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2414611313 is a prime number
BaseRepresentation
bin1000111111101100…
…0000101101110001
320020021111222000122
42033323000231301
514421120030223
61035333300025
7113556600062
oct21773005561
96207458018
102414611313
111029a92244
12574794615
132c63333ba
1418c984569
15e1eb05c8
hex8fec0b71

2414611313 has 2 divisors, whose sum is σ = 2414611314. Its totient is φ = 2414611312.

The previous prime is 2414611301. The next prime is 2414611321. The reversal of 2414611313 is 3131164142.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2413462129 + 1149184 = 49127^2 + 1072^2 .

It is a cyclic number.

It is not a de Polignac number, because 2414611313 - 226 = 2347502449 is a prime.

It is not a weakly prime, because it can be changed into another prime (2414611513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1207305656 + 1207305657.

It is an arithmetic number, because the mean of its divisors is an integer number (1207305657).

Almost surely, 22414611313 is an apocalyptic number.

It is an amenable number.

2414611313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2414611313 is an equidigital number, since it uses as much as digits as its factorization.

2414611313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 26.

The square root of 2414611313 is about 49138.6946611324. The cubic root of 2414611313 is about 1341.5774311563.

Adding to 2414611313 its reverse (3131164142), we get a palindrome (5545775455).

The spelling of 2414611313 in words is "two billion, four hundred fourteen million, six hundred eleven thousand, three hundred thirteen".