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144242124081361 is a prime number
BaseRepresentation
bin100000110010111111111100…
…100100010100100011010001
3200220201102010122002222101021
4200302333330210110203101
5122401230332231100421
61230435530024235441
742245102205032065
oct4062777444244321
9626642118088337
10144242124081361
1141a61817728899
121421710b60bb81
136263c8797a717
1427894db033aa5
1511a2106b25341
hex832ffc9148d1

144242124081361 has 2 divisors, whose sum is σ = 144242124081362. Its totient is φ = 144242124081360.

The previous prime is 144242124081317. The next prime is 144242124081379. The reversal of 144242124081361 is 163180421242441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83119123746961 + 61123000334400 = 9116969^2 + 7818120^2 .

It is a cyclic number.

It is not a de Polignac number, because 144242124081361 - 217 = 144242123950289 is a prime.

It is a super-2 number, since 2×1442421240813612 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (144242124081161) 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, 72121062040680 + 72121062040681.

It is an arithmetic number, because the mean of its divisors is an integer number (72121062040681).

Almost surely, 2144242124081361 is an apocalyptic number.

It is an amenable number.

144242124081361 is a deficient number, since it is larger than the sum of its proper divisors (1).

144242124081361 is an equidigital number, since it uses as much as digits as its factorization.

144242124081361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 294912, while the sum is 43.

The spelling of 144242124081361 in words is "one hundred forty-four trillion, two hundred forty-two billion, one hundred twenty-four million, eighty-one thousand, three hundred sixty-one".