42131605880832

Names of 42131605880832

• Cardinal: 42131605880832 can be written as Forty-two trillion, one hundred thirty-one billion, six hundred five million, eight hundred eighty thousand, eight hundred thirty-two.

Scientific notation

• Scientific notation: 4.2131605880832 × 10¹³

Factors of 42131605880832

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 1075

Divisors of 42131605880832

• Number of divisors d(n): 816
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 17 24 26 31 32 34 39 48 51 52 62 64 68 78 93 96 102 104 124 128 136 156 186 192 204 208 221 248 256 272 312 372 384 403 408 416 442 496 512 527 544 624 663 744 768 806 816 832 884 961 992 1009 1024 1054 1088 1209 1248 1326 1488 1536 1581 1612 1632 1664 1768 1922 1984 2018 2048 2108 2176 2418 2496 2652 2883 2976 3027 3072 3162 3224 3264 3328 3536 3844 3968 4036 4096 4216 4352 4836 4992 5304 5766 5952 6054 6144 6324 6448 6528 6656 6851 7072 7688 7936 8072 8192 8432 8704 9672 9984 10608 11532 11904 12108 12288 12493 12648 12896 13056 13117 13312 13702 14144 15376 15872 16144 16337 16384 16864 17153 17408 19344 19968 20553 21216 23064 23808 24216 24576 24986 25296 25792 26112 26234 26624 27404 28288 30752 31279 31744 32288 32674 32768 33728 34306 34816 37479 38688 39351 39936 41106 42432 46128 47616 48432 49011 49152 49972 50592 51459 51584 52224 52468 53248 54808 56576 61504 62558 63488 64576 65348 65536 67456 68612 69632 74958 77376 78702 79872 82212 84864 92256 93837 95232 96864 98022 98304 99944 101184 102918 103168 104448 104936 106496 109616 113152 123008 125116 126976 129152 130696 134912 137224 139264 149916 154752 157404 159744 164424 169728 184512 187674 190464 193728 196044 196608 199888 202368 205836 206336 208896 209872 212381 212992 219232 222989 226304 246016 250232 253952 258304 261392 269824 274448 278528 299832 309504 314808 319488 328848 339456 369024 375348 380928 387456 392088 399776 404736 406627 411672 412672 417792 419744 424762 425984 438464 445978 452608 492032 500464 507904 516608 522784 531743 539648 548896 557056 599664 619008 629616 637143 638976 657696 668967 678912 738048 750696 761856 774912 784176 799552 809472 813254 823344 825344 835584 839488 849524 851968 876928 891956 905216 969649 984064 1000928 1015808 1033216 1045568 1063486 1079296 1097792 1114112 1199328 1219881 1238016 1259232 1274286 1277952 1315392 1337934 1357824 1476096 1501392 1523712 1549824 1568352 1595229 1599104 1618944 1626508 1646688 1650688 1671168 1678976 1699048 1753856 1783912 1810432 1939298 1968128 2001856 2031616 2066432 2091136 2126972 2158592 2195584 2398656 2439762 2476032 2518464 2548572 2555904 2630784 2675868 2715648 2908947 2952192 3002784 3047424 3099648 3136704 3190458 3198208 3237888 3253016 3293376 3301376 3342336 3357952 3398096 3507712 3567824 3620864 3878596 3936256 4003712 4132864 4182272 4253944 4317184 4391168 4797312 4879524 4952064 5036928 5097144 5261568 5351736 5431296 5817894 5904384 6005568 6094848 6199296 6273408 6380916 6396416 6475776 6506032 6586752 6602752 6715904 6796192 6912659 7015424 7135648 7241728 7757192 7872512 8007424 8265728 8364544 8507888 8634368 8782336 9594624 9759048 9904128 10073856 10194288 10523136 10703472 10862592 11635788 11808768 12011136 12398592 12546816 12605437 12761832 12792832 12951552 13012064 13173504 13205504 13431808 13592384 13825318 14030848 14271296 14483456 15514384 15745024 16014848 16484033 16531456 16729088 17015776 17268736 17564672 19189248 19518096 19808256 20147712 20388576 20737977 21046272 21406944 21725184 23271576 23617536 24022272 24797184 25093632 25210874 25523664 25585664 25903104 26024128 26347008 26411008 26863616 27184768 27650636 28061696 28542592 31028768 31490048 32029696 32968066 33062912 33458176 34031552 34537472 35129344 37816311 38378496 39036192 39616512 