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14332144160 = 255677132313
BaseRepresentation
bin11010101100100001…
…10010101000100000
31100222211110100201002
431112100302220200
5213323012103120
610330055331132
71015110133565
oct152620625040
940884410632
1014332144160
116095138044
12293b980aa8
131475382899
1499d65686c
1558d391375
hex356432a20

14332144160 has 48 divisors (see below), whose sum is σ = 33909961176. Its totient is φ = 5724346368.

The previous prime is 14332144147. The next prime is 14332144171. The reversal of 14332144160 is 6144123341.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 13408713616 + 923430544 = 115796^2 + 30388^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 42164 + ... + 174476.

Almost surely, 214332144160 is an apocalyptic number.

14332144160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14332144160 is an abundant number, since it is smaller than the sum of its proper divisors (19577817016).

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

14332144160 is a wasteful number, since it uses less digits than its factorization.

14332144160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133005 (or 132997 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 14332144160 in words is "fourteen billion, three hundred thirty-two million, one hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 677 1354 2708 3385 5416 6770 10832 13540 21664 27080 54160 108320 132313 264626 529252 661565 1058504 1323130 2117008 2646260 4234016 5292520 10585040 21170080 89575901 179151802 358303604 447879505 716607208 895759010 1433214416 1791518020 2866428832 3583036040 7166072080 14332144160