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14043640464 = 243374644061
BaseRepresentation
bin11010001010001000…
…01111001010010000
31100020201120212001000
431011010033022100
5212230132443324
610241311542000
71005004655130
oct150504171220
940221525030
1014043640464
115a572a5a37
12287b22a900
13142a67b739
149731d6ac0
15572da39c9
hex34510f290

14043640464 has 80 divisors (see below), whose sum is σ = 46069095040. Its totient is φ = 4012467840.

The previous prime is 14043640441. The next prime is 14043640469. The reversal of 14043640464 is 46404634041.

14043640464 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 3 + 640 + 4 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14043640469) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2319007 + ... + 2325054.

It is an arithmetic number, because the mean of its divisors is an integer number (575863688).

Almost surely, 214043640464 is an apocalyptic number.

14043640464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14043640464 is an abundant number, since it is smaller than the sum of its proper divisors (32025454576).

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

14043640464 is a wasteful number, since it uses less digits than its factorization.

14043640464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644085 (or 4644073 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 14043640464 in words is "fourteen billion, forty-three million, six hundred forty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 4644061 9288122 13932183 18576244 27864366 32508427 37152488 41796549 55728732 65016854 74304976 83593098 97525281 111457464 125389647 130033708 167186196 195050562 222914928 250779294 260067416 292575843 334372392 390101124 501558588 520134832 585151686 668744784 780202248 877727529 1003117176 1170303372 1560404496 1755455058 2006234352 2340606744 3510910116 4681213488 7021820232 14043640464