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14134146688 = 27191578131
BaseRepresentation
bin11010010100111010…
…11111011010000000
31100111000220001020101
431022131133122000
5212421320143223
610254303452144
71010154156514
oct151235373200
940430801211
1014134146688
115aa33a2672
1228a55b7054
131443349c0c
14981236144
1557acd04ad
hex34a75f680

14134146688 has 32 divisors (see below), whose sum is σ = 28305342720. Its totient is φ = 7030060800.

The previous prime is 14134146679. The next prime is 14134146707. The reversal of 14134146688 is 88664143141.

14134146688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 264618 + ... + 313513.

It is an arithmetic number, because the mean of its divisors is an integer number (884541960).

Almost surely, 214134146688 is an apocalyptic number.

It is an amenable number.

14134146688 is an abundant number, since it is smaller than the sum of its proper divisors (14171196032).

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

14134146688 is an equidigital number, since it uses as much as digits as its factorization.

14134146688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578336 (or 578324 counting only the distinct ones).

The product of its digits is 442368, while the sum is 46.

The spelling of 14134146688 in words is "fourteen billion, one hundred thirty-four million, one hundred forty-six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 32 64 128 191 382 764 1528 3056 6112 12224 24448 578131 1156262 2312524 4625048 9250096 18500192 37000384 74000768 110423021 220846042 441692084 883384168 1766768336 3533536672 7067073344 14134146688