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14100037729 is a prime number
BaseRepresentation
bin11010010000110110…
…11000000001100001
31100101122201010112121
431020123120001201
5212334102201404
610251044424241
71006261225501
oct151033300141
940348633477
1014100037729
115a86116048
1228960a8081
1314392668bb
1497a8b7a01
15577ce3e54
hex3486d8061

14100037729 has 2 divisors, whose sum is σ = 14100037730. Its totient is φ = 14100037728.

The previous prime is 14100037697. The next prime is 14100037733. The reversal of 14100037729 is 92773000141.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9907216225 + 4192821504 = 99535^2 + 64752^2 .

It is a cyclic number.

It is not a de Polignac number, because 14100037729 - 25 = 14100037697 is a prime.

It is a super-2 number, since 2×141000377292 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14100037694 and 14100037703.

It is not a weakly prime, because it can be changed into another prime (14100037129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7050018864 + 7050018865.

It is an arithmetic number, because the mean of its divisors is an integer number (7050018865).

Almost surely, 214100037729 is an apocalyptic number.

It is an amenable number.

14100037729 is a deficient number, since it is larger than the sum of its proper divisors (1).

14100037729 is an equidigital number, since it uses as much as digits as its factorization.

14100037729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10584, while the sum is 34.

The spelling of 14100037729 in words is "fourteen billion, one hundred million, thirty-seven thousand, seven hundred twenty-nine".