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41312661313 = 721126967897
BaseRepresentation
bin100110011110011011…
…010010111101000001
310221122011001122022011
4212132123102331001
51134102020130223
630551225412521
72661523553500
oct463633227501
9127564048264
1041312661313
111657aa13a00
12800b63a141
133b85001531
141ddca66837
15111bd7880d
hex99e6d2f41

41312661313 has 18 divisors (see below), whose sum is σ = 52823634738. Its totient is φ = 32191679520.

The previous prime is 41312661311. The next prime is 41312661317. The reversal of 41312661313 is 31316621314.

It can be written as a sum of positive squares in only one way, i.e., 36937764864 + 4374896449 = 192192^2 + 66143^2 .

It is not a de Polignac number, because 41312661313 - 21 = 41312661311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (41312661311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3478020 + ... + 3489877.

Almost surely, 241312661313 is an apocalyptic number.

It is an amenable number.

41312661313 is a deficient number, since it is larger than the sum of its proper divisors (11510973425).

41312661313 is a wasteful number, since it uses less digits than its factorization.

41312661313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6967933 (or 6967915 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The spelling of 41312661313 in words is "forty-one billion, three hundred twelve million, six hundred sixty-one thousand, three hundred thirteen".

Divisors: 1 7 11 49 77 121 539 847 5929 6967897 48775279 76646867 341426953 536528069 843115537 3755696483 5901808759 41312661313