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231456434337 = 3383103282657
BaseRepresentation
bin1101011110001111100…
…0001110100010100001
3211010102121010010012000
43113203320032202201
512243010321344322
6254155110354213
722502464142052
oct3274370164241
9733377103160
10231456434337
118a184139977
1238a3635b969
1318a98361a2b
14b2b9b2c729
156049d8e3ac
hex35e3e0e8a1

231456434337 has 16 divisors (see below), whose sum is σ = 347029730880. Its totient is φ = 152445200256.

The previous prime is 231456434311. The next prime is 231456434387. The reversal of 231456434337 is 733434654132.

231456434337 is a `hidden beast` number, since 2 + 3 + 14 + 564 + 3 + 43 + 37 = 666.

231456434337 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 231456434337 - 226 = 231389325473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 231456434292 and 231456434301.

It is not an unprimeable number, because it can be changed into a prime (231456434387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51639088 + ... + 51643569.

It is an arithmetic number, because the mean of its divisors is an integer number (21689358180).

Almost surely, 2231456434337 is an apocalyptic number.

231456434337 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

231456434337 is a deficient number, since it is larger than the sum of its proper divisors (115573296543).

231456434337 is a wasteful number, since it uses less digits than its factorization.

231456434337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103282749 (or 103282743 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 45.

The spelling of 231456434337 in words is "two hundred thirty-one billion, four hundred fifty-six million, four hundred thirty-four thousand, three hundred thirty-seven".

Divisors: 1 3 9 27 83 249 747 2241 103282657 309847971 929543913 2788631739 8572460531 25717381593 77152144779 231456434337