46405214137920800

Names of 46405214137920800

• Cardinal: 46405214137920800 can be written as Forty-six quadrillion, four hundred five trillion, two hundred fourteen billion, one hundred thirty-seven million, nine hundred twenty thousand, eight hundred.

Scientific notation

• Scientific notation: 4.64052141379208 × 10¹⁶

Factors of 46405214137920800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 479

Divisors of 46405214137920800

• Number of divisors d(n): 270
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 160 164 200 205 328 400 410 431 656 800 820 862 1025 1312 1640 1681 1724 2050 2155 3280 3362 3448 4100 4310 6560 6724 6896 8200 8405 8620 10775 13448 13792 16400 16810 17240 17671 21550 26896 32800 33620 34480 35342 42025 43100 53792 67240 68960 70684 84050 86200 88355 134480 141368 168100 172400 176710 185761 268960 282736 336200 344800 353420 371522 441775 565472 672400 706840 724511 743044 883550 928805 1344800 1413680 1449022 1486088 1767100 1857610 2827360 2898044 2972176 3534200 3622555 3715220 4644025 5796088 5944352 7068400 7245110 7430440 7616201 9288050 11592176 14136800 14490220 14860880 15232402 18112775 18576100 23184352 28980440 29721760 30464804 36225550 37152200 38081005 57960880 60929608 72451100 74304400 76162010 80062991 115921760 121859216 144902200 148608800 152324020 160125982 190405025 243718432 289804400 304648040 312264241 320251964 380810050 400314955 579608800 609296080 624528482 640503928 761620100 800629910 1218592160 1249056964 1281007856 1523240200 1561321205 1601259820 2001574775 2498113928 2562015712 3046480400 3122642410 3202519640 3282582631 4003149550 4996227856 6092960800 6245284820 6405039280 6565165262 7806606025 8006299100 9992455712 12490569640 12810078560 13130330524 15613212050 16012598200 16412913155 24981139280 26260661048 31226424100 32025196400 32825826310 34507149121 49962278560 52521322096 62452848200 64050392800 65651652620 69014298242 82064565775 105042644192 124905696400 131303305240 134585887871 138028596484 164129131550 172535745605 249811392800 262606610480 269171775742 276057192968 328258263100 345071491210 525213220960 538343551484 552114385936 656516526200 672929439355 690142982420 862678728025 1076687102968 1104228771872 1313033052400 1345858878710 1380285964840 1414793113961 1725357456050 2153374205936 2626066104800 2691717757420 2760571929680 2829586227922 3364647196775 3450714912100 4306748411872 5383435514840 5521143859360 5659172455844 6729294393550 6901429824200 7073965569805 10766871029680 11318344911688 13458588787100 13802859648400 14147931139610 21533742059360 22636689823376 26917177574200 27605719296800 28295862279220 35369827849025 45273379646752 53834355148400 56591724558440 58006517672401 70739655698050 107668710296800 113183449116880 116013035344802 141479311396100 226366898233760 232026070689604 282958622792200 290032588362005 464052141379208 565917245584400 580065176724010 928104282758416 1131834491168800 1160130353448020 1450162941810025 1856208565516832 2320260706896040 2900325883620050 4640521413792080 5800651767240100 9281042827584160 11601303534480200 23202607068960400 46405214137920800
• Sum of all divisors σ(n): 116387252456892795
• Sum of proper divisors (its aliquot sum) s(n): 69982038318971995
• 46405214137920800 is an abundant number, because the sum of its proper divisors (69982038318971995) is greater than itself. Its abundance is 23576824181051195

Bases of 46405214137920800

• Binary: 10100100110111010100101111100000011010101010110100100000₂
• Hexadecimal: 0xA4DD4BE06AAD20
• Base-36: COX9X2MLEZK

Squares and roots of 46405214137920800

• 46405214137920800 squared (46405214137920800²) is 2153443899186284497124547072640000
• 46405214137920800 cubed (46405214137920800³) is 99931025275738663284838698429947976856166912000000
• The square root of 46405214137920800 is 215418694.9591905777
• The cube root of 46405214137920800 is 359353.8154550273

Scales and comparisons

• 46,405,214,137,920,800 seconds is equal to 1,475,542,268 years, 43 weeks, 2 days, 13 hours, 33 minutes, 20 seconds.
• To count from 1 to 46,405,214,137,920,800 would take you about four billion, four hundred twenty-six million, six hundred twenty-six thousand, eight hundred 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 46405214137920800 cubic inches would be around 29946.2 feet tall.

Recreational maths with 46405214137920800

• 46405214137920800 backwards is 00802973141250464
• The number of decimal digits it has is: 17
• The sum of 46405214137920800's digits is 56
• More coming soon!