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14210283168 = 253316447087
BaseRepresentation
bin11010011101111111…
…11011011010100000
31100200100011011212000
431032333323122200
5213100313030133
610310023404000
71012100261664
oct151677733240
940610134760
1014210283168
116032375084
122906bb3600
1314560568a3
1498b3b48a4
1558281e413
hex34effb6a0

14210283168 has 48 divisors (see below), whose sum is σ = 41446661760. Its totient is φ = 4736760768.

The previous prime is 14210283151. The next prime is 14210283169. The reversal of 14210283168 is 86138201241.

14210283168 is a `hidden beast` number, since 1 + 4 + 210 + 283 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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 (14210283169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8222680 + ... + 8224407.

It is an arithmetic number, because the mean of its divisors is an integer number (863472120).

Almost surely, 214210283168 is an apocalyptic number.

14210283168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14210283168 is an abundant number, since it is smaller than the sum of its proper divisors (27236378592).

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

14210283168 is a wasteful number, since it uses less digits than its factorization.

14210283168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16447106 (or 16447092 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 14210283168 in words is "fourteen billion, two hundred ten million, two hundred eighty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 16447087 32894174 49341261 65788348 98682522 131576696 148023783 197365044 263153392 296047566 394730088 444071349 526306784 592095132 789460176 888142698 1184190264 1578920352 1776285396 2368380528 3552570792 4736761056 7105141584 14210283168