540468336768352512

Names of 540468336768352512

• Cardinal: 540468336768352512 can be written as Five hundred forty quadrillion, four hundred sixty-eight trillion, three hundred thirty-six billion, seven hundred sixty-eight million, three hundred fifty-two thousand, five hundred twelve.

Scientific notation

• Scientific notation: 5.40468336768352512 × 10¹⁷

Factors of 540468336768352512

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 89045

Divisors of 540468336768352512

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 17 19 24 26 32 34 38 39 48 51 52 57 64 68 76 78 96 102 104 114 128 136 137 152 156 192 204 208 221 228 247 256 272 274 304 312 323 384 408 411 416 442 456 494 544 548 608 624 646 663 741 768 816 822 832 884 912 969 988 1088 1096 1216 1248 1292 1326 1482 1632 1644 1664 1768 1781 1824 1938 1976 2176 2192 2329 2432 2496 2584 2603 2652 2964 3264 3288 3328 3536 3562 3648 3876 3952 4199 4352 4384 4658 4864 4992 5168 5206 5304 5343 5928 6528 6576 6987 7072 7124 7296 7752 7809 7904 8398 8768 9316 9984 10336 10412 10608 10686 11856 12597 13056 13152 13974 14144 14248 14592 15504 15618 15808 16796 17033 17536 18632 20672 20824 21216 21372 23712 25194 26304 27948 28288 28496 30277 31008 31236 31616 33592 33839 34066 35072 37264 41344 41648 42432 42744 44251 47424 50388 51099 52608 55896 56576 56992 60554 62016 62472 63232 67184 67678 68132 71821 74528 82688 83296 84864 85488 88502 90831 94848 100776 101517 102198 105216 111792 113984 121108 124032 124944 132753 134368 135356 136264 143642 149056 166592 169728 170976 177004 181662 189696 201552 203034 204396 215463 221429 223584 227968 242216 248064 249888 265506 268736 270712 272528 287284 289561 298112 323627 333184 341952 354008 363324 403104 406068 408792 430926 442858 447168 455936 484432 499776 531012 537472 541424 545056 574568 575263 579122 596224 647254 664287 666368 683904 708016 726648 806208 812136 817584 861852 868683 885716 894336 933673 968864 970881 999552 1062024 1074944 1082848 1090112 1149136 1150526 1158244 1220957 1294508 1328574 1364599 1367808 1416032 1453296 1612416 1624272 1635168 1723704 1725789 1737366 1771432 1788672 1867346 1937728 1941762 1999104 2124048 2165696 2180224 2298272 2301052 2316488 2333521 2441914 2589016 2657148 2729198 2801019 2832064 2906592 3224832 3248544 3270336 3447408 3451578 3474732 3542864 3662871 3734692 3764293 3875456 3883524 4093797 4207151 4248096 4331392 4360448 4596544 4602104 4632976 4667042 4883828 5178032 5314296 5458396 5501659 5602038 5664128 5813184 6497088 6540672 6894816 6903156 6949464 7000563 7085728 7325742 7469384 7528586 7750912 7767048 8187594 8414302 8496192 8662784 9193088 9204208 9265952 9334084 9767656 9839477 10356064 10628592 10916792 11003318 11204076 11292879 11328256 11626368 12621453 12994176 13081344 13789632 13806312 13898928 14001126 14171456 14651484 14938768 15057172 15534096 15872441 16375188 16504977 16828604 16992384 17739787 18386176 18408416 18531904 18668168 19535312 19678954 20712128 21257184 21833584 22006636 22408152 22585758 23198183 23252736 25242906 25988352 27579264 27612624 27797856 28002252 28342912 29302968 29518431 29877536 30114344 30335773 31068192 31744882 32750376 33009954 33657208 33984768 35479574 36816832 37063808 37336336 39070624 39357908 39669857 41424256 42514368 43667168 44013272 44336899 44816304 45171516 46396366 47617323 50485812 53219361 55158528 55225248 55595712 56004504 56685824 58605936 59036862 59755072 60228688 60671546 62136384 63489764 65500752 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627101099456 661055422768 665489938592 670383246964 743782872544 763356106032 790269302078 811065862659 813606674176 835017376128 906485375913 933254714496 939515207424 940651649184 991583134152 998234907888 1005574870446 1017808141376 1081421150212 1115674308816 1185403953117 1208647167884 1220410011264 1254202198912 1322110845536 1330979877184 1340766493928 1487565745088 1526712212064 1580538604156 1622131725318 1670034752256 1812970751826 1866509428992 1881303298368 1983166268304 1996469815776 2011149740892 2035616282752 2162842300424 2178745552633 2231348617632 2370807906234 2417294335768 2440820022528 2508404397824 2644221691072 2661959754368 2681532987856 2849128799597 2975131490176 3053424424128 3161077208312 3184320423079 3244263450636 3625941503652 3762606596736 3966332536608 3992939631552 4022299481784 4071232565504 4325684600848 4357491105266 4462697235264 4741615812468 4834588671536 5136750463507 5288443382144 5323919508736 5363065975712 5698257599194 5950262980352 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836638292211072 866135155077488 888928185474264 986256088993344 993507972000648 1094065459045248 1185237580632352 1222779042462336 1299202732616232 1315008118657792 1324677296000864 1407469627000918 1673276584422144 1732270310154976 1777856370948528 1972512177986688 1987015944001296 2111204440501377 2188130918090496 2370475161264704 2445558084924672 2598405465232464 2649354592001728 2814939254001836 3464540620309952 3555712741897056 3945024355973376 3974031888002592 4222408881002754 4740950322529408 5196810930464928 5298709184003456 5629878508003672 6929081240619904 7111425483794112 7948063776005184 8444817762005508 9481900645058816 10393621860929856 10597418368006912 11259757016007344 13858162481239808 14222850967588224 15896127552010368 16889635524011016 20787243721859712 22519514032014688 28445701935176448 31792255104020736 33779271048022032 41574487443719424 45039028064029376 67558542096044064 90078056128058752 135117084192088128 180156112256117504 270234168384176256 540468336768352512
• Sum of all divisors σ(n): 1739260571752650240
• Sum of proper divisors (its aliquot sum) s(n): 1198792234984297728
• 540468336768352512 is an abundant number, because the sum of its proper divisors (1198792234984297728) is greater than itself. Its abundance is 658323898215945216

Bases of 540468336768352512

• Binary: 11110000000001000010001011010111001011011001000000100000000₂
• Hexadecimal: 0x7802116B96C8100
• Base-36: 43TO1A9CY5MO

Squares and roots of 540468336768352512

• 540468336768352512 squared (540468336768352512²) is 292106023049149303834485646696710144
• 540468336768352512 cubed (540468336768352512³) is 157874056437391767039126643950333107069362125278281728
• The square root of 540468336768352512 is 735165516.5800096965
• The cube root of 540468336768352512 is 814560.6357625233

Scales and comparisons

• 540,468,336,768,352,512 seconds is equal to 17,185,221,330 years, 46 weeks, 6 days, 12 hours, 35 minutes, 12 seconds.
• To count from 1 to 540,468,336,768,352,512 would take you about fifty-one billion, five hundred fifty-five million, six hundred sixty-three thousand, nine hundred ninety-two 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 540468336768352512 cubic inches would be around 67880.1 feet tall.

Recreational maths with 540468336768352512

• 540468336768352512 backwards is 215253867633864045
• 540468336768352512 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 540468336768352512's digits is 78
• More coming soon!