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144044604313 is a prime number
BaseRepresentation
bin1000011000100110111…
…0100011101110011001
3111202210201100001210221
42012021232203232121
54330000404314223
6150101223440041
713256362635421
oct2061156435631
9452721301727
10144044604313
11560a8473235
1223b002b6021
13107777ccb9c
146d86873481
153b30d57b5d
hex2189ba3b99

144044604313 has 2 divisors, whose sum is σ = 144044604314. Its totient is φ = 144044604312.

The previous prime is 144044604311. The next prime is 144044604331. The reversal of 144044604313 is 313406440441.

144044604313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (144044604331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117191882889 + 26852721424 = 342333^2 + 163868^2 .

It is a cyclic number.

It is not a de Polignac number, because 144044604313 - 21 = 144044604311 is a prime.

Together with 144044604311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (144044604311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72022302156 + 72022302157.

It is an arithmetic number, because the mean of its divisors is an integer number (72022302157).

Almost surely, 2144044604313 is an apocalyptic number.

It is an amenable number.

144044604313 is a deficient number, since it is larger than the sum of its proper divisors (1).

144044604313 is an equidigital number, since it uses as much as digits as its factorization.

144044604313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 144044604313 in words is "one hundred forty-four billion, forty-four million, six hundred four thousand, three hundred thirteen".