Search a number
-
+
408356802142753 is a prime number
BaseRepresentation
bin101110011011001011111101…
…0001000100010001000100001
31222112212112021122211101001011
41130312113322020202020201
5412011004212322032003
64004300305231140521
7152004543144055042
oct13466277210421041
91875775248741034
10408356802142753
1110912a168a73762
123997234a974741
13146b1b5c02c569
1472ba808cd08c9
15323246e37c46d
hex17365fa222221

408356802142753 has 2 divisors, whose sum is σ = 408356802142754. Its totient is φ = 408356802142752.

The previous prime is 408356802142693. The next prime is 408356802142819. The reversal of 408356802142753 is 357241208653804.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 223954307800609 + 184402494342144 = 14965103^2 + 13579488^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-408356802142753 is a prime.

It is a super-2 number, since 2×4083568021427532 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (408356802142153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204178401071376 + 204178401071377.

It is an arithmetic number, because the mean of its divisors is an integer number (204178401071377).

Almost surely, 2408356802142753 is an apocalyptic number.

It is an amenable number.

408356802142753 is a deficient number, since it is larger than the sum of its proper divisors (1).

408356802142753 is an equidigital number, since it uses as much as digits as its factorization.

408356802142753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38707200, while the sum is 58.

The spelling of 408356802142753 in words is "four hundred eight trillion, three hundred fifty-six billion, eight hundred two million, one hundred forty-two thousand, seven hundred fifty-three".