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4013400310057 is a prime number
BaseRepresentation
bin111010011001110001010…
…011001100000100101001
3112012200021202201222120001
4322121301103030010221
51011223420434410212
612311421453103001
7562646541523345
oct72316123140451
915180252658501
104013400310057
111308089933986
125499a7787a61
132316010b9b98
14dc36cd10625
156e5e7632657
hex3a6714cc129

4013400310057 has 2 divisors, whose sum is σ = 4013400310058. Its totient is φ = 4013400310056.

The previous prime is 4013400310027. The next prime is 4013400310069. The reversal of 4013400310057 is 7500130043104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3129162875136 + 884237434921 = 1768944^2 + 940339^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4013400310057 is a prime.

It is a super-2 number, since 2×40134003100572 (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (4013400310027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2006700155028 + 2006700155029.

It is an arithmetic number, because the mean of its divisors is an integer number (2006700155029).

Almost surely, 24013400310057 is an apocalyptic number.

It is an amenable number.

4013400310057 is a deficient number, since it is larger than the sum of its proper divisors (1).

4013400310057 is an equidigital number, since it uses as much as digits as its factorization.

4013400310057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 28.

The spelling of 4013400310057 in words is "four trillion, thirteen billion, four hundred million, three hundred ten thousand, fifty-seven".