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14006234628 = 22322417160969
BaseRepresentation
bin11010000101101011…
…00010111000000100
31100011010012102212200
431002311202320010
5212141044002003
610233454114500
71004042013201
oct150265427004
940133172780
1014006234628
115a38177421
12286a7aba30
1314229b28c9
1496c25aca8
1556e9656a3
hex342d62e04

14006234628 has 36 divisors (see below), whose sum is σ = 35419516860. Its totient is φ = 4666784256.

The previous prime is 14006234591. The next prime is 14006234653. The reversal of 14006234628 is 82643260041.

14006234628 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 6 + 23 + 4 + 628 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8996143104 + 5010091524 = 94848^2 + 70782^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14006234592 and 14006234601.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6528 + ... + 167496.

Almost surely, 214006234628 is an apocalyptic number.

14006234628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14006234628 is an abundant number, since it is smaller than the sum of its proper divisors (21413282232).

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

14006234628 is a wasteful number, since it uses less digits than its factorization.

14006234628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163396 (or 163391 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 14006234628 its reverse (82643260041), we get a palindrome (96649494669).

The spelling of 14006234628 in words is "fourteen billion, six million, two hundred thirty-four thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 2417 4834 7251 9668 14502 21753 29004 43506 87012 160969 321938 482907 643876 965814 1448721 1931628 2897442 5794884 389062073 778124146 1167186219 1556248292 2334372438 3501558657 4668744876 7003117314 14006234628