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14609659140 = 2232599781409
BaseRepresentation
bin11011001101100110…
…11011010100000100
31101201011122120200200
431212303123110010
5214410033043030
610413411410500
71025020024266
oct154663332404
941634576620
1014609659140
11621785416a
1229b88b3a30
1314baa0a12b
149c8455b36
155a790cd60
hex366cdb504

14609659140 has 72 divisors (see below), whose sum is σ = 44360960280. Its totient is φ = 3891953664.

The previous prime is 14609659139. The next prime is 14609659213. The reversal of 14609659140 is 4195690641.

It is a happy number.

14609659140 is a `hidden beast` number, since 1 + 460 + 9 + 65 + 91 + 40 = 666.

14609659140 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 2772654336 + 11837004804 = 52656^2 + 108798^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 138756 + ... + 220164.

Almost surely, 214609659140 is an apocalyptic number.

14609659140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14609659140 is an abundant number, since it is smaller than the sum of its proper divisors (29751301140).

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

14609659140 is a wasteful number, since it uses less digits than its factorization.

14609659140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82421 (or 82416 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 14609659140 in words is "fourteen billion, six hundred nine million, six hundred fifty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 997 1994 2991 3988 4985 5982 8973 9970 11964 14955 17946 19940 29910 35892 44865 59820 81409 89730 162818 179460 244227 325636 407045 488454 732681 814090 976908 1221135 1465362 1628180 2442270 2930724 3663405 4884540 7326810 14653620 81164773 162329546 243494319 324659092 405823865 486988638 730482957 811647730 973977276 1217471595 1460965914 1623295460 2434943190 2921931828 3652414785 4869886380 7304829570 14609659140