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423158800038976 = 261376
BaseRepresentation
bin110000000110111000101010…
…1111101011011110001000000
32001111021120211100021201011201
41200031301111331123301000
5420431013210302221401
64055552245152350544
7155063133354201031
oct14015612575336100
92044246740251151
10423158800038976
11112916703993041
123b563015b45454
131521691bb1b791
14766cdd0b92a88
1533dc4e8b66b01
hex180dc55f5bc40

423158800038976 has 49 divisors (see below), whose sum is σ = 845880050767249. Its totient is φ = 210035024836864.

The previous prime is 423158800038971. The next prime is 423158800039007. The reversal of 423158800038976 is 679830008851324.

The square root of 423158800038976 is 20570824.

The cubic root of 423158800038976 is 75076.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 105142055054400 + 318016744984576 = 10253880^2 + 17833024^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (423158800038971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 3088750365180 + ... + 3088750365316.

It is a 2-persistent number, because it is pandigital, and so is 2⋅423158800038976 = 846317600077952, but 3⋅423158800038976 = 1269476400116928 is not.

Almost surely, 2423158800038976 is an apocalyptic number.

423158800038976 is the 20570824-th square number.

It is an amenable number.

423158800038976 is a deficient number, since it is larger than the sum of its proper divisors (422721250728273).

423158800038976 is an frugal number, since it uses more digits than its factorization.

423158800038976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 834 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 64.

423158800038976 divided by its sum of digits (64) gives a 6-th power (6611856250609 = 1376).

The spelling of 423158800038976 in words is "four hundred twenty-three trillion, one hundred fifty-eight billion, eight hundred million, thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 137 274 548 1096 2192 4384 8768 18769 37538 75076 150152 300304 600608 1201216 2571353 5142706 10285412 20570824 41141648 82283296 164566592 352275361 704550722 1409101444 2818202888 5636405776 11272811552 22545623104 48261724457 96523448914 193046897828 386093795656 772187591312 1544375182624 3088750365248 6611856250609 13223712501218 26447425002436 52894850004872 105789700009744 211579400019488 423158800038976