Search a number
-
+
408044400017 is a prime number
BaseRepresentation
bin1011111000000010101…
…01110110110110010001
31110000020022112020021012
411330001111312312101
523141133331300032
6511241503340305
741323502113202
oct5740125666621
91400208466235
10408044400017
11148061476181
12670b92b1695
132c62b128957
1415a6c7075a9
15a932c646b2
hex5f01576d91

408044400017 has 2 divisors, whose sum is σ = 408044400018. Its totient is φ = 408044400016.

The previous prime is 408044399989. The next prime is 408044400019. The reversal of 408044400017 is 710004440804.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 359077791361 + 48966608656 = 599231^2 + 221284^2 .

It is a cyclic number.

It is not a de Polignac number, because 408044400017 - 28 = 408044399761 is a prime.

Together with 408044400019, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (408044400019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204022200008 + 204022200009.

It is an arithmetic number, because the mean of its divisors is an integer number (204022200009).

Almost surely, 2408044400017 is an apocalyptic number.

It is an amenable number.

408044400017 is a deficient number, since it is larger than the sum of its proper divisors (1).

408044400017 is an equidigital number, since it uses as much as digits as its factorization.

408044400017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14336, while the sum is 32.

The spelling of 408044400017 in words is "four hundred eight billion, forty-four million, four hundred thousand, seventeen".