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34460686141 = 726111529169
BaseRepresentation
bin100000000110000001…
…000101011100111101
310021221121212020101221
4200012001011130331
51031033413424031
623455300033341
72326652666500
oct400601053475
9107847766357
1034460686141
1113684182602
126818992851
13333258545b
14194ca3d137
15d6a54da11
hex80604573d

34460686141 has 12 divisors (see below), whose sum is σ = 40744086780. Its totient is φ = 29053503360.

The previous prime is 34460686049. The next prime is 34460686151. The reversal of 34460686141 is 14168606443.

It can be written as a sum of positive squares in 2 ways, for example, as 18069005241 + 16391680900 = 134421^2 + 128030^2 .

It is not a de Polignac number, because 34460686141 - 227 = 34326468413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34460686151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5761596 + ... + 5767573.

It is an arithmetic number, because the mean of its divisors is an integer number (3395340565).

Almost surely, 234460686141 is an apocalyptic number.

It is an amenable number.

34460686141 is a deficient number, since it is larger than the sum of its proper divisors (6283400639).

34460686141 is a wasteful number, since it uses less digits than its factorization.

34460686141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11529244 (or 11529237 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 34460686141 in words is "thirty-four billion, four hundred sixty million, six hundred eighty-six thousand, one hundred forty-one".

Divisors: 1 7 49 61 427 2989 11529169 80704183 564929281 703279309 4922955163 34460686141