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41365406313 = 3271159690341
BaseRepresentation
bin100110100001100100…
…100000001001101001
310221202211022100211200
4212201210200021221
51134204021000223
631000352114413
72663034103140
oct464144401151
9127684270750
1041365406313
11165a776a010
128025235a09
133b92c0b1aa
142005a76757
1511217e6a43
hex9a1920269

41365406313 has 24 divisors (see below), whose sum is σ = 74493546816. Its totient is φ = 21488522400.

The previous prime is 41365406311. The next prime is 41365406323. The reversal of 41365406313 is 31360456314.

41365406313 is a `hidden beast` number, since 4 + 13 + 6 + 5 + 4 + 0 + 631 + 3 = 666.

It is not a de Polignac number, because 41365406313 - 21 = 41365406311 is a prime.

It is a super-2 number, since 2×413654063132 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (41365406311) 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, 29844478 + ... + 29845863.

It is an arithmetic number, because the mean of its divisors is an integer number (3103897784).

Almost surely, 241365406313 is an apocalyptic number.

It is an amenable number.

41365406313 is a deficient number, since it is larger than the sum of its proper divisors (33128140503).

41365406313 is a wasteful number, since it uses less digits than its factorization.

41365406313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59690365 (or 59690362 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 41365406313 in words is "forty-one billion, three hundred sixty-five million, four hundred six thousand, three hundred thirteen".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 59690341 179071023 417832387 537213069 656593751 1253497161 1969781253 3760491483 4596156257 5909343759 13788468771 41365406313