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313511115042 = 232411123378283
BaseRepresentation
bin1001000111111101011…
…01111111100100100010
31002222020010110210020100
410203332231333210202
520114032321140132
6400005223123230
731436045336316
oct4437655774442
91088203423210
10313511115042
11110a6093aa84
12509162a3516
1323744077938
1411261717b46
15824d92237c
hex48feb7f922

313511115042 has 48 divisors (see below), whose sum is σ = 696463211808. Its totient is φ = 101863776960.

The previous prime is 313511115011. The next prime is 313511115091. The reversal of 313511115042 is 240511115313.

313511115042 is a `hidden beast` number, since 3 + 135 + 11 + 11 + 504 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 313511114997 and 313511115015.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 639633 + ... + 1017915.

It is an arithmetic number, because the mean of its divisors is an integer number (14509650246).

Almost surely, 2313511115042 is an apocalyptic number.

313511115042 is an abundant number, since it is smaller than the sum of its proper divisors (382952096766).

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

313511115042 is a wasteful number, since it uses less digits than its factorization.

313511115042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379455 (or 379452 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 313511115042 in words is "three hundred thirteen billion, five hundred eleven million, one hundred fifteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 41 82 123 246 369 738 1123 2246 3369 6738 10107 20214 46043 92086 138129 276258 378283 414387 756566 828774 1134849 2269698 3404547 6809094 15509603 31019206 46528809 93057618 139586427 279172854 424811809 849623618 1274435427 2548870854 3823306281 7646612562 17417284169 34834568338 52251852507 104503705014 156755557521 313511115042