413804635352829504

Names of 413804635352829504

• Cardinal: 413804635352829504 can be written as Four hundred thirteen quadrillion, eight hundred four trillion, six hundred thirty-five billion, three hundred fifty-two million, eight hundred twenty-nine thousand, five hundred four.

Scientific notation

• Scientific notation: 4.13804635352829504 × 10¹⁷

Factors of 413804635352829504

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 144346157468

Divisors of 413804635352829504

• Number of divisors d(n): 280
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 79 81 84 96 108 112 126 144 158 162 168 189 192 216 224 237 252 288 316 324 336 378 432 448 474 504 553 567 576 632 648 672 711 756 864 948 1008 1106 1134 1264 1296 1344 1422 1512 1659 1728 1896 2016 2133 2212 2268 2528 2592 2844 3024 3318 3792 4032 4266 4424 4536 4977 5056 5184 5688 6048 6399 6636 7584 8532 8848 9072 9954 11376 12096 12798 13272 14931 15168 17064 17696 18144 19908 22752 25596 26544 29862 34128 35392 36288 39816 44793 45504 51192 53088 59724 68256 79632 89586 102384 106176 119448 136512 159264 179172 204768 238896 318528 358344 409536 477792 716688 955584 1433376 2866752 144346157377 288692314754 433038472131 577384629508 866076944262 1010423101639 1154769259016 1299115416393 1732153888524 2020846203278 2309538518032 2598230832786 3031269304917 3464307777048 3897346249179 4041692406556 4619077036064 5196461665572 6062538609834 6928615554096 7794692498358 8083384813112 9093807914751 9238154072128 10392923331144 11403346432783 11692038747537 12125077219668 13857231108192 15589384996716 16166769626224 18187615829502 20785846662288 22806692865566 23384077495074 24250154439336 27281423744253 27714462216384 31178769993432 32333539252448 34210039298349 36375231659004 41571693324576 45613385731132 46768154990148 48500308878672 54562847488506 62357539986864 64667078504896 68420078596698 72750463318008 79823425029481 81844271232759 83143386649152 91226771462264 93536309980296 97000617757344 102630117895047 109125694977012 124715079973728 136840157193396 145500926636016 159646850058962 163688542465518 182453542924528 187072619960592 194001235514688 205260235790094 218251389954024 239470275088443 249430159947456 273680314386792 291001853272032 307890353685141 319293700117924 327377084931036 364907085849056 374145239921184 410520471580188 436502779908048 478940550176886 547360628773584 582003706544064 615780707370282 638587400235848 654754169862072 718410825265329 729814171698112 748290479842368 821040943160376 873005559816096 923671061055423 957881100353772 1094721257547168 1231561414740564 1277174800471696 1309508339724144 1436821650530658 1642081886320752 1746011119632192 1847342122110846 1915762200707544 2155232475795987 2189442515094336 2463122829481128 2554349600943392 2619016679448288 2873643301061316 3284163772641504 3694684244221692 3831524401415088 4310464951591974 4926245658962256 5108699201886784 5238033358896576 5747286602122632 6465697427387961 6568327545283008 7389368488443384 7663048802830176 8620929903183948 9852491317924512 11494573204245264 12931394854775922 14778736976886768 15326097605660352 17241859806367896 19704982635849024 22989146408490528 25862789709551844 29557473953773536 34483719612735792 45978292816981056 51725579419103688 59114947907547072 68967439225471584 103451158838207376 137934878450943168 206902317676414752 413804635352829504
• Sum of all divisors σ(n): 1419627136273744640
• Sum of proper divisors (its aliquot sum) s(n): 1005822500920915136
• 413804635352829504 is an abundant number, because the sum of its proper divisors (1005822500920915136) is greater than itself. Its abundance is 592017865568085632

Bases of 413804635352829504

• Binary: 10110111110001000010001111110011000100111011000111001000000₂
• Hexadecimal: 0x5BE211F989D8E40
• Base-36: 356HI14Q0400

Squares and roots of 413804635352829504

• 413804635352829504 squared (413804635352829504²) is 171234276239488193364390738892886016
• 413804635352829504 cubed (413804635352829504³) is 70857537239187089195338736183565077613254642153816064
• The square root of 413804635352829504 is 643276484.3773084047
• The cube root of 413804635352829504 is 745186.7377803617

Scales and comparisons

• 413,804,635,352,829,504 seconds is equal to 13,157,707,422 years, 22 weeks, 6 days, 20 hours, 38 minutes, 24 seconds.
• To count from 1 to 413,804,635,352,829,504 would take you about thirty-nine billion, four hundred seventy-three million, one hundred twenty-two thousand, two hundred sixty-seven 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 413804635352829504 cubic inches would be around 62098.9 feet tall.

Recreational maths with 413804635352829504

• 413804635352829504 backwards is 405928253536408314
• 413804635352829504 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 413804635352829504's digits is 72
• More coming soon!