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14076093096 = 23321315038561
BaseRepresentation
bin11010001110000000…
…00010001010101000
31100022222122121200100
431013000002022220
5212311434434341
610244431305400
71005550550202
oct150700021250
940288577610
1014076093096
115a7365109a
12288a07b260
131434301b90
14977643772
15575b643b6
hex3470022a8

14076093096 has 48 divisors (see below), whose sum is σ = 41055274260. Its totient is φ = 4331105280.

The previous prime is 14076093071. The next prime is 14076093131. The reversal of 14076093096 is 69039067041.

14076093096 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 609 + 30 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14069280996 + 6812100 = 118614^2 + 2610^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7518345 + ... + 7520216.

Almost surely, 214076093096 is an apocalyptic number.

It is an amenable number.

14076093096 is an abundant number, since it is smaller than the sum of its proper divisors (26979181164).

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

14076093096 is a wasteful number, since it uses less digits than its factorization.

14076093096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15038586 (or 15038579 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 14076093096 in words is "fourteen billion, seventy-six million, ninety-three thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 15038561 30077122 45115683 60154244 90231366 120308488 135347049 180462732 195501293 270694098 360925464 391002586 541388196 586503879 782005172 1082776392 1173007758 1564010344 1759511637 2346015516 3519023274 4692031032 7038046548 14076093096