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241426305554561 is a prime number
BaseRepresentation
bin110110111001001101110001…
…001011101001100010000001
31011122211010111100002111100022
4312321031301023221202001
5223121012033210221221
62213245414051503225
7101565321625506311
oct6671156113514201
91148733440074308
10241426305554561
116aa20359573146
12230b20512b7b15
13a4935312c7cba
14438914a21b441
151cda0bb5294ab
hexdb93712e9881

241426305554561 has 2 divisors, whose sum is σ = 241426305554562. Its totient is φ = 241426305554560.

The previous prime is 241426305554491. The next prime is 241426305554671. The reversal of 241426305554561 is 165455503624142.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 224655282135025 + 16771023419536 = 14988505^2 + 4095244^2 .

It is a cyclic number.

It is not a de Polignac number, because 241426305554561 - 214 = 241426305538177 is a prime.

It is a super-5 number, since 5×2414263055545615 (a number of 73 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (241426305553561) 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, 120713152777280 + 120713152777281.

It is an arithmetic number, because the mean of its divisors is an integer number (120713152777281).

Almost surely, 2241426305554561 is an apocalyptic number.

It is an amenable number.

241426305554561 is a deficient number, since it is larger than the sum of its proper divisors (1).

241426305554561 is an equidigital number, since it uses as much as digits as its factorization.

241426305554561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280000, while the sum is 53.

The spelling of 241426305554561 in words is "two hundred forty-one trillion, four hundred twenty-six billion, three hundred five million, five hundred fifty-four thousand, five hundred sixty-one".