40354144807017234468

Names of 40354144807017234468

• Cardinal: 40354144807017234468 can be written as Forty quintillion, three hundred fifty-four quadrillion, one hundred forty-four trillion, eight hundred seven billion, seventeen million, two hundred thirty-four thousand, four hundred sixty-eight.

Scientific notation

• Scientific notation: 4.0354144807017234468 × 10¹⁹

Factors of 40354144807017234468

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 460911

Divisors of 40354144807017234468

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 83 114 121 132 166 209 228 242 249 332 363 418 484 498 627 726 836 913 996 1254 1452 1577 1826 2299 2508 2739 3154 3652 4598 4731 5478 6308 6889 6897 9196 9462 10043 10956 13778 13794 17347 18924 20086 20667 27556 27588 30129 34694 40172 41334 52041 60258 69388 75779 82668 104082 120516 130891 151558 190817 208164 227337 261782 303116 381634 392673 454674 460793 523564 572451 763268 785346 833569 909348 921586 1144902 1382379 1439801 1570692 1667138 1843172 2289804 2500707 2764758 2879602 3334276 4319403 5001414 5068723 5529516 5759204 8638806 8755067 10002828 10137446 15206169 15837811 17277612 17510134 20274892 26265201 30412338 31675622 35020268 38245819 47513433 52530402 55755953 60824676 63351244 76491638 95026866 96305737 105060804 111511906 114737457 152983276 167267859 190053732 192611474 223023812 229474914 288917211 334535718 385222948 420704009 458949828 577834422 669071436 726670561 841408018 1059363107 1155668844 1262112027 1453341122 1682816036 2118726214 2180011683 2524224054 2906682244 3174402977 3178089321 4237452428 4360023366 4627744099 5048448108 6348805954 6356178642 7993376171 8720046732 9255488198 9523208931 12697611908 12712357284 13883232297 15986752342 18510976396 19046417862 23980128513 27766464594 31973504684 34918432747 38092835724 47960257026 55532929188 60313656563 69836865494 87927137881 95920514052 104755298241 120627313126 139673730988 175854275762 180940969689 209510596482 212330188849 241254626252 263781413643 351708551524 361881939378 384102760217 419021192964 424660377698 527562827286 636990566547 663450222193 723763878756 768205520434 849320755396 1055125654572 1152308280651 1273981133094 1326900444386 1536411040868 1990350666579 2304616561302 2335632077339 2547962266188 2653800888772 3980701333158 4034273588131 4609233122604 4671264154678 7006896232017 7297952444123 7961402666316 8068547176262 9342528309356 12102820764393 14013792464034 14595904888246 16137094352524 17623405674467 21893857332369 24205641528786 25691952850729 28027584928068 29191809776492 35246811348934 43787714664738 44377009469441 48411283057572 51383905701458 52870217023401 70493622697868 77075858552187 87575429329476 88754018938882 102767811402916 105740434046802 133131028408323 154151717104374 177508037877764 193857462419137 211480868093604 266262056816646 308303434208748 334844707814873 387714924838274 488147104163851 532524113633292 581572387257411 669689415629746 775429849676548 976294208327702 1004534123444619 1163144774514822 1339378831259492 1462742670980761 1464441312491553 1952588416655404 2009068246889238 2132432086610507 2326289549029644 2925485341961522 2928882624983106 3683291785963603 4018136493778476 4264864173221014 4388228012942283 5850970683923044 5857765249966212 6397296259831521 7366583571927206 8529728346442028 8776456025884566 11049875357890809 12794592519663042 14733167143854412 16090169380788371 17552912051769132 22099750715781618 25589185039326084 27792110748634459 32180338761576742 40516209645599633 44199501431563236 48270508142365113 55584221497268918 64360677523153484 81032419291199266 83376332245903377 96541016284730226 111168442994537836 121548628936798899 162064838582398532 166752664491806754 176991863188672081 193082032569460452 243097257873597798 305713218234979049 333505328983613508 353983726377344162 486194515747195596 530975589566016243 611426436469958098 707967452754688324 917139654704937147 1061951179132032486 1222852872939916196 1834279309409874294 2123902358264064972 3362845400584769539 3668558618819748588 6725690801169539078 10088536201754308617 13451381602339078156 20177072403508617234 40354144807017234468
• Sum of all divisors σ(n): 110273719054668392720
• Sum of proper divisors (its aliquot sum) s(n): 69919574247651158252
• 40354144807017234468 is an abundant number, because the sum of its proper divisors (69919574247651158252) is greater than itself. Its abundance is 29565429440633923784

Bases of 40354144807017234468

• Binary: 100011000000000110101110001110010110000100111011111100000000100100₂
• Hexadecimal: 0x23006B8E584EFC024
• Base-36: 8ILB2GM9N786C

Squares and roots of 40354144807017234468

• 40354144807017234468 squared (40354144807017234468²) is 1628457003105716031683687512378887243024
• 40354144807017234468 cubed (40354144807017234468³) is 65714989715329379062094327257840360353069590112433505351232
• The square root of 40354144807017234468 is 6352491228.4093107961
• The cube root of 40354144807017234468 is 3430015.2375463757

Scales and comparisons

• 40,354,144,807,017,234,468 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 40,354,144,807,017,234,468 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 40354144807017234468 cubic inches would be around 285834.6 feet tall.

Recreational maths with 40354144807017234468

• 40354144807017234468 backwards is 86443271070844145304
• The number of decimal digits it has is: 20
• The sum of 40354144807017234468's digits is 75
• More coming soon!