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14166156132 = 2232509773093
BaseRepresentation
bin11010011000101111…
…00110001101100100
31100120021010021221100
431030113212031210
5213003013444012
610301405520100
71011023224512
oct151427461544
940507107840
1014166156132
11600a475857
1228b4273030
131449b7670b
149855a94b2
1557da048dc
hex34c5e6364

14166156132 has 36 divisors (see below), whose sum is σ = 35879292540. Its totient is φ = 4712768832.

The previous prime is 14166156131. The next prime is 14166156133. The reversal of 14166156132 is 23165166141.

14166156132 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 61 + 561 + 32 = 666.

14166156132 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 (14166156131) and next prime (14166156133).

It can be written as a sum of positive squares in 2 ways, for example, as 13107044196 + 1059111936 = 114486^2 + 32544^2 .

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 not an unprimeable number, because it can be changed into a prime (14166156131) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 368223 + ... + 404870.

It is an arithmetic number, because the mean of its divisors is an integer number (996647015).

Almost surely, 214166156132 is an apocalyptic number.

14166156132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14166156132 is an abundant number, since it is smaller than the sum of its proper divisors (21713136408).

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

14166156132 is a wasteful number, since it uses less digits than its factorization.

14166156132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773612 (or 773607 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The spelling of 14166156132 in words is "fourteen billion, one hundred sixty-six million, one hundred fifty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 509 1018 1527 2036 3054 4581 6108 9162 18324 773093 1546186 2319279 3092372 4638558 6957837 9277116 13915674 27831348 393504337 787008674 1180513011 1574017348 2361026022 3541539033 4722052044 7083078066 14166156132