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114257835617 is a prime number
BaseRepresentation
bin110101001101001001…
…1000011011001100001
3101220220211021102210112
41222122103003121201
53333000001214432
6124253405541105
711153262402242
oct1523223033141
9356824242715
10114257835617
114450262a022
121a188874795
13aa0b675673
14575c892cc9
152e8aced7b2
hex1a9a4c3661

114257835617 has 2 divisors, whose sum is σ = 114257835618. Its totient is φ = 114257835616.

The previous prime is 114257835611. The next prime is 114257835631. The reversal of 114257835617 is 716538752411.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95862067456 + 18395768161 = 309616^2 + 135631^2 .

It is a cyclic number.

It is not a de Polignac number, because 114257835617 - 28 = 114257835361 is a prime.

It is not a weakly prime, because it can be changed into another prime (114257835611) 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, 57128917808 + 57128917809.

It is an arithmetic number, because the mean of its divisors is an integer number (57128917809).

Almost surely, 2114257835617 is an apocalyptic number.

It is an amenable number.

114257835617 is a deficient number, since it is larger than the sum of its proper divisors (1).

114257835617 is an equidigital number, since it uses as much as digits as its factorization.

114257835617 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1411200, while the sum is 50.

The spelling of 114257835617 in words is "one hundred fourteen billion, two hundred fifty-seven million, eight hundred thirty-five thousand, six hundred seventeen".