Search a number
-
+
14134734401 is a prime number
BaseRepresentation
bin11010010100111111…
…01110111001000001
31100111001222220102112
431022133232321001
5212421443000101
610254324225105
71010162155124
oct151237567101
940431886375
1014134734401
115aa3764187
1228a583b195
1314434c4588
1498134a3bb
1557ad996bb
hex34a7eee41

14134734401 has 2 divisors, whose sum is σ = 14134734402. Its totient is φ = 14134734400.

The previous prime is 14134734373. The next prime is 14134734403. The reversal of 14134734401 is 10443743141.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13961785600 + 172948801 = 118160^2 + 13151^2 .

It is a cyclic number.

It is not a de Polignac number, because 14134734401 - 218 = 14134472257 is a prime.

Together with 14134734403, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (14134734403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7067367200 + 7067367201.

It is an arithmetic number, because the mean of its divisors is an integer number (7067367201).

Almost surely, 214134734401 is an apocalyptic number.

It is an amenable number.

14134734401 is a deficient number, since it is larger than the sum of its proper divisors (1).

14134734401 is an equidigital number, since it uses as much as digits as its factorization.

14134734401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16128, while the sum is 32.

The spelling of 14134734401 in words is "fourteen billion, one hundred thirty-four million, seven hundred thirty-four thousand, four hundred one".