40807648884053478

Names of 40807648884053478

• Cardinal: 40807648884053478 can be written as Forty quadrillion, eight hundred seven trillion, six hundred forty-eight billion, eight hundred eighty-four million, fifty-three thousand, four hundred seventy-eight.

Scientific notation

• Scientific notation: 4.0807648884053478 × 10¹⁶

Factors of 40807648884053478

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 853

Divisors of 40807648884053478

• Number of divisors d(n): 256
• Complete list of divisors:
  1 2 3 6 7 14 21 31 41 42 62 82 93 123 186 217 246 287 434 574 651 769 861 1271 1302 1538 1681 1722 2307 2542 3362 3813 4614 5043 5383 7626 8897 10086 10766 11767 16149 17794 23534 23839 26691 31529 32298 35301 47678 52111 53382 63058 68921 70602 71517 94587 104222 137842 143034 156333 166873 189174 206763 220703 312666 333746 364777 413526 441406 482447 500619 591361 662109 729554 964894 977399 1001238 1094331 1182722 1292689 1324218 1447341 1774083 1954798 2136551 2188662 2585378 2894682 2932197 3548166 3878067 4139527 4273102 5864394 6409653 6841793 7756134 8279054 9048823 12418581 12819306 13683586 14955857 18097646 18332191 20525379 24245801 24837162 27146469 29911714 36664382 40073359 41050758 44867571 48491602 53000249 54292938 54996573 72737403 80146718 89735142 106000498 109993146 120220077 128325337 145474806 159000747 169720607 240440154 256650674 280513513 318001494 339441214 371001743 384976011 454756609 509161821 561027026 742003486 751619831 769952022 841540539 909513218 994077841 1018323642 1113005229 1364269827 1503239662 1643007719 1683081078 1988155682 2226010458 2254859493 2728539654 2982233523 3183296263 3286015438 4509718986 4929023157 5261338817 5964467046 6366592526 6958544887 9549888789 9858046314 10522677634 11501054033 13917089774 14097454879 15784016451 18645020969 19099777578 20875634661 23002108066 28194909758 30816413071 31568032902 34503162099 37290041938 40757191481 41751269322 42292364637 55935062907 61632826142 69006324198 81514382962 84584729274 92449239213 98682184153 111870125814 122271574443 130515146783 184898478426 197364368306 215714891497 244543148886 261030293566 285300340367 296046552459 391545440349 431429782994 570600680734 577995650039 592093104918 647144674491 764445859729 783090880698 855901021101 1155991300078 1263472935911 1294289348982 1528891719458 1711802042202 1733986950117 2293337579187 2526945871822 3467973900234 3790418807733 4045969550273 4586675158374 5351121018103 7580837615466 8091939100546 8844310551377 10702242036206 12137908650819 16053363054309 17688621102754 23697821651599 24275817301638 26532931654131 31342280248889 32106726108618 47395643303198 53065863308262 62684560497778 71093464954797 94026840746667 142186929909594 165884751561193 188053681493334 219395961742223 331769503122386 438791923484446 497654254683579 658187885226669 971610687715559 995308509367158 1316375770453338 1943221375431118 2914832063146677 5829664126293354 6801274814008913 13602549628017826 20403824442026739 40807648884053478
• Sum of all divisors σ(n): 98819040425656320
• Sum of proper divisors (its aliquot sum) s(n): 58011391541602842
• 40807648884053478 is an abundant number, because the sum of its proper divisors (58011391541602842) is greater than itself. Its abundance is 17203742657549364

Bases of 40807648884053478

• Binary: 10010000111110100101011100100111110110100101010111100110₂
• Hexadecimal: 0x90FA5727DA55E6
• Base-36: B5T3R3FALEU

Squares and roots of 40807648884053478

• 40807648884053478 squared (40807648884053478²) is 1665264207444191068350039963896484
• 40807648884053478 cubed (40807648884053478³) is 67955517076564143141922976504008979031313112171352
• The square root of 40807648884053478 is 202009031.6893120449
• The cube root of 40807648884053478 is 344281.6359200965

Scales and comparisons

• 40,807,648,884,053,478 seconds is equal to 1,297,557,008 years, 8 weeks, 4 days, 20 hours, 11 minutes, 18 seconds.
• To count from 1 to 40,807,648,884,053,478 would take you about three billion, eight hundred ninety-two million, six hundred seventy-one thousand and twenty-four 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 40807648884053478 cubic inches would be around 28690.1 feet tall.

Recreational maths with 40807648884053478

• 40807648884053478 backwards is 87435048884670804
• The number of decimal digits it has is: 17
• The sum of 40807648884053478's digits is 84
• More coming soon!