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34141430417 is a prime number
BaseRepresentation
bin11111110010111111…
…001110001010010001
310021010101010100212212
4133302333032022101
51024410201233132
623403453201505
72316025241003
oct376277161221
9107111110785
1034141430417
111352aa46aa6
126749a90295
1332b13a4c43
14191c496373
15d4c4d95b2
hex7f2fce291

34141430417 has 2 divisors, whose sum is σ = 34141430418. Its totient is φ = 34141430416.

The previous prime is 34141430413. The next prime is 34141430443. The reversal of 34141430417 is 71403414143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24839020816 + 9302409601 = 157604^2 + 96449^2 .

It is a cyclic number.

It is not a de Polignac number, because 34141430417 - 22 = 34141430413 is a prime.

It is not a weakly prime, because it can be changed into another prime (34141430413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17070715208 + 17070715209.

It is an arithmetic number, because the mean of its divisors is an integer number (17070715209).

Almost surely, 234141430417 is an apocalyptic number.

It is an amenable number.

34141430417 is a deficient number, since it is larger than the sum of its proper divisors (1).

34141430417 is an equidigital number, since it uses as much as digits as its factorization.

34141430417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 34141430417 in words is "thirty-four billion, one hundred forty-one million, four hundred thirty thousand, four hundred seventeen".