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13141416065 = 513742145569
BaseRepresentation
bin11000011110100101…
…00001100010000001
31020220211220002211112
430033102201202001
5203403200303230
610012002053105
7643441123241
oct141722414201
936824802745
1013141416065
115633a94438
12266904a195
13131578674b
148c945bb21
1551da87d95
hex30f4a1881

13141416065 has 16 divisors (see below), whose sum is σ = 15922887120. Its totient is φ = 10411376640.

The previous prime is 13141416053. The next prime is 13141416073. The reversal of 13141416065 is 56061414131.

It can be written as a sum of positive squares in 8 ways, for example, as 158180929 + 12983235136 = 12577^2 + 113944^2 .

It is not a de Polignac number, because 13141416065 - 24 = 13141416049 is a prime.

It is a Curzon number.

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 15 ways as a sum of consecutive naturals, for example, 265601 + ... + 311169.

It is an arithmetic number, because the mean of its divisors is an integer number (995180445).

Almost surely, 213141416065 is an apocalyptic number.

It is an amenable number.

13141416065 is a deficient number, since it is larger than the sum of its proper divisors (2781471055).

13141416065 is a wasteful number, since it uses less digits than its factorization.

13141416065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46132.

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 13141416065 in words is "thirteen billion, one hundred forty-one million, four hundred sixteen thousand, sixty-five".

Divisors: 1 5 137 421 685 2105 45569 57677 227845 288385 6242953 19184549 31214765 95922745 2628283213 13141416065