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315141313104 = 24322188481341
BaseRepresentation
bin1001001010111111110…
…00101101001001010000
31010010102201222102120100
410211133320231021100
520130402134004404
6400435100012400
731524331651332
oct4453770551120
91103381872510
10315141313104
11111718067a02
12510b0231100
1323943a24887
141137802d452
1582e6ad8d39
hex495fe2d250

315141313104 has 30 divisors (see below), whose sum is σ = 881957980826. Its totient is φ = 105047104320.

The previous prime is 315141313061. The next prime is 315141313127. The reversal of 315141313104 is 401313141513.

315141313104 is a `hidden beast` number, since 3 + 1 + 514 + 13 + 131 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 301928270400 + 13213042704 = 549480^2 + 114948^2 .

It is a super-2 number, since 2×3151413131042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1094240527 + ... + 1094240814.

Almost surely, 2315141313104 is an apocalyptic number.

It is an amenable number.

315141313104 is an abundant number, since it is smaller than the sum of its proper divisors (566816667722).

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

315141313104 is a wasteful number, since it uses less digits than its factorization.

315141313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188481355 (or 2188481346 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 315141313104 its reverse (401313141513), we get a palindrome (716454454617).

The spelling of 315141313104 in words is "three hundred fifteen billion, one hundred forty-one million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2188481341 4376962682 6565444023 8753925364 13130888046 17507850728 19696332069 26261776092 35015701456 39392664138 52523552184 78785328276 105047104368 157570656552 315141313104