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14337174013 is a prime number
BaseRepresentation
bin11010101101000111…
…11110100111111101
31101000011220220100221
431112203332213331
5213330304032023
610330355221341
71015200653101
oct152643764775
941004826327
1014337174013
116097a63048
1229415a7851
131476424126
149a01a5901
1558da3685d
hex3568fe9fd

14337174013 has 2 divisors, whose sum is σ = 14337174014. Its totient is φ = 14337174012.

The previous prime is 14337173969. The next prime is 14337174029. The reversal of 14337174013 is 31047173341.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11398124644 + 2939049369 = 106762^2 + 54213^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14337174013 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14337174013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (14337174073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7168587006 + 7168587007.

It is an arithmetic number, because the mean of its divisors is an integer number (7168587007).

Almost surely, 214337174013 is an apocalyptic number.

It is an amenable number.

14337174013 is a deficient number, since it is larger than the sum of its proper divisors (1).

14337174013 is an equidigital number, since it uses as much as digits as its factorization.

14337174013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21168, while the sum is 34.

The spelling of 14337174013 in words is "fourteen billion, three hundred thirty-seven million, one hundred seventy-four thousand, thirteen".