Search a number
-
+
241541030624657 is a prime number
BaseRepresentation
bin110110111010111000100111…
…010101000011110110010001
31011200020002121201112220100112
4312322320213111003312101
5223124402012314442112
62213414230112131105
7101606522623511321
oct6672704725036621
91150202551486315
10241541030624657
116aa64a8090a365
122311032a536a95
13a4a12b56c2a6a
144390910b77281
151cdd08336ca22
hexdbae27543d91

241541030624657 has 2 divisors, whose sum is σ = 241541030624658. Its totient is φ = 241541030624656.

The previous prime is 241541030624639. The next prime is 241541030624659. The reversal of 241541030624657 is 756426030145142.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201500977570816 + 40040053053841 = 14195104^2 + 6327721^2 .

It is a cyclic number.

It is not a de Polignac number, because 241541030624657 - 238 = 241266152717713 is a prime.

It is a super-3 number, since 3×2415410306246573 (a number of 44 digits) contains 333 as substring.

Together with 241541030624659, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (241541030624659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 120770515312328 + 120770515312329.

It is an arithmetic number, because the mean of its divisors is an integer number (120770515312329).

Almost surely, 2241541030624657 is an apocalyptic number.

It is an amenable number.

241541030624657 is a deficient number, since it is larger than the sum of its proper divisors (1).

241541030624657 is an equidigital number, since it uses as much as digits as its factorization.

241541030624657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4838400, while the sum is 50.

Adding to 241541030624657 its reverse (756426030145142), we get a palindrome (997967060769799).

The spelling of 241541030624657 in words is "two hundred forty-one trillion, five hundred forty-one billion, thirty million, six hundred twenty-four thousand, six hundred fifty-seven".