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114054416369 is a prime number
BaseRepresentation
bin110101000111000101…
…1000100011111110001
3101220101122111200001022
41222032023010133301
53332040412310434
6124221301545225
711145242354225
oct1521613043761
9356348450038
10114054416369
1144408821143
121a130715215
13a9a8491c4a
14573d860785
152e7801b22e
hex1a8e2c47f1

114054416369 has 2 divisors, whose sum is σ = 114054416370. Its totient is φ = 114054416368.

The previous prime is 114054416279. The next prime is 114054416381. The reversal of 114054416369 is 963614450411.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81270606400 + 32783809969 = 285080^2 + 181063^2 .

It is an emirp because it is prime and its reverse (963614450411) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 114054416369 - 220 = 114053367793 is a prime.

It is a super-2 number, since 2×1140544163692 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (114054416669) 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, 57027208184 + 57027208185.

It is an arithmetic number, because the mean of its divisors is an integer number (57027208185).

Almost surely, 2114054416369 is an apocalyptic number.

It is an amenable number.

114054416369 is a deficient number, since it is larger than the sum of its proper divisors (1).

114054416369 is an equidigital number, since it uses as much as digits as its factorization.

114054416369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 114054416369 in words is "one hundred fourteen billion, fifty-four million, four hundred sixteen thousand, three hundred sixty-nine".