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241644264161 is a prime number
BaseRepresentation
bin1110000100001100011…
…1101101101011100001
3212002201121022111101112
43201003013231223201
512424341412423121
6303002043113105
723313112232606
oct3410307555341
9762647274345
10241644264161
1193531984243
123a9ba212795
1319a2cc34bc1
14b9a4bc66ad
1564444a075b
hex38431edae1

241644264161 has 2 divisors, whose sum is σ = 241644264162. Its totient is φ = 241644264160.

The previous prime is 241644264031. The next prime is 241644264187. The reversal of 241644264161 is 161462446142.

241644264161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 126767329936 + 114876934225 = 356044^2 + 338935^2 .

It is a cyclic number.

It is not a de Polignac number, because 241644264161 - 210 = 241644263137 is a prime.

It is a super-2 number, since 2×2416442641612 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (241644264461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120822132080 + 120822132081.

It is an arithmetic number, because the mean of its divisors is an integer number (120822132081).

Almost surely, 2241644264161 is an apocalyptic number.

It is an amenable number.

241644264161 is a deficient number, since it is larger than the sum of its proper divisors (1).

241644264161 is an equidigital number, since it uses as much as digits as its factorization.

241644264161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 221184, while the sum is 41.

The spelling of 241644264161 in words is "two hundred forty-one billion, six hundred forty-four million, two hundred sixty-four thousand, one hundred sixty-one".