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240553130330041 is a prime number
BaseRepresentation
bin110110101100100000100011…
…111000100000011110111001
31011112201122200020212012021221
4312230200203320200132321
5223012210302331030131
62211340325452232041
7101445250550533264
oct6654404370403671
91145648606765257
10240553130330041
116a714011956191
1222b9098476b621
13a42c0a812b409
144358b956a3cdb
151cc2513ebe411
hexdac823e207b9

240553130330041 has 2 divisors, whose sum is σ = 240553130330042. Its totient is φ = 240553130330040.

The previous prime is 240553130329987. The next prime is 240553130330059. The reversal of 240553130330041 is 140033031355042.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 204879746131641 + 35673384198400 = 14313621^2 + 5972720^2 .

It is a cyclic number.

It is not a de Polignac number, because 240553130330041 - 219 = 240553129805753 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 240553130329979 and 240553130330006.

It is not a weakly prime, because it can be changed into another prime (240553130330341) 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, 120276565165020 + 120276565165021.

It is an arithmetic number, because the mean of its divisors is an integer number (120276565165021).

Almost surely, 2240553130330041 is an apocalyptic number.

It is an amenable number.

240553130330041 is a deficient number, since it is larger than the sum of its proper divisors (1).

240553130330041 is an equidigital number, since it uses as much as digits as its factorization.

240553130330041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64800, while the sum is 34.

Adding to 240553130330041 its reverse (140033031355042), we get a palindrome (380586161685083).

The spelling of 240553130330041 in words is "two hundred forty trillion, five hundred fifty-three billion, one hundred thirty million, three hundred thirty thousand, forty-one".