 77952 79872 80886 81152 81984 82824 84448 84864 84912 86016 86224 86541 87108 88816 89088 89726 90219 91392 91988 93184 93696 94367 94656 96512 98904 99008 99064 99552 101504 102544 103936 104448 106496 106512 107848 109312 110316 110432 113152 113169 113216 114688 115388 116022 116144 118784 119509 120292 121728 121856 124928 126208 126672 128702 129336 131872 132736 133224 134589 135359 137982 139264 139776 140114 142016 144768 147088 148512 148596 150892 152256 153816 154696 155904 156281 159744 160979 161772 162304 163968 165648 168896 169728 169824 172032 172448 173082 174216 177632 178176 179452 180438 182784 183976 186368 187392 188734 189312 193024 193053 197808 198016 198128 199104 203008 205088 207872 208896 210171 210511 212992 213024 215696 218624 220632 220864 226304 226338 226432 230776 232044 232288 237568 239018 240584 243456 243712 249856 251381 252416 253344 257404 258672 263744 265472 266448 269178 270718 275964 278528 279552 280228 283101 284032 289536 294176 297024 297192 301784 304512 307632 309392 311808 312562 319488 321958 323544 324608 327936 328729 331296 337792 339456 339648 344064 344896 346164 348432 355264 356352 358527 358904 360876 365568 367952 372736 374784 377468 378624 386048 386106 390949 395616 396032 396256 398208 406016 406077 410176 415744 417792 420342 421022 426048 431392 437248 441264 441728 452608 452676 452864 461552 464088 464576 468843 475136 478036 481168 482937 486912 487424 490399 499712 502762 504832 506688 514808 517344 527488 530944 532896 538356 541436 551928 559104 560456 560773 566202 568064 579072 588352 594048 594384 603568 609024 615264 618784 623616 625124 631533 638976 643916 647088 649216 655872 657458 662592 675584 678912 679296 689792 692328 696864 710528 712704 717054 717808 721752 731136 735904 745472 749568 754143 754936 757248 772096 772212 781898 791232 792064 792512 796416 812032 812154 820352 831488 835584 836563 840684 842044 852096 862784 874496 882528 883456 905216 905352 905728 923104 928176 929152 937686 956072 962336 965874 973824 974848 980798 986187 999424 1005524 1009664 1013376 1029616 1034688 1054976 1061888 1065792 1076712 1082872 1093967 1103856 1118208 1120912 1121546 1132404 1136128 1158144 1172847 1176704 1188096 1188768 1207136 1218048 1230528 1237568 1247232 1250248 1263066 1287832 1294176 1298432 1311744 1314916 1325184 1351168 1357824 1358592 1379584 1384656 1393728 1421056 1425408 1434108 1435616 1443504 1462272 1471197 1471808 1490944 1499136 1508286 1509872 1514496 1544192 1544424 1563796 1582464 1584128 1585024 1592832 1624064 1624308 1640704 1662976 1673126 1681368 1682319 1684088 1704192 1725568 1748992 1759667 1765056 1766912 1810432 1810704 1811456 1846208 1856352 1858304 1875372 1912144 1924672 1931748 1947648 1949696 1961596 1972374 2011048 2019328 2026752 2031653 2059232 2069376 2109952 2123776 2131584 2153424 2165744 2187934 2207712 2236416 2241824 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76081152 76265128 77256704 78753792 79204352 80015872 80310048 80836224 82421248 82827264 84154624 84464016 84811776 85329426 86949888 87480588 87572576 88293376 88617984 89198592 89743017 90947584 91782912 91879424 92384256 94156608 94195712 94209864 96530304 96631808 97519344 98843136 100082944 101277696 101441536 102060686 102563448 103955712 105005056 105020832 107080064 107607552 107668416 107781632 109068288 110436352 110452944 112618688 112963584 113772568 114397692 115885056 116640784 118157312 118806528 118931456 119657356 120023808 122377216 123179008 123631872 123930833 125542144 125613152 126231936 128707072 129712128 130025792 131358864 131790848 132440064 133463974 136421376 136751264 137819136 138607616 140027776 141293568 143476736 143557888 144947712 147270592 150124416 150618112 152162304 152530256 153091029 154513408 157507584 158408704 160031744 160620096 161672448 164842496 165654528 168309248 168928032 169623552 170658852 174961176 175145152 177235968 178397184 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450474752 451854336 455090272 457590768 463540224 466563136 472629248 475226112 478629424 480095232 489508864 492716032 494527488 495723332 502168576 502452608 504927744 514828288 520103168 525435456 527163392 533855896 547005056 551276544 554430464 560111104 565174272 573906944 574231552 579790848 589082368 600497664 608649216 610121024 612364116 618053632 640126976 642480384 646689792 659369984 662618112 673236992 675712128 682635408 699844704 700580608 708943872 717944136 734263296 735035392 739074048 743584998 753252864 753678912 772242432 773054464 780154752 790745088 800663552 800783844 816485488 820507584 831645696 840166656 856640512 860860416 861347328 862253056 867515831 883623552 900949504 910180544 915181536 927080448 933126272 950452224 957258848 960190464 979017728 989054976 991446664 1004337152 1004905216 1009855488 1029656576 1040206336 1050870912 1054326784 1067711792 1094010112 1102553088 1108860928 1120222208 1130348544 1147813888 1148463104 1159581696 1178164736 1200995328 1220242048 1224728232 1280253952 1284960768 1293379584 1318739968 1346473984 1351424256 1365270816 1399689408 1401161216 1417887744 1435888272 1468526592 1478148096 1487169996 1506505728 1507357824 1544484864 1546108928 1560309504 1581490176 1601327104 1601567688 1632970976 1641015168 1663291392 1680333312 1713281024 1721720832 1722694656 