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34414110977 is a prime number
BaseRepresentation
bin100000000011001111…
…011010100100000001
310021211101012222021212
4200003033122210001
51030440003022402
623450513455505
72325546055031
oct400317324401
9107741188255
1034414110977
111365a960a34
126805271595
133325a28b9c
1419467978c1
15d663ed952
hex8033da901

34414110977 has 2 divisors, whose sum is σ = 34414110978. Its totient is φ = 34414110976.

The previous prime is 34414110971. The next prime is 34414111027. The reversal of 34414110977 is 77901141443.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32290652416 + 2123458561 = 179696^2 + 46081^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34414110977 is a prime.

It is not a weakly prime, because it can be changed into another prime (34414110971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17207055488 + 17207055489.

It is an arithmetic number, because the mean of its divisors is an integer number (17207055489).

Almost surely, 234414110977 is an apocalyptic number.

It is an amenable number.

34414110977 is a deficient number, since it is larger than the sum of its proper divisors (1).

34414110977 is an equidigital number, since it uses as much as digits as its factorization.

34414110977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 34414110977 in words is "thirty-four billion, four hundred fourteen million, one hundred ten thousand, nine hundred seventy-seven".