Search a number
-
+
13939364401 is a prime number
BaseRepresentation
bin11001111101101100…
…11101001000110001
31022222110101002011121
430332312131020301
5212021434130101
610223104542241
71002300433234
oct147666351061
938873332147
1013939364401
115a03453876
122850321981
131411b9b821
1496341141b
15568b570a1
hex33ed9d231

13939364401 has 2 divisors, whose sum is σ = 13939364402. Its totient is φ = 13939364400.

The previous prime is 13939364371. The next prime is 13939364437. The reversal of 13939364401 is 10446393931.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7814736801 + 6124627600 = 88401^2 + 78260^2 .

It is a cyclic number.

It is not a de Polignac number, because 13939364401 - 221 = 13937267249 is a prime.

It is not a weakly prime, because it can be changed into another prime (13939364441) 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, 6969682200 + 6969682201.

It is an arithmetic number, because the mean of its divisors is an integer number (6969682201).

Almost surely, 213939364401 is an apocalyptic number.

It is an amenable number.

13939364401 is a deficient number, since it is larger than the sum of its proper divisors (1).

13939364401 is an equidigital number, since it uses as much as digits as its factorization.

13939364401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 209952, while the sum is 43.

The spelling of 13939364401 in words is "thirteen billion, nine hundred thirty-nine million, three hundred sixty-four thousand, four hundred one".