Search a number
-
+
114642530753 is a prime number
BaseRepresentation
bin110101011000100111…
…0100011000111000001
3101221220122010222022112
41222301032203013001
53334241441441003
6124355511145105
711165643301352
oct1526116430701
9357818128275
10114642530753
114468a7a1193
121a275675195
13aa7028891a
1457979d1d29
152eae98c3d8
hex1ab13a31c1

114642530753 has 2 divisors, whose sum is σ = 114642530754. Its totient is φ = 114642530752.

The previous prime is 114642530683. The next prime is 114642530789. The reversal of 114642530753 is 357035246411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110125749904 + 4516780849 = 331852^2 + 67207^2 .

It is a cyclic number.

It is not a de Polignac number, because 114642530753 - 212 = 114642526657 is a prime.

It is a super-3 number, since 3×1146425307533 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114642530753.

It is not a weakly prime, because it can be changed into another prime (114642530153) 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, 57321265376 + 57321265377.

It is an arithmetic number, because the mean of its divisors is an integer number (57321265377).

Almost surely, 2114642530753 is an apocalyptic number.

It is an amenable number.

114642530753 is a deficient number, since it is larger than the sum of its proper divisors (1).

114642530753 is an equidigital number, since it uses as much as digits as its factorization.

114642530753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 114642530753 in words is "one hundred fourteen billion, six hundred forty-two million, five hundred thirty thousand, seven hundred fifty-three".