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34040405057 is a prime number
BaseRepresentation
bin11111101100111101…
…110101110001000001
310020212100000202010212
4133230331311301001
51024203320430212
623345444003505
72313360445301
oct375475656101
9106770022125
1034040405057
1113488a1516a
126720090595
133296492819
14190ccb9601
15d436d0e22
hex7ecf75c41

34040405057 has 2 divisors, whose sum is σ = 34040405058. Its totient is φ = 34040405056.

The previous prime is 34040405051. The next prime is 34040405081. The reversal of 34040405057 is 75050404043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 22379860801 + 11660544256 = 149599^2 + 107984^2 .

It is a cyclic number.

It is not a de Polignac number, because 34040405057 - 226 = 33973296193 is a prime.

It is a super-4 number, since 4×340404050574 (a number of 43 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (34040405051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17020202528 + 17020202529.

It is an arithmetic number, because the mean of its divisors is an integer number (17020202529).

Almost surely, 234040405057 is an apocalyptic number.

It is an amenable number.

34040405057 is a deficient number, since it is larger than the sum of its proper divisors (1).

34040405057 is an equidigital number, since it uses as much as digits as its factorization.

34040405057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 33600, while the sum is 32.

The spelling of 34040405057 in words is "thirty-four billion, forty million, four hundred five thousand, fifty-seven".