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114642268577 is a prime number
BaseRepresentation
bin110101011000100110…
…1100011000110100001
3101221220121122122200022
41222301031203012201
53334241410043302
6124355501403225
711165641130114
oct1526115430641
9357817578608
10114642268577
114468a632211
121a275569515
13aa701c64a5
14579796457b
152eae9398a2
hex1ab13631a1

114642268577 has 2 divisors, whose sum is σ = 114642268578. Its totient is φ = 114642268576.

The previous prime is 114642268561. The next prime is 114642268583. The reversal of 114642268577 is 775862246411.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113359482721 + 1282785856 = 336689^2 + 35816^2 .

It is a cyclic number.

It is not a de Polignac number, because 114642268577 - 24 = 114642268561 is a prime.

It is not a weakly prime, because it can be changed into another prime (114642268177) 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, 57321134288 + 57321134289.

It is an arithmetic number, because the mean of its divisors is an integer number (57321134289).

Almost surely, 2114642268577 is an apocalyptic number.

It is an amenable number.

114642268577 is a deficient number, since it is larger than the sum of its proper divisors (1).

114642268577 is an equidigital number, since it uses as much as digits as its factorization.

114642268577 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4515840, while the sum is 53.

The spelling of 114642268577 in words is "one hundred fourteen billion, six hundred forty-two million, two hundred sixty-eight thousand, five hundred seventy-seven".