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421195808016 = 2432540832
BaseRepresentation
bin1100010000100010011…
…10011111110100010000
31111021011212012222110100
412020101032133310100
523400102111324031
6521254503532400
742300424203444
oct6102116376420
91437155188410
10421195808016
111526a0064705
126976975a100
13309459a0389
1416559206824
15ae52622de6
hex621139fd10

421195808016 has 45 divisors (see below), whose sum is σ = 1178785064119. Its totient is φ = 140396006688.

The previous prime is 421195807969. The next prime is 421195808021. The reversal of 421195808016 is 610808591124.

It is a happy number.

The square root of 421195808016 is 648996.

It is a perfect power (a square), and thus also a powerful number.

421195808016 is a `hidden beast` number, since 42 + 1 + 19 + 580 + 8 + 0 + 16 = 666.

It is a super-2 number, since 2×4211958080162 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7760911 + ... + 7814993.

Almost surely, 2421195808016 is an apocalyptic number.

421195808016 is the 648996-th square number.

It is an amenable number.

421195808016 is an abundant number, since it is smaller than the sum of its proper divisors (757589256103).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

421195808016 is an frugal number, since it uses more digits than its factorization.

421195808016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108180 (or 54088 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 421195808016 in words is "four hundred twenty-one billion, one hundred ninety-five million, eight hundred eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 54083 108166 162249 216332 324498 432664 486747 648996 865328 973494 1297992 1946988 2595984 3893976 7787952 2924970889 5849941778 8774912667 11699883556 17549825334 23399767112 26324738001 35099650668 46799534224 52649476002 70199301336 105298952004 140398602672 210597904008 421195808016