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2114440513349 is a prime number
BaseRepresentation
bin11110110001001110011…
…110011100011101000101
321111010201222212021111112
4132301032132130131011
5234120333232411344
64255205514214405
7305522543550413
oct36611636343505
97433658767445
102114440513349
1174580260133a
122a1961a24405
13124510a0a668
14744a76d62b3
153a004d62c9e
hex1ec4e79c745

2114440513349 has 2 divisors, whose sum is σ = 2114440513350. Its totient is φ = 2114440513348.

The previous prime is 2114440513057. The next prime is 2114440513373. The reversal of 2114440513349 is 9433150444112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1777248928225 + 337191585124 = 1333135^2 + 580682^2 .

It is a cyclic number.

It is not a de Polignac number, because 2114440513349 - 236 = 2045721036613 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2114440513049) 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, 1057220256674 + 1057220256675.

It is an arithmetic number, because the mean of its divisors is an integer number (1057220256675).

Almost surely, 22114440513349 is an apocalyptic number.

It is an amenable number.

2114440513349 is a deficient number, since it is larger than the sum of its proper divisors (1).

2114440513349 is an equidigital number, since it uses as much as digits as its factorization.

2114440513349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 2114440513349 in words is "two trillion, one hundred fourteen billion, four hundred forty million, five hundred thirteen thousand, three hundred forty-nine".