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34045521341 = 132201452789
BaseRepresentation
bin11111101101010001…
…010110110110111101
310020212200122200100212
4133231101112312331
51024211123140331
623350145402205
72313452104466
oct375521266675
9106780580325
1034045521341
111349089a0a7
126721939365
133297564500
14190d84bd6d
15d43d91d2b
hex7ed456dbd

34045521341 has 6 divisors (see below), whose sum is σ = 36865860570. Its totient is φ = 31426634928.

The previous prime is 34045521337. The next prime is 34045521407. The reversal of 34045521341 is 14312554043.

It can be written as a sum of positive squares in 3 ways, for example, as 132825625 + 33912695716 = 11525^2 + 184154^2 .

It is not a de Polignac number, because 34045521341 - 22 = 34045521337 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34045521298 and 34045521307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34045521941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100726226 + ... + 100726563.

It is an arithmetic number, because the mean of its divisors is an integer number (6144310095).

Almost surely, 234045521341 is an apocalyptic number.

It is an amenable number.

34045521341 is a deficient number, since it is larger than the sum of its proper divisors (2820339229).

34045521341 is a wasteful number, since it uses less digits than its factorization.

34045521341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201452815 (or 201452802 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 34045521341 in words is "thirty-four billion, forty-five million, five hundred twenty-one thousand, three hundred forty-one".

Divisors: 1 13 169 201452789 2618886257 34045521341