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14141423129 is a prime number
BaseRepresentation
bin11010010101110010…
…01111111000011001
31100111112120201122012
431022321033320121
5212430201020004
610255123435305
71010303053601
oct151271177031
940445521565
1014141423129
115aa7512559
1228a7b25b35
1314449c6bc2
149821abc01
1557b76b46e
hex34ae4fe19

14141423129 has 2 divisors, whose sum is σ = 14141423130. Its totient is φ = 14141423128.

The previous prime is 14141423077. The next prime is 14141423141. The reversal of 14141423129 is 92132414141.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13076379904 + 1065043225 = 114352^2 + 32635^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14141423129 is a prime.

It is a super-2 number, since 2×141414231292 (a number of 21 digits) contains 22 as substring.

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 = 14141423095 and 14141423104.

It is not a weakly prime, because it can be changed into another prime (14141423629) 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, 7070711564 + 7070711565.

It is an arithmetic number, because the mean of its divisors is an integer number (7070711565).

Almost surely, 214141423129 is an apocalyptic number.

It is an amenable number.

14141423129 is a deficient number, since it is larger than the sum of its proper divisors (1).

14141423129 is an equidigital number, since it uses as much as digits as its factorization.

14141423129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6912, while the sum is 32.

The spelling of 14141423129 in words is "fourteen billion, one hundred forty-one million, four hundred twenty-three thousand, one hundred twenty-nine".