Search a number
-
+
114044367257 is a prime number
BaseRepresentation
bin110101000110110010…
…0101111000110011001
3101220100221121010020222
41222031210233012121
53332030324223012
6124220302325425
711145061061432
oct1521544570631
9356327533228
10114044367257
1144403088097
121a129289875
13a9a6383c22
14573c3a6489
152e771d3972
hex1a8d92f199

114044367257 has 2 divisors, whose sum is σ = 114044367258. Its totient is φ = 114044367256.

The previous prime is 114044367193. The next prime is 114044367331. The reversal of 114044367257 is 752763440411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103570686976 + 10473680281 = 321824^2 + 102341^2 .

It is a cyclic number.

It is not a de Polignac number, because 114044367257 - 26 = 114044367193 is a prime.

It is a super-2 number, since 2×1140443672572 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (114044364257) 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, 57022183628 + 57022183629.

It is an arithmetic number, because the mean of its divisors is an integer number (57022183629).

Almost surely, 2114044367257 is an apocalyptic number.

It is an amenable number.

114044367257 is a deficient number, since it is larger than the sum of its proper divisors (1).

114044367257 is an equidigital number, since it uses as much as digits as its factorization.

114044367257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 114044367257 in words is "one hundred fourteen billion, forty-four million, three hundred sixty-seven thousand, two hundred fifty-seven".