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14044512105 = 3351358713633
BaseRepresentation
bin11010001010001111…
…00011111101101001
31100020210020010201000
431011013203331221
5212230343341410
610241342345213
71005015245301
oct150507437551
940223203630
1014044512105
115a578408a8
12287b58b209
13142a8c53c0
14973382601
15572ec6dc0
hex3451e3f69

14044512105 has 64 divisors (see below), whose sum is σ = 26936421120. Its totient is φ = 6901936128.

The previous prime is 14044512049. The next prime is 14044512143. The reversal of 14044512105 is 50121544041.

14044512105 is a `hidden beast` number, since 1 + 4 + 0 + 44 + 512 + 105 = 666.

It is not a de Polignac number, because 14044512105 - 27 = 14044511977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1023369 + ... + 1037001.

It is an arithmetic number, because the mean of its divisors is an integer number (420881580).

Almost surely, 214044512105 is an apocalyptic number.

14044512105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14044512105 is a deficient number, since it is larger than the sum of its proper divisors (12891909015).

14044512105 is a wasteful number, since it uses less digits than its factorization.

14044512105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14247 (or 14241 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 14044512105 in words is "fourteen billion, forty-four million, five hundred twelve thousand, one hundred five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 587 1755 1761 2935 5283 7631 8805 13633 15849 22893 26415 38155 40899 68165 68679 79245 114465 122697 177229 204495 206037 343395 368091 531687 613485 886145 1030185 1595061 1840455 2658435 4785183 7975305 8002571 23925915 24007713 40012855 72023139 104033423 120038565 216069417 312100269 360115695 520167115 936300807 1080347085 1560501345 2808902421 4681504035 14044512105