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34141014317 is a prime number
BaseRepresentation
bin11111110010111101…
…101000100100101101
310021010100100020002202
4133302331220210231
51024410044424232
623403440231245
72316021555614
oct376275504455
9107110306082
1034141014317
111352a792413
12674990b525
1332b128a727
14191c3c887b
15d4c456162
hex7f2f6892d

34141014317 has 2 divisors, whose sum is σ = 34141014318. Its totient is φ = 34141014316.

The previous prime is 34141014289. The next prime is 34141014343. The reversal of 34141014317 is 71341014143.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 25631689801 + 8509324516 = 160099^2 + 92246^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34141014317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34141014317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34141014917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17070507158 + 17070507159.

It is an arithmetic number, because the mean of its divisors is an integer number (17070507159).

Almost surely, 234141014317 is an apocalyptic number.

It is an amenable number.

34141014317 is a deficient number, since it is larger than the sum of its proper divisors (1).

34141014317 is an equidigital number, since it uses as much as digits as its factorization.

34141014317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 29.

The spelling of 34141014317 in words is "thirty-four billion, one hundred forty-one million, fourteen thousand, three hundred seventeen".