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144440634164329 is a prime number
BaseRepresentation
bin100000110101111000110100…
…101100001100010001101001
3200221102101112010212000221101
4200311320310230030101221
5122413003404321224304
61231111040012241401
742265330364634466
oct4065706454142151
9627371463760841
10144440634164329
1142028a244762a8
1214249690170261
1362799023c7b89
142794d6d2b866d
1511a73743928a4
hex835e34b0c469

144440634164329 has 2 divisors, whose sum is σ = 144440634164330. Its totient is φ = 144440634164328.

The previous prime is 144440634164317. The next prime is 144440634164341. The reversal of 144440634164329 is 923461436044441.

It is a balanced prime because it is at equal distance from previous prime (144440634164317) and next prime (144440634164341).

It can be written as a sum of positive squares in only one way, i.e., 142247723365225 + 2192910799104 = 11926765^2 + 1480848^2 .

It is a cyclic number.

It is not a de Polignac number, because 144440634164329 - 27 = 144440634164201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144440634164329.

It is not a weakly prime, because it can be changed into another prime (144440634164929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72220317082164 + 72220317082165.

It is an arithmetic number, because the mean of its divisors is an integer number (72220317082165).

Almost surely, 2144440634164329 is an apocalyptic number.

It is an amenable number.

144440634164329 is a deficient number, since it is larger than the sum of its proper divisors (1).

144440634164329 is an equidigital number, since it uses as much as digits as its factorization.

144440634164329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23887872, while the sum is 55.

The spelling of 144440634164329 in words is "one hundred forty-four trillion, four hundred forty billion, six hundred thirty-four million, one hundred sixty-four thousand, three hundred twenty-nine".