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14045018364 = 22321330010723
BaseRepresentation
bin11010001010010010…
…11111100011111100
31100020211011212011100
431011021133203330
5212231011041424
610241401253100
71005022454256
oct150511374374
940224155140
1014045018364
115a580571a3
12287b794190
13142aa41970
14973474cd6
15573076dc9
hex34525f8fc

14045018364 has 36 divisors (see below), whose sum is σ = 38233662376. Its totient is φ = 4321543968.

The previous prime is 14045018363. The next prime is 14045018369. The reversal of 14045018364 is 46381054041.

14045018364 is a `hidden beast` number, since 14 + 0 + 4 + 501 + 83 + 64 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14045018363) 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 11 ways as a sum of consecutive naturals, for example, 15004894 + ... + 15005829.

Almost surely, 214045018364 is an apocalyptic number.

It is an amenable number.

14045018364 is an abundant number, since it is smaller than the sum of its proper divisors (24188644012).

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

14045018364 is a wasteful number, since it uses less digits than its factorization.

14045018364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30010746 (or 30010741 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 14045018364 in words is "fourteen billion, forty-five million, eighteen thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 30010723 60021446 90032169 120042892 180064338 270096507 360128676 390139399 540193014 780278798 1080386028 1170418197 1560557596 2340836394 3511254591 4681672788 7022509182 14045018364