1724506112 1735031662 1767247104 1801899008 1820361088 1830363072 1854160896 1866252544 1914517696 1920380928 1958035456 1978109952 1982893328 2008674304 2009810432 2019710976 2059313152 2080412672 2101741824 2135423584 2188020224 2205106176 2217721856 2240444416 2296926208 2319163392 2356329472 2401990656 2440484096 2449456464 2560507904 2569921536 2586759168 2602547493 2637479936 2692947968 2702848512 2730541632 2799378816 2802322432 2871776544 2937053184 2974339992 3013011456 3014715648 3088969728 3120619008 3162980352 3202654208 3203135376 3265941952 3282030336 3326582784 3360666624 3426562048 3443441664 3445389312 3449012224 3470063324 3534494208 3603798016 3640722176 3660726144 3732505088 3829035392 3840761856 3956219904 3965786656 4017348608 4019620864 4039421952 4118626304 4160825344 4203483648 4270847168 4376040448 4480888832 4593852416 4638326784 4712658944 4803981312 4880968192 4898912928 5139843072 5173518336 5205094986 5385895936 5405697024 5461083264 5598757632 5604644864 5743553088 5874106368 5948679984 6026022912 6029431296 6177939456 6241238016 6405308416 6406270752 6531883904 6564060672 6653165568 6721333248 6853124096 6890778624 6940126648 7068988416 7207596032 7281444352 7321452288 7465010176 7658070784 7681523712 7912439808 7931573312 8034697216 8039241728 8078843904 8321650688 8406967296 8541694336 8752080896 8961777664 9187704832 9425317888 9607962624 9761936384 9797825856 10279686144 10347036672 10410189972 10811394048 10922166528 11197515264 11209289728 11487106176 11897359968 12052045824 12058862592 12355878912 12482476032 12812541504 13063767808 13128121344 13442666496 13706248192 13781557248 13880253296 14137976832 14415192064 14562888704 14642904576 14930020352 15316141568 15863146624 16078483456 16157687808 16643301376 16813934592 17083388672 17504161792 17923555328 18850635776 19215925248 19523872768 19595651712 20559372288 20820379944 21622788096 21844333056 22395030528 22418579456 22974212352 23794719936 24104091648 24117725184 24964952064 25625083008 26127535616 26256242688 26885332992 27563114496 27760506592 28275953664 28830384128 29125777408 29285809152 29860040704 30632283136 31726293248 32156966912 33286602752 33627869184 34166777344 35008323584 37701271552 39047745536 39191303424 41118744576 41640759888 43245576192 43688666112 44790061056 44837158912 45948424704 47589439872 48235450368 49929904128 51250166016 52255071232 52512485376 53770665984 55521013184 56551907328 58251554816 58571618304 59720081408 61264566272 63452586496 64313933824 67255738368 68333554688 70016647168 78095491072 78382606848 83281519776 86491152384 87377332224 89580122112 91896849408 95178879744 96470900736 99859808256 102500332032 104510142464 105024970752 111042026368 113103814656 116503109632 117143236608 119440162816 122529132544 126905172992 134511476736 136667109376 156190982144 156765213696 166563039552 174754664448 179160244224 183793698816 190357759488 192941801472 205000664064 209020284928 210049941504 222084052736 233006219264 234286473216 245058265088 253810345984 273334218752 313530427392 333126079104 349509328896 358320488448 367587397632 380715518976 410001328128 418040569856 444168105472 468572946432 490116530176 507620691968 546668437504 627060854784 666252158208 699018657792 735174795264 761431037952 820002656256 836081139712 888336210944 1015241383936 1093336875008 1254121709568 1332504316416 1470349590528 1522862075904 1640005312512 1776672421888 2030482767872 2508243419136 2665008632832 3045724151808 3280010625024 3553344843776 5330017265664 6091448303616 7106689687552 10660034531328 14213379375104 21320069062656 42640138125312
- Sum of all divisors σ(n): 156288586890240
- Sum of proper divisors (its aliquot sum) s(n): 113648448764928
- 42640138125312 is an abundant number, because the sum of its proper divisors (113648448764928) is greater than itself. Its abundance is 71008310639616
Bases of 42640138125312
- Binary: 10011011000111111011100100100101000000000000002
- Hexadecimal: 0x26C7EE494000
- Base-36: F44LXAY2O
Squares and roots of 42640138125312
- 42640138125312 squared (426401381253122) is 1818181379345685961815097344
- 42640138125312 cubed (426401381253123) is 77527505152170344125025080478566950371328
-
The
square root of 42640138125312 is 6529941.6632395729 -
The
cube root of 42640138125312 is 34935.9749581321
Scales and comparisons
How big is 42640138125312?- 42,640,138,125,312 seconds is equal to 1,355,824 years, 25 weeks, 6 days, 4 hours, 35 minutes, 12 seconds.
-
To count from 1 to 42,640,138,125,312 would take you about three million, three hundred eighty-nine thousand, five hundred sixty-one 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 42640138125312 cubic inches would be around 2911.3 feet tall.
Recreational maths with 42640138125312
- 42640138125312 backwards is 21352183104624
- 42640138125312 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42640138125312's digits is 42
- More coming soon!
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"Number 42640138125312 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 42640138125312 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/42640138125312/
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The information we have on file for 42640138125312 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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