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13440653145 = 3252411239341
BaseRepresentation
bin11001000010010000…
…00001011101011001
31021200200221220221100
430201020001131121
5210011301400040
610101411502013
7654033444453
oct144110013531
937620856840
1013440653145
115777997707
1227312b7909
1313627781ca
149170b32d3
15539e95b30
hex321201759

13440653145 has 24 divisors (see below), whose sum is σ = 23393819592. Its totient is φ = 7138598400.

The previous prime is 13440653141. The next prime is 13440653153. The reversal of 13440653145 is 54135604431.

13440653145 is a `hidden beast` number, since 13 + 440 + 65 + 3 + 145 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1583403264 + 11857249881 = 39792^2 + 108891^2 .

It is not a de Polignac number, because 13440653145 - 22 = 13440653141 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13440653141) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 608826 + ... + 630515.

It is an arithmetic number, because the mean of its divisors is an integer number (974742483).

Almost surely, 213440653145 is an apocalyptic number.

13440653145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13440653145 is a deficient number, since it is larger than the sum of its proper divisors (9953166447).

13440653145 is a wasteful number, since it uses less digits than its factorization.

13440653145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239593 (or 1239590 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 13440653145 in words is "thirteen billion, four hundred forty million, six hundred fifty-three thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 241 723 1205 2169 3615 10845 1239341 3718023 6196705 11154069 18590115 55770345 298681181 896043543 1493405905 2688130629 4480217715 13440653145