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14214310400429 is a prime number
BaseRepresentation
bin1100111011011000011011…
…1011000001000110101101
31212022212121201202022011122
43032312012323001012231
53330341401430303204
650121544122430325
72664643601610446
oct316660673010655
955285551668148
1014214310400429
1145902897224a7
1217169b39623a5
137c1532c81989
14371d94d462cd
15199b3086b0be
hexced86ec11ad

14214310400429 has 2 divisors, whose sum is σ = 14214310400430. Its totient is φ = 14214310400428.

The previous prime is 14214310400333. The next prime is 14214310400447. The reversal of 14214310400429 is 92400401341241.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14017461120100 + 196849280329 = 3743990^2 + 443677^2 .

It is a cyclic number.

It is not a de Polignac number, because 14214310400429 - 224 = 14214293623213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (14214310100429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7107155200214 + 7107155200215.

It is an arithmetic number, because the mean of its divisors is an integer number (7107155200215).

Almost surely, 214214310400429 is an apocalyptic number.

It is an amenable number.

14214310400429 is a deficient number, since it is larger than the sum of its proper divisors (1).

14214310400429 is an equidigital number, since it uses as much as digits as its factorization.

14214310400429 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 35.

The spelling of 14214310400429 in words is "fourteen trillion, two hundred fourteen billion, three hundred ten million, four hundred thousand, four hundred twenty-nine".