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112451077314 = 23233727136833
BaseRepresentation
bin110100010111010011…
…0110100010011000010
3101202020220112121100100
41220232212310103002
53320244433433224
6123354224503230
711060433246312
oct1505646642302
9352226477310
10112451077314
1143765779844
121996377ab16
13a7b125a404
14562a93b442
152dd23acac9
hex1a2e9b44c2

112451077314 has 48 divisors (see below), whose sum is σ = 244492828632. Its totient is φ = 37353222144.

The previous prime is 112451077309. The next prime is 112451077327. The reversal of 112451077314 is 413770154211.

112451077314 is a `hidden beast` number, since 1 + 124 + 510 + 7 + 7 + 3 + 14 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96244514289 + 16206563025 = 310233^2 + 127305^2 .

It is a super-3 number, since 3×1124510773143 (a number of 34 digits) contains 333 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16453642 + ... + 16460474.

Almost surely, 2112451077314 is an apocalyptic number.

112451077314 is an abundant number, since it is smaller than the sum of its proper divisors (132041751318).

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

112451077314 is a wasteful number, since it uses less digits than its factorization.

112451077314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9891 (or 9888 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 112451077314 in words is "one hundred twelve billion, four hundred fifty-one million, seventy-seven thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 337 674 1011 2022 2713 3033 5426 6066 6833 8139 13666 16278 20499 24417 40998 48834 61497 122994 914281 1828562 2302721 2742843 4605442 5485686 6908163 8228529 13816326 16457058 18537929 20724489 37075858 41448978 55613787 111227574 166841361 333682722 6247282073 12494564146 18741846219 37483692438 56225538657 112451077314