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4138322057 is a prime number
BaseRepresentation
bin1111011010101001…
…1100100010001001
3101200101222112122022
43312222130202021
531433402301212
61522350334225
7204360104612
oct36652344211
911611875568
104138322057
111833a7a681
12975aba375
1350c49209c
142b387cc09
15193499772
hexf6a9c889

4138322057 has 2 divisors, whose sum is σ = 4138322058. Its totient is φ = 4138322056.

The previous prime is 4138321987. The next prime is 4138322099. The reversal of 4138322057 is 7502238314.

4138322057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4122153616 + 16168441 = 64204^2 + 4021^2 .

It is a cyclic number.

It is not a de Polignac number, because 4138322057 - 212 = 4138317961 is a prime.

It is a super-2 number, since 2×41383220572 = 34251418894905422498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4138322557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2069161028 + 2069161029.

It is an arithmetic number, because the mean of its divisors is an integer number (2069161029).

Almost surely, 24138322057 is an apocalyptic number.

It is an amenable number.

4138322057 is a deficient number, since it is larger than the sum of its proper divisors (1).

4138322057 is an equidigital number, since it uses as much as digits as its factorization.

4138322057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 4138322057 is about 64329.7913644992. The cubic root of 4138322057 is about 1605.4918129326.

The spelling of 4138322057 in words is "four billion, one hundred thirty-eight million, three hundred twenty-two thousand, fifty-seven".