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241555314431441 is a prime number
BaseRepresentation
bin110110111011000101111010…
…101101011101010111010001
31011200021110111012001110122102
4312323011322231131113101
5223130120240443301231
62213424551323450145
7101610536606044013
oct6673057255352721
91150243435043572
10241555314431441
116aa7004073185a
1223113056086955
13a4a2750a4cc3a
1443914a7c0a1b3
151cdd61c361acb
hexdbb17ab5d5d1

241555314431441 has 2 divisors, whose sum is σ = 241555314431442. Its totient is φ = 241555314431440.

The previous prime is 241555314431411. The next prime is 241555314431467. The reversal of 241555314431441 is 144134413555142.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210131116810000 + 31424197621441 = 14495900^2 + 5605729^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-241555314431441 is a prime.

It is not a weakly prime, because it can be changed into another prime (241555314431401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120777657215720 + 120777657215721.

It is an arithmetic number, because the mean of its divisors is an integer number (120777657215721).

Almost surely, 2241555314431441 is an apocalyptic number.

It is an amenable number.

241555314431441 is a deficient number, since it is larger than the sum of its proper divisors (1).

241555314431441 is an equidigital number, since it uses as much as digits as its factorization.

241555314431441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2304000, while the sum is 47.

Adding to 241555314431441 its reverse (144134413555142), we get a palindrome (385689727986583).

The spelling of 241555314431441 in words is "two hundred forty-one trillion, five hundred fifty-five billion, three hundred fourteen million, four hundred thirty-one thousand, four hundred forty-one".