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34376876041 is a prime number
BaseRepresentation
bin100000000001000001…
…011000000000001001
310021201210011020120011
4200001001120000021
51030400440013131
623443103431521
72324614424254
oct400101300011
9107653136504
1034376876041
1113640939862
1267b48b55a1
13331b0bca91
14194186409b
15d62ee60b1
hex801058009

34376876041 has 2 divisors, whose sum is σ = 34376876042. Its totient is φ = 34376876040.

The previous prime is 34376876033. The next prime is 34376876087. The reversal of 34376876041 is 14067867343.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30555040000 + 3821836041 = 174800^2 + 61821^2 .

It is a cyclic number.

It is not a de Polignac number, because 34376876041 - 23 = 34376876033 is a prime.

It is not a weakly prime, because it can be changed into another prime (34377876041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17188438020 + 17188438021.

It is an arithmetic number, because the mean of its divisors is an integer number (17188438021).

Almost surely, 234376876041 is an apocalyptic number.

It is an amenable number.

34376876041 is a deficient number, since it is larger than the sum of its proper divisors (1).

34376876041 is an equidigital number, since it uses as much as digits as its factorization.

34376876041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2032128, while the sum is 49.

The spelling of 34376876041 in words is "thirty-four billion, three hundred seventy-six million, eight hundred seventy-six thousand, forty-one".