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14456261053 = 134169139251
BaseRepresentation
bin11010111011010100…
…10000100110111101
31101022111000011002001
431131222100212331
5214101300323203
610350251502301
71021145122453
oct153552204675
941274004061
1014456261053
116149200993
122975457991
131494cbb630
149b1d249d3
1559920b91d
hex35da909bd

14456261053 has 16 divisors (see below), whose sum is σ = 15971481792. Its totient is φ = 12999600000.

The previous prime is 14456260991. The next prime is 14456261077. The reversal of 14456261053 is 35016265441.

It is a cyclic number.

It is not a de Polignac number, because 14456261053 - 225 = 14422706621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14456261353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348678 + ... + 387928.

It is an arithmetic number, because the mean of its divisors is an integer number (998217612).

Almost surely, 214456261053 is an apocalyptic number.

14456261053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

14456261053 is a deficient number, since it is larger than the sum of its proper divisors (1515220739).

14456261053 is a wasteful number, since it uses less digits than its factorization.

14456261053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39996.

The product of its (nonzero) digits is 86400, while the sum is 37.

The spelling of 14456261053 in words is "fourteen billion, four hundred fifty-six million, two hundred sixty-one thousand, fifty-three".

Divisors: 1 13 41 533 691 8983 28331 39251 368303 510263 1609291 20920783 27122441 352591733 1112020081 14456261053