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34130442339 = 337180584351
BaseRepresentation
bin11111110010010101…
…010011100001100011
310021002121110010002000
4133302111103201203
51024344343123324
623402421455043
72315532654540
oct376225234143
9107077403060
1034130442339
1113524821544
126746271483
1332ac028716
14191ac35bc7
15d4b5689c9
hex7f2553863

34130442339 has 16 divisors (see below), whose sum is σ = 57786992640. Its totient is φ = 19503109800.

The previous prime is 34130442323. The next prime is 34130442347. The reversal of 34130442339 is 93324403143.

34130442339 is a `hidden beast` number, since 3 + 413 + 0 + 4 + 4 + 233 + 9 = 666.

It is not a de Polignac number, because 34130442339 - 24 = 34130442323 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34130442239) 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 15 ways as a sum of consecutive naturals, for example, 90291987 + ... + 90292364.

It is an arithmetic number, because the mean of its divisors is an integer number (3611687040).

Almost surely, 234130442339 is an apocalyptic number.

34130442339 is a deficient number, since it is larger than the sum of its proper divisors (23656550301).

34130442339 is a wasteful number, since it uses less digits than its factorization.

34130442339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180584367 (or 180584361 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 34130442339 in words is "thirty-four billion, one hundred thirty million, four hundred forty-two thousand, three hundred thirty-nine".

Divisors: 1 3 7 9 21 27 63 189 180584351 541753053 1264090457 1625259159 3792271371 4875777477 11376814113 34130442339