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241143013404329 is a prime number
BaseRepresentation
bin110110110101000101111011…
…101001110110111010101001
31011121211001021012221011201212
4312311011323221312322221
5223101341342412414304
62212511323201522505
7101536002446121131
oct6665057351667251
91147731235834655
10241143013404329
116a9211a5532753
122306716b343435
13a4728c4aac93a
144379554069ac1
151cd2a3aa8466e
hexdb517ba76ea9

241143013404329 has 2 divisors, whose sum is σ = 241143013404330. Its totient is φ = 241143013404328.

The previous prime is 241143013404247. The next prime is 241143013404427. The reversal of 241143013404329 is 923404310341142.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188292323461225 + 52850689943104 = 13721965^2 + 7269848^2 .

It is a cyclic number.

It is not a de Polignac number, because 241143013404329 - 244 = 223550827359913 is a prime.

It is not a weakly prime, because it can be changed into another prime (241143013406329) 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, 120571506702164 + 120571506702165.

It is an arithmetic number, because the mean of its divisors is an integer number (120571506702165).

Almost surely, 2241143013404329 is an apocalyptic number.

It is an amenable number.

241143013404329 is a deficient number, since it is larger than the sum of its proper divisors (1).

241143013404329 is an equidigital number, since it uses as much as digits as its factorization.

241143013404329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 241143013404329 in words is "two hundred forty-one trillion, one hundred forty-three billion, thirteen million, four hundred four thousand, three hundred twenty-nine".