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144326505623441 is a prime number
BaseRepresentation
bin100000110100001110100010…
…000110010110111110010001
3200221000110221022212110011112
4200310032202012112332101
5122404121140414422231
61230542403101423105
742254150232224621
oct4064164206267621
9627013838773145
10144326505623441
1141a94588927329
121422b53a86aa95
13626bc14781c8b
14278d623a80881
1511a43e4ad392b
hex8343a2196f91

144326505623441 has 2 divisors, whose sum is σ = 144326505623442. Its totient is φ = 144326505623440.

The previous prime is 144326505623431. The next prime is 144326505623473.

144326505623441 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92749978001041 + 51576527622400 = 9630679^2 + 7181680^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 144326505623441 - 234 = 144309325754257 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 144326505623441.

It is not a weakly prime, because it can be changed into another prime (144326505623411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72163252811720 + 72163252811721.

It is an arithmetic number, because the mean of its divisors is an integer number (72163252811721).

Almost surely, 2144326505623441 is an apocalyptic number.

It is an amenable number.

144326505623441 is a deficient number, since it is larger than the sum of its proper divisors (1).

144326505623441 is an equidigital number, since it uses as much as digits as its factorization.

144326505623441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8294400, while the sum is 50.

The spelling of 144326505623441 in words is "one hundred forty-four trillion, three hundred twenty-six billion, five hundred five million, six hundred twenty-three thousand, four hundred forty-one".