Search a number
-
+
14311140577 is a prime number
BaseRepresentation
bin11010101010000001…
…01010110011100001
31100221100221021012121
431111000222303201
5213302122444302
610324025224241
71014433454626
oct152500526341
940840837177
1014311140577
1160842a1808
122934932081
131470c0a726
1499a94a34d
1558b5e2e37
hex35502ace1

14311140577 has 2 divisors, whose sum is σ = 14311140578. Its totient is φ = 14311140576.

The previous prime is 14311140563. The next prime is 14311140581. The reversal of 14311140577 is 77504111341.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12917686336 + 1393454241 = 113656^2 + 37329^2 .

It is a cyclic number.

It is not a de Polignac number, because 14311140577 - 27 = 14311140449 is a prime.

It is a super-2 number, since 2×143111405772 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (14311540577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7155570288 + 7155570289.

It is an arithmetic number, because the mean of its divisors is an integer number (7155570289).

Almost surely, 214311140577 is an apocalyptic number.

It is an amenable number.

14311140577 is a deficient number, since it is larger than the sum of its proper divisors (1).

14311140577 is an equidigital number, since it uses as much as digits as its factorization.

14311140577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11760, while the sum is 34.

The spelling of 14311140577 in words is "fourteen billion, three hundred eleven million, one hundred forty thousand, five hundred seventy-seven".