Search a number
-
+
34241244241 is a prime number
BaseRepresentation
bin11111111000111011…
…111110110001010001
310021101022221102201011
4133320323332301101
51030111224303431
623421420410521
72321346526261
oct377073766121
9107338842634
1034241244241
1113581320666
1267773a6a41
1332c8c81a89
14192b8397a1
15d56153cb1
hex7f8efec51

34241244241 has 2 divisors, whose sum is σ = 34241244242. Its totient is φ = 34241244240.

The previous prime is 34241244239. The next prime is 34241244281. The reversal of 34241244241 is 14244214243.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32434569216 + 1806675025 = 180096^2 + 42505^2 .

It is a cyclic number.

It is not a de Polignac number, because 34241244241 - 21 = 34241244239 is a prime.

Together with 34241244239, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (34241244281) 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, 17120622120 + 17120622121.

It is an arithmetic number, because the mean of its divisors is an integer number (17120622121).

Almost surely, 234241244241 is an apocalyptic number.

It is an amenable number.

34241244241 is a deficient number, since it is larger than the sum of its proper divisors (1).

34241244241 is an equidigital number, since it uses as much as digits as its factorization.

34241244241 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 24576, while the sum is 31.

Adding to 34241244241 its reverse (14244214243), we get a palindrome (48485458484).

The spelling of 34241244241 in words is "thirty-four billion, two hundred forty-one million, two hundred forty-four thousand, two hundred forty-one".