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34414666361 is a prime number
BaseRepresentation
bin100000000011010001…
…100010001001111001
310021211102021012010122
4200003101202021321
51030440123310421
623450533423025
72325553560155
oct400321421171
9107742235118
1034414666361
1113660200229
12680549aa75
133325b9190a
1419468a0065
15d664ad2ab
hex803462279

34414666361 has 2 divisors, whose sum is σ = 34414666362. Its totient is φ = 34414666360.

The previous prime is 34414666327. The next prime is 34414666373. The reversal of 34414666361 is 16366641443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33981235600 + 433430761 = 184340^2 + 20819^2 .

It is a cyclic number.

It is not a de Polignac number, because 34414666361 - 214 = 34414649977 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (34414666061) 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, 17207333180 + 17207333181.

It is an arithmetic number, because the mean of its divisors is an integer number (17207333181).

Almost surely, 234414666361 is an apocalyptic number.

It is an amenable number.

34414666361 is a deficient number, since it is larger than the sum of its proper divisors (1).

34414666361 is an equidigital number, since it uses as much as digits as its factorization.

34414666361 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 746496, while the sum is 44.

The spelling of 34414666361 in words is "thirty-four billion, four hundred fourteen million, six hundred sixty-six thousand, three hundred sixty-one".