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14141310464 = 29171624691
BaseRepresentation
bin11010010101110001…
…10100011000000000
31100111112101000002102
431022320310120000
5212430133413324
610255121205532
71010302104251
oct151270643000
940445330072
1014141310464
115aa7445946
1228a7a908a8
131444987838
1498217cb28
1557b747dae
hex34ae34600

14141310464 has 40 divisors (see below), whose sum is σ = 29917078488. Its totient is φ = 6654730240.

The previous prime is 14141310439. The next prime is 14141310473. The reversal of 14141310464 is 46401314141.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 803642 + ... + 821049.

Almost surely, 214141310464 is an apocalyptic number.

It is an amenable number.

14141310464 is an abundant number, since it is smaller than the sum of its proper divisors (15775768024).

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

14141310464 is an equidigital number, since it uses as much as digits as its factorization.

14141310464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624726 (or 1624710 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 14141310464 in words is "fourteen billion, one hundred forty-one million, three hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 8704 1624691 3249382 6498764 12997528 25995056 27619747 51990112 55239494 103980224 110478988 207960448 220957976 415920896 441915952 831841792 883831904 1767663808 3535327616 7070655232 14141310464