Search a number
-
+
400125567231 = 33131139958881
BaseRepresentation
bin1011101001010010101…
…01111010000011111111
31102020210102211211212000
411310221111322003333
523023424121122411
6503452023313343
740623325130145
oct5645125720377
91366712754760
10400125567231
111447684a6975
12656692ab853
132b968664290
141551ab2b595
15a61c94d956
hex5d2957a0ff

400125567231 has 16 divisors (see below), whose sum is σ = 638376973920. Its totient is φ = 246231118080.

The previous prime is 400125567223. The next prime is 400125567251. The reversal of 400125567231 is 132765521004.

400125567231 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 2 + 556 + 72 + 31 = 666.

It is not a de Polignac number, because 400125567231 - 23 = 400125567223 is a prime.

It is a super-2 number, since 2×4001255672312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400125567251) 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 15 ways as a sum of consecutive naturals, for example, 569979090 + ... + 569979791.

It is an arithmetic number, because the mean of its divisors is an integer number (39898560870).

Almost surely, 2400125567231 is an apocalyptic number.

400125567231 is a deficient number, since it is larger than the sum of its proper divisors (238251406689).

400125567231 is a wasteful number, since it uses less digits than its factorization.

400125567231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139958903 (or 1139958897 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 400125567231 in words is "four hundred billion, one hundred twenty-five million, five hundred sixty-seven thousand, two hundred thirty-one".

Divisors: 1 3 9 13 27 39 117 351 1139958881 3419876643 10259629929 14819465453 30778889787 44458396359 133375189077 400125567231