40295424 40777152 41475954 42092544 42813888 43450368 46543152 47235072 48044544 49452099 49594368 50187264 50421748 51047328 51171328 51806208 52048256 52694016 53727232 54369536 55301272 56123392 57085184 62057536 62980096 64059392 65936132 66125824 66916352 68063104 70258688 75632622 76756992 78072384 79233024 80590848 81554304 82951908 84185088 85627776 93086304 94470144 96089088 98904198 99188736 100374528 100843496 102094656 102342656 103612416 104096512 105388032 107454464 108739072 110602544 112246784 114170368 124115072 128118784 131872264 133832704 136126208 140517376 151265244 153513984 156144768 161181696 163108608 165903816 168370176 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1686208512 1714339432 1739825152 1769640704 1826725888 1985841152 2049900544 2109956224 2178019328 2420243904 2456223744 2498316288 2571509148 2578907136 2609737728 2654461056 2740088832 2978761728 3074850816 3164934336 3211984896 3226991872 3267028992 3331088384 3372417024 3428678864 3479650304 3539281408 3653451776 3971682304 4219912448 4356038656 4840487808 4996632576 5143018296 5219475456 5308922112 5480177664 5957523456 6149701632 6329868672 6453983744 6534057984 6662176768 6857357728 6959300608 7078562816 7306903552 7943364608 8439824896 8712077312 9680975616 9993265152 10286036592 10438950912 10617844224 10960355328 11915046912 12659737344 12907967488 13068115968 13324353536 13714715456 13918601216 14157125632 14613807104 15886729216 16879649792 17424154624 19361951232 19986530304 20572073184 20877901824 21235688448 21920710656 23830093824 25319474688 25815934976 26136231936 26648707072 27429430912 28314251264 31773458432 33759299584 34848309248 38723902464 39973060608 41144146368 41755803648 42471376896 43841421312 47660187648 50638949376 51631869952 52272463872 54858861824 56628502528 63546916864 67518599168 77447804928 79946121216 82288292736 84942753792 95320375296 101277898752 103263739904 104544927744 109717723648 113257005056 135037198336 154895609856 164576585472 169885507584 190640750592 202555797504 206527479808 219435447296 226514010112 270074396672 309791219712 329153170944 339771015168 405111595008 413054959616 438870894592 453028020224 540148793344 619582439424 658306341888 679542030336 810223190016 826109919232 877741789184 1080297586688 1239164878848 1316612683776 1359084060672 1620446380032 1755483578368 2478329757696 2633225367552 3240892760064 3510967156736 5266450735104 7021934313472 10532901470208 14043868626944 21065802940416 42131605880832
• Sum of all divisors σ(n): 132506678334240
• Sum of proper divisors (its aliquot sum) s(n): 90375072453408
• 42131605880832 is an abundant number, because the sum of its proper divisors (90375072453408) is greater than itself. Its abundance is 48243466572576

Bases of 42131605880832

• Binary: 1001100101000110000111011001110000000000000000₂
• Hexadecimal: 0x265187670000
• Base-36: EXMZQC2YO

Squares and roots of 42131605880832

• 42131605880832 squared (42131605880832²) is 1775072214097757566585012224
• 42131605880832 cubed (42131605880832³) is 74786642934382561669276926831949007290368
• The square root of 42131605880832 is 6490886.3709690681
• The cube root of 42131605880832 is 34796.5353821785

Scales and comparisons

• 42,131,605,880,832 seconds is equal to 1,339,654 years, 38 weeks, 5 days, 7 hours, 47 minutes, 12 seconds.
• To count from 1 to 42,131,605,880,832 would take you about three million, three hundred forty-nine thousand, one hundred thirty-six 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 42131605880832 cubic inches would be around 2899.7 feet tall.

Recreational maths with 42131605880832

• 42131605880832 backwards is 23808850613124
• 42131605880832 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 42131605880832's digits is 51
• More coming soon!