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14256665320 = 235761468353
BaseRepresentation
bin11010100011100001…
…10111001011101000
31100210120102122012111
431101300313023220
5213144201242240
610314401452104
71013202440632
oct152160671350
940716378174
1014256665320
116056574737
12291a641034
131462846351
14993609a52
155869321ea
hex351c372e8

14256665320 has 32 divisors (see below), whose sum is σ = 32119717320. Its totient is φ = 5695160320.

The previous prime is 14256665303. The next prime is 14256665329. The reversal of 14256665320 is 2356665241.

It is a happy number.

14256665320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4087556356 + 10169108964 = 63934^2 + 100842^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (14256665329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203737 + ... + 264616.

Almost surely, 214256665320 is an apocalyptic number.

14256665320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14256665320 is an abundant number, since it is smaller than the sum of its proper divisors (17863052000).

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

14256665320 is a wasteful number, since it uses less digits than its factorization.

14256665320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469125 (or 469121 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 14256665320 in words is "fourteen billion, two hundred fifty-six million, six hundred sixty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 761 1522 3044 3805 6088 7610 15220 30440 468353 936706 1873412 2341765 3746824 4683530 9367060 18734120 356416633 712833266 1425666532 1782083165 2851333064 3564166330 7128332660 14256665320