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404024250405137 is a prime number
BaseRepresentation
bin101101111011101010011100…
…1111011010001000100010001
31221222112100012200101001001012
41123313110321323101010101
5410424013131100431022
63551142102303220305
7151046534364656165
oct13367247173210421
91858470180331035
10404024250405137
111078097a45105aa
1239392733ba7695
131445942849772b
1471aac41566ca5
1531a98e808dde2
hex16f7539ed1111

404024250405137 has 2 divisors, whose sum is σ = 404024250405138. Its totient is φ = 404024250405136.

The previous prime is 404024250405079. The next prime is 404024250405187. The reversal of 404024250405137 is 731504052420404.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 391634244642001 + 12390005763136 = 19789751^2 + 3519944^2 .

It is a cyclic number.

It is not a de Polignac number, because 404024250405137 - 226 = 404024183296273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 404024250405094 and 404024250405103.

It is not a weakly prime, because it can be changed into another prime (404024250405187) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202012125202568 + 202012125202569.

It is an arithmetic number, because the mean of its divisors is an integer number (202012125202569).

Almost surely, 2404024250405137 is an apocalyptic number.

It is an amenable number.

404024250405137 is a deficient number, since it is larger than the sum of its proper divisors (1).

404024250405137 is an equidigital number, since it uses as much as digits as its factorization.

404024250405137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 537600, while the sum is 41.

The spelling of 404024250405137 in words is "four hundred four trillion, twenty-four billion, two hundred fifty million, four hundred five thousand, one hundred thirty-seven".