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231314400124002 = 232136221158900993
BaseRepresentation
bin110100100110000100010100…
…101001101001110001100010
31010100000102220021001100210200
4310212010110221221301202
5220304323342412432002
62135544211325010030
766502625320513266
oct6446042451516142
91110012807040720
10231314400124002
1167781982574918
1221b3a3446b3916
139c0bb14c8a2a0
144119968c2a0a6
151bb20420abb1c
hexd26114a69c62

231314400124002 has 48 divisors (see below), whose sum is σ = 539820363628728. Its totient is φ = 71162220257280.

The previous prime is 231314400123941. The next prime is 231314400124019. The reversal of 231314400124002 is 200421004413132.

231314400124002 is a `hidden beast` number, since 2 + 3 + 1 + 3 + 14 + 400 + 1 + 240 + 0 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73565598007521 + 157748802116481 = 8577039^2 + 12559809^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77994783 + ... + 80906210.

Almost surely, 2231314400124002 is an apocalyptic number.

231314400124002 is an abundant number, since it is smaller than the sum of its proper divisors (308505963504726).

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

231314400124002 is a wasteful number, since it uses less digits than its factorization.

231314400124002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158907235 (or 158907232 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 231314400124002 its reverse (200421004413132), we get a palindrome (431735404537134).

The spelling of 231314400124002 in words is "two hundred thirty-one trillion, three hundred fourteen billion, four hundred million, one hundred twenty-four thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 6221 12442 18663 37326 55989 80873 111978 161746 242619 485238 727857 1455714 158900993 317801986 476702979 953405958 1430108937 2065712909 2860217874 4131425818 6197138727 12394277454 18591416181 37182832362 988523077453 1977046154906 2965569232359 5931138464718 8896707697077 12850800006889 17793415394154 25701600013778 38552400020667 77104800041334 115657200062001 231314400124002