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34040344113 = 3231752122901
BaseRepresentation
bin11111101100111101…
…100110111000110001
310020212022220122112200
4133230331212320301
51024203312002423
623345442413413
72313360102516
oct375475467061
9106768818480
1034040344113
11134889833a6
126720061269
133296470b69
14190cca130d
15d436bcd43
hex7ecf66e31

34040344113 has 24 divisors (see below), whose sum is σ = 49421325096. Its totient is φ = 22577568000.

The previous prime is 34040344067. The next prime is 34040344123. The reversal of 34040344113 is 31144304043.

It can be written as a sum of positive squares in 4 ways, for example, as 3697491249 + 30342852864 = 60807^2 + 174192^2 .

It is not a de Polignac number, because 34040344113 - 210 = 34040343089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34040344123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1474963 + ... + 1497863.

It is an arithmetic number, because the mean of its divisors is an integer number (2059221879).

Almost surely, 234040344113 is an apocalyptic number.

It is an amenable number.

34040344113 is a deficient number, since it is larger than the sum of its proper divisors (15380980983).

34040344113 is a wasteful number, since it uses less digits than its factorization.

34040344113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23745 (or 23742 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34040344113 its reverse (31144304043), we get a palindrome (65184648156).

The spelling of 34040344113 in words is "thirty-four billion, forty million, three hundred forty-four thousand, one hundred thirteen".

Divisors: 1 3 9 317 521 951 1563 2853 4689 22901 68703 165157 206109 495471 1486413 7259617 11931421 21778851 35794263 65336553 107382789 3782260457 11346781371 34040344113