Search a number
-
+
115744248353 is a prime number
BaseRepresentation
bin110101111001011100…
…1010001001000100001
3102001202102020000202002
41223302321101020201
53344021011421403
6125101104533345
711235151610126
oct1536271211041
9361672200662
10115744248353
11450a56799a8
121a522621255
13abb75bb326
14586005a74d
153026562188
hex1af2e51221

115744248353 has 2 divisors, whose sum is σ = 115744248354. Its totient is φ = 115744248352.

The previous prime is 115744248341. The next prime is 115744248419. The reversal of 115744248353 is 353842447511.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74577055744 + 41167192609 = 273088^2 + 202897^2 .

It is a cyclic number.

It is not a de Polignac number, because 115744248353 - 26 = 115744248289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 115744248298 and 115744248307.

It is not a weakly prime, because it can be changed into another prime (115744248313) 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, 57872124176 + 57872124177.

It is an arithmetic number, because the mean of its divisors is an integer number (57872124177).

Almost surely, 2115744248353 is an apocalyptic number.

It is an amenable number.

115744248353 is a deficient number, since it is larger than the sum of its proper divisors (1).

115744248353 is an equidigital number, since it uses as much as digits as its factorization.

115744248353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1612800, while the sum is 47.

The spelling of 115744248353 in words is "one hundred fifteen billion, seven hundred forty-four million, two hundred forty-eight thousand, three hundred fifty-three".