40408516800296128

Names of 40408516800296128

• Cardinal: 40408516800296128 can be written as Forty quadrillion, four hundred eight trillion, five hundred sixteen billion, eight hundred million, two hundred ninety-six thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 4.0408516800296128 × 10¹⁶

Factors of 40408516800296128

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 348409

Divisors of 40408516800296128

• Number of divisors d(n): 126
• Complete list of divisors:
  1 2 4 8 11 16 22 32 43 44 64 86 88 121 172 176 242 344 352 473 484 688 704 946 968 1376 1892 1936 2752 3784 3872 5203 7568 7744 10406 15136 20812 30272 41624 83248 166496 332992 348353 696706 1393412 2786824 3831883 5573648 7663766 11147296 14979179 15327532 22294592 29958358 30655064 42150713 59916716 61310128 84301426 119833432 122620256 164770969 168602852 239666864 245240512 329541938 337205704 479333728 659083876 674411408 958667456 1318167752 1348822816 1812480659 2636335504 2697645632 3624961318 5272671008 7249922636 10545342016 14499845272 28999690544 57999381088 115998762176 121349812609 242699625218 485399250436 970798500872 1334847938699 1941597001744 2669695877398 3883194003488 5218041942187 5339391754796 7766388006976 10436083884374 10678783509592 14683327325689 20872167768748 21357567019184 29366654651378 41744335537496 42715134038368 57398461364057 58733309302756 83488671074992 85430268076736 114796922728114 117466618605512 166977342149984 229593845456228 234933237211024 333954684299968 459187690912456 469866474422048 631383075004627 918375381824912 939732948844096 1262766150009254 1836750763649824 2525532300018508 3673501527299648 5051064600037016 10102129200074032 20204258400148064 40408516800296128
• Sum of all divisors σ(n): 90187925028345452
• Sum of proper divisors (its aliquot sum) s(n): 49779408228049324
• 40408516800296128 is an abundant number, because the sum of its proper divisors (49779408228049324) is greater than itself. Its abundance is 9370891427753196

Bases of 40408516800296128

• Binary: 10001111100011110101010011111001110010000011010011000000₂
• Hexadecimal: 0x8F8F54F9C834C0
• Base-36: B1VMGCHWRLS

Squares and roots of 40408516800296128

• 40408516800296128 squared (40408516800296128²) is 1632848229999814426525988491792384
• 40408516800296128 cubed (40408516800296128³) is 65980975134281297331811156653697498896148695089152
• The square root of 40408516800296128 is 201018697.6385433853
• The cube root of 40408516800296128 is 343155.5046892531

Scales and comparisons

• 40,408,516,800,296,128 seconds is equal to 1,284,865,842 years, 26 weeks, 2 hours, 15 minutes, 28 seconds.
• To count from 1 to 40,408,516,800,296,128 would take you about three billion, eight hundred fifty-four million, five hundred ninety-seven thousand, five hundred twenty-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 40408516800296128 cubic inches would be around 28596.3 feet tall.

Recreational maths with 40408516800296128

• 40408516800296128 backwards is 82169200861580404
• 40408516800296128 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40408516800296128's digits is 64
• More coming soon!