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14244216264 = 23321391423283
BaseRepresentation
bin11010100010000010…
…10111110111001000
31100202201000011022100
431101001113313020
5213133004410024
610313234553400
71012661561205
oct152101276710
940681004270
1014244216264
11604a541563
122916438860
1314600a7b45
14991ac8cac
155857c37c9
hex351057dc8

14244216264 has 48 divisors (see below), whose sum is σ = 38855653200. Its totient is φ = 4713909984.

The previous prime is 14244216251. The next prime is 14244216277. The reversal of 14244216264 is 46261244241.

14244216264 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 4 + 21 + 626 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (14244216251) and next prime (14244216277).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 701634 + ... + 721649.

It is an arithmetic number, because the mean of its divisors is an integer number (809492775).

Almost surely, 214244216264 is an apocalyptic number.

It is an amenable number.

14244216264 is an abundant number, since it is smaller than the sum of its proper divisors (24611436936).

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

14244216264 is a wasteful number, since it uses less digits than its factorization.

14244216264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423434 (or 1423427 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 14244216264 in words is "fourteen billion, two hundred forty-four million, two hundred sixteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1668 2502 3336 5004 10008 1423283 2846566 4269849 5693132 8539698 11386264 12809547 17079396 25619094 34158792 51238188 102476376 197836337 395672674 593509011 791345348 1187018022 1582690696 1780527033 2374036044 3561054066 4748072088 7122108132 14244216264