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14005114349 is a prime number
BaseRepresentation
bin11010000101100010…
…10001010111101101
31100011001002112010212
431002301101113231
5212140302124344
610233414112205
71004026336112
oct150261212755
940131075125
1014005114349
115a37581776
12286a34b665
1314226aca15
1496c048909
1556e7e379e
hex342c515ed

14005114349 has 2 divisors, whose sum is σ = 14005114350. Its totient is φ = 14005114348.

The previous prime is 14005114327. The next prime is 14005114363. The reversal of 14005114349 is 94341150041.

14005114349 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13663973449 + 341140900 = 116893^2 + 18470^2 .

It is a cyclic number.

It is not a de Polignac number, because 14005114349 - 28 = 14005114093 is a prime.

It is a super-2 number, since 2×140051143492 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (14005111349) 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, 7002557174 + 7002557175.

It is an arithmetic number, because the mean of its divisors is an integer number (7002557175).

Almost surely, 214005114349 is an apocalyptic number.

It is an amenable number.

14005114349 is a deficient number, since it is larger than the sum of its proper divisors (1).

14005114349 is an equidigital number, since it uses as much as digits as its factorization.

14005114349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 14005114349 in words is "fourteen billion, five million, one hundred fourteen thousand, three hundred forty-nine".