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14046636313 is a prime number
BaseRepresentation
bin11010001010011111…
…01010100100011001
31100020221020001120101
431011033222210121
5212231414330223
610241500055401
71005042303313
oct150517524431
940227201511
1014046636313
115a58a61846
122880234561
13142b18a228
149737767b3
155732964ad
hex3453ea919

14046636313 has 2 divisors, whose sum is σ = 14046636314. Its totient is φ = 14046636312.

The previous prime is 14046636239. The next prime is 14046636349. The reversal of 14046636313 is 31363664041.

14046636313 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., 10282568409 + 3764067904 = 101403^2 + 61352^2 .

It is a cyclic number.

It is not a de Polignac number, because 14046636313 - 213 = 14046628121 is a prime.

It is a super-6 number, since 6×140466363136 (a number of 62 digits) contains 666666 as substring.

It is not a weakly prime, because it can be changed into another prime (14046636013) 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, 7023318156 + 7023318157.

It is an arithmetic number, because the mean of its divisors is an integer number (7023318157).

Almost surely, 214046636313 is an apocalyptic number.

It is an amenable number.

14046636313 is a deficient number, since it is larger than the sum of its proper divisors (1).

14046636313 is an equidigital number, since it uses as much as digits as its factorization.

14046636313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 93312, while the sum is 37.

The spelling of 14046636313 in words is "fourteen billion, forty-six million, six hundred thirty-six thousand, three hundred thirteen".