Search a number
-
+
2414312401 is a prime number
BaseRepresentation
bin1000111111100111…
…0111101111010001
320020020221202222211
42033321313233101
514421030444101
61035323032121
7113554213444
oct21771675721
96206852884
102414312401
1110298a8706
1257466b641
132c625a327
1418c90765b
15e1e51c51
hex8fe77bd1

2414312401 has 2 divisors, whose sum is σ = 2414312402. Its totient is φ = 2414312400.

The previous prime is 2414312393. The next prime is 2414312413. The reversal of 2414312401 is 1042134142.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2397081600 + 17230801 = 48960^2 + 4151^2 .

It is a cyclic number.

It is not a de Polignac number, because 2414312401 - 23 = 2414312393 is a prime.

It is not a weakly prime, because it can be changed into another prime (2414312431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1207156200 + 1207156201.

It is an arithmetic number, because the mean of its divisors is an integer number (1207156201).

Almost surely, 22414312401 is an apocalyptic number.

It is an amenable number.

2414312401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2414312401 is an equidigital number, since it uses as much as digits as its factorization.

2414312401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2414312401 is about 49135.6530535618. The cubic root of 2414312401 is about 1341.5220695695.

Adding to 2414312401 its reverse (1042134142), we get a palindrome (3456446543).

The spelling of 2414312401 in words is "two billion, four hundred fourteen million, three hundred twelve thousand, four hundred one".