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14136240564 = 2232392673349
BaseRepresentation
bin11010010101001010…
…11110100110110100
31100111011211102111100
431022211132212310
5212422334144224
610254420410100
71010211030225
oct151245364664
940434742440
1014136240564
115aa45a2846
1228a6246930
131443900cb4
1498161d24c
1557b095ac9
hex34a95e9b4

14136240564 has 18 divisors (see below), whose sum is σ = 35733274850. Its totient is φ = 4712080176.

The previous prime is 14136240557. The next prime is 14136240659. The reversal of 14136240564 is 46504263141.

14136240564 is a `hidden beast` number, since 1 + 41 + 36 + 24 + 0 + 564 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8297752464 + 5838488100 = 91092^2 + 76410^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 392673349 = 14136240564 / (1 + 4 + 1 + 3 + 6 + 2 + 4 + 0 + 5 + 6 + 4).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 196336639 + ... + 196336710.

Almost surely, 214136240564 is an apocalyptic number.

It is an amenable number.

14136240564 is an abundant number, since it is smaller than the sum of its proper divisors (21597034286).

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

14136240564 is a wasteful number, since it uses less digits than its factorization.

14136240564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392673359 (or 392673354 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 14136240564 in words is "fourteen billion, one hundred thirty-six million, two hundred forty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 392673349 785346698 1178020047 1570693396 2356040094 3534060141 4712080188 7068120282 14136240564