Search a number
-
+
241240401121189 is a prime number
BaseRepresentation
bin110110110110100000101000…
…011010100000111110100101
31011122011100122100002210012011
4312312200220122200332211
5223104440320141334224
62213024151010354221
7101546021013056611
oct6666405032407645
91148140570083164
10241240401121189
116a959530343868
122308200a28b971
13a47bb453385c2
1443801521ac341
151cd533a7b4394
hexdb68286a0fa5

241240401121189 has 2 divisors, whose sum is σ = 241240401121190. Its totient is φ = 241240401121188.

The previous prime is 241240401121163. The next prime is 241240401121301. The reversal of 241240401121189 is 981121104042142.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126519528648100 + 114720872473089 = 11248090^2 + 10710783^2 .

It is a cyclic number.

It is not a de Polignac number, because 241240401121189 - 27 = 241240401121061 is a prime.

It is a super-2 number, since 2×2412404011211892 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (241240401181189) 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, 120620200560594 + 120620200560595.

It is an arithmetic number, because the mean of its divisors is an integer number (120620200560595).

Almost surely, 2241240401121189 is an apocalyptic number.

It is an amenable number.

241240401121189 is a deficient number, since it is larger than the sum of its proper divisors (1).

241240401121189 is an equidigital number, since it uses as much as digits as its factorization.

241240401121189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 40.

The spelling of 241240401121189 in words is "two hundred forty-one trillion, two hundred forty billion, four hundred one million, one hundred twenty-one thousand, one hundred eighty-nine".