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114414442112317 is a prime number
BaseRepresentation
bin11010000000111100110000…
…001011011110010100111101
3120000002220200012012011200211
4122000330300023132110331
5104444031234140043232
61043201134042352421
733046112351410504
oct3200746013362475
9500086605164624
10114414442112317
113350198a880976
12109ba3511bb711
134bac30a7b17c9
14203798d52383b
15d362aee2aa47
hex680f302de53d

114414442112317 has 2 divisors, whose sum is σ = 114414442112318. Its totient is φ = 114414442112316.

The previous prime is 114414442112209. The next prime is 114414442112353. The reversal of 114414442112317 is 713211244414411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95652194677636 + 18762247434681 = 9780194^2 + 4331541^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114414442112317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114414442112317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114414442112017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57207221056158 + 57207221056159.

It is an arithmetic number, because the mean of its divisors is an integer number (57207221056159).

Almost surely, 2114414442112317 is an apocalyptic number.

It is an amenable number.

114414442112317 is a deficient number, since it is larger than the sum of its proper divisors (1).

114414442112317 is an equidigital number, since it uses as much as digits as its factorization.

114414442112317 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 86016, while the sum is 40.

Adding to 114414442112317 its reverse (713211244414411), we get a palindrome (827625686526728).

The spelling of 114414442112317 in words is "one hundred fourteen trillion, four hundred fourteen billion, four hundred forty-two million, one hundred twelve thousand, three hundred seventeen".