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114240021689 is a prime number
BaseRepresentation
bin110101001100100111…
…1000110010010111001
3101220212120202101200102
41222121033012102321
53332430421143224
6124251532045145
711152655106503
oct1523117062271
9356776671612
10114240021689
11444a3572172
121a1829037b5
13aa07a79291
14575a376d73
152e894804ae
hex1a993c64b9

114240021689 has 2 divisors, whose sum is σ = 114240021690. Its totient is φ = 114240021688.

The previous prime is 114240021653. The next prime is 114240021691. The reversal of 114240021689 is 986120042411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110592828025 + 3647193664 = 332555^2 + 60392^2 .

It is a cyclic number.

It is not a de Polignac number, because 114240021689 - 220 = 114238973113 is a prime.

Together with 114240021691, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (114240021629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57120010844 + 57120010845.

It is an arithmetic number, because the mean of its divisors is an integer number (57120010845).

Almost surely, 2114240021689 is an apocalyptic number.

It is an amenable number.

114240021689 is a deficient number, since it is larger than the sum of its proper divisors (1).

114240021689 is an equidigital number, since it uses as much as digits as its factorization.

114240021689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27648, while the sum is 38.

The spelling of 114240021689 in words is "one hundred fourteen billion, two hundred forty million, twenty-one thousand, six hundred eighty-nine".