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12013444314 = 233401554791
BaseRepresentation
bin10110011000000111…
…01001110011011010
31011000020102012111000
423030003221303122
5144100420204224
65304025445430
7603463406664
oct131403516332
934006365430
1012013444314
115105304583
1223b3340876
131195b91041
1481d71b534
154a4a290c9
hex2cc0e9cda

12013444314 has 32 divisors (see below), whose sum is σ = 26763166080. Its totient is φ = 3994488000.

The previous prime is 12013444301. The next prime is 12013444327. The reversal of 12013444314 is 41344431021.

12013444314 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 344 + 4 + 314 = 666.

12013444314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12013444301) and next prime (12013444327).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 15 ways as a sum of consecutive naturals, for example, 255742 + ... + 299049.

It is an arithmetic number, because the mean of its divisors is an integer number (836348940).

Almost surely, 212013444314 is an apocalyptic number.

12013444314 is an abundant number, since it is smaller than the sum of its proper divisors (14749721766).

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

12013444314 is a wasteful number, since it uses less digits than its factorization.

12013444314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555203 (or 555197 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 12013444314 its reverse (41344431021), we get a palindrome (53357875335).

The spelling of 12013444314 in words is "twelve billion, thirteen million, four hundred forty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 401 802 1203 2406 3609 7218 10827 21654 554791 1109582 1664373 3328746 4993119 9986238 14979357 29958714 222471191 444942382 667413573 1334827146 2002240719 4004481438 6006722157 12013444314