Search a number
-
+
409159169 is a prime number
BaseRepresentation
bin11000011000110…
…100011000000001
31001111220102212022
4120120310120001
51314221043134
6104333411225
713065536606
oct3030643001
91044812768
10409159169
1119aa61381
12b5039b15
13669ca523
143c4aa6ad
1525dc252e
hex18634601

409159169 has 2 divisors, whose sum is σ = 409159170. Its totient is φ = 409159168.

The previous prime is 409159133. The next prime is 409159171. The reversal of 409159169 is 961951904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 365268544 + 43890625 = 19112^2 + 6625^2 .

It is a cyclic number.

It is not a de Polignac number, because 409159169 - 224 = 392381953 is a prime.

It is a super-2 number, since 2×4091591692 = 334822451153541122, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 409159171, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (409159199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204579584 + 204579585.

It is an arithmetic number, because the mean of its divisors is an integer number (204579585).

Almost surely, 2409159169 is an apocalyptic number.

It is an amenable number.

409159169 is a deficient number, since it is larger than the sum of its proper divisors (1).

409159169 is an equidigital number, since it uses as much as digits as its factorization.

409159169 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 87480, while the sum is 44.

The square root of 409159169 is about 20227.6832336281. The cubic root of 409159169 is about 742.3876911459.

The spelling of 409159169 in words is "four hundred nine million, one hundred fifty-nine thousand, one hundred sixty-nine".