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2014304246329 is a prime number
BaseRepresentation
bin11101010011111101111…
…000111001101000111001
321010120021022210212001011
4131103331320321220321
5231000243341340304
64141205242353521
7265346223410104
oct35237570715071
97116238725034
102014304246329
11707297263871
122864764bb8a1
13117c42bc9a5b
146d6c852373b
15375e3bacc04
hex1d4fde39a39

2014304246329 has 2 divisors, whose sum is σ = 2014304246330. Its totient is φ = 2014304246328.

The previous prime is 2014304246291. The next prime is 2014304246347. The reversal of 2014304246329 is 9236424034102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1704194480704 + 310109765625 = 1305448^2 + 556875^2 .

It is a cyclic number.

It is not a de Polignac number, because 2014304246329 - 225 = 2014270691897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2014304246291 and 2014304246300.

It is not a weakly prime, because it can be changed into another prime (2014304246399) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1007152123164 + 1007152123165.

It is an arithmetic number, because the mean of its divisors is an integer number (1007152123165).

Almost surely, 22014304246329 is an apocalyptic number.

It is an amenable number.

2014304246329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2014304246329 is an equidigital number, since it uses as much as digits as its factorization.

2014304246329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 40.

The spelling of 2014304246329 in words is "two trillion, fourteen billion, three hundred four million, two hundred forty-six thousand, three hundred twenty-nine".