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114045246817 is a prime number
BaseRepresentation
bin110101000110110100…
…0000101110101100001
3101220101000020210210021
41222031220011311201
53332031040344232
6124220333233441
711145101413645
oct1521550056541
9356330223707
10114045246817
11444036289a7
121a129632881
13a9a6601388
14573c554c25
152e77309397
hex1a8da05d61

114045246817 has 2 divisors, whose sum is σ = 114045246818. Its totient is φ = 114045246816.

The previous prime is 114045246761. The next prime is 114045246857. The reversal of 114045246817 is 718642540411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106405787601 + 7639459216 = 326199^2 + 87404^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114045246817 is a prime.

It is not a weakly prime, because it can be changed into another prime (114045246857) 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, 57022623408 + 57022623409.

It is an arithmetic number, because the mean of its divisors is an integer number (57022623409).

Almost surely, 2114045246817 is an apocalyptic number.

It is an amenable number.

114045246817 is a deficient number, since it is larger than the sum of its proper divisors (1).

114045246817 is an equidigital number, since it uses as much as digits as its factorization.

114045246817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 114045246817 in words is "one hundred fourteen billion, forty-five million, two hundred forty-six thousand, eight hundred seventeen".