Search a number
-
+
914409313 is a prime number
BaseRepresentation
bin110110100000001…
…100011101100001
32100201121210202121
4312200030131201
53333042044223
6230422544241
731442231236
oct6640143541
92321553677
10914409313
1142a184284
12216298081
131175a01cc
148962b78d
155542615d
hex3680c761

914409313 has 2 divisors, whose sum is σ = 914409314. Its totient is φ = 914409312.

The previous prime is 914409281. The next prime is 914409323. The reversal of 914409313 is 313904419.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 913731984 + 677329 = 30228^2 + 823^2 .

It is a cyclic number.

It is not a de Polignac number, because 914409313 - 25 = 914409281 is a prime.

It is a super-2 number, since 2×9144093132 = 1672288783402263938, which contains 22 as substring.

It is equal to p46708423 and since 914409313 and 46708423 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (914409323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 457204656 + 457204657.

It is an arithmetic number, because the mean of its divisors is an integer number (457204657).

Almost surely, 2914409313 is an apocalyptic number.

It is an amenable number.

914409313 is a deficient number, since it is larger than the sum of its proper divisors (1).

914409313 is an equidigital number, since it uses as much as digits as its factorization.

914409313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 914409313 is about 30239.2015932961. The cubic root of 914409313 is about 970.6147352111.

The spelling of 914409313 in words is "nine hundred fourteen million, four hundred nine thousand, three hundred thirteen".