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14441616041 is a prime number
BaseRepresentation
bin11010111001100100…
…11001001010101001
31101021110110002220012
431130302121022221
5214034023203131
610345005541305
71020606465566
oct153462311251
941243402805
1014441616041
116140a08976
122970574835
131491c61748
149addd186d
15597cb752b
hex35cc992a9

14441616041 has 2 divisors, whose sum is σ = 14441616042. Its totient is φ = 14441616040.

The previous prime is 14441616031. The next prime is 14441616071. The reversal of 14441616041 is 14061614441.

14441616041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10265742400 + 4175873641 = 101320^2 + 64621^2 .

It is a cyclic number.

It is not a de Polignac number, because 14441616041 - 226 = 14374507177 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14441615989 and 14441616007.

It is not a weakly prime, because it can be changed into another prime (14441616031) 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, 7220808020 + 7220808021.

It is an arithmetic number, because the mean of its divisors is an integer number (7220808021).

Almost surely, 214441616041 is an apocalyptic number.

It is an amenable number.

14441616041 is a deficient number, since it is larger than the sum of its proper divisors (1).

14441616041 is an equidigital number, since it uses as much as digits as its factorization.

14441616041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 14441616041 in words is "fourteen billion, four hundred forty-one million, six hundred sixteen thousand, forty-one".