Search a number
-
+
41141104097 is a prime number
BaseRepresentation
bin100110010100001100…
…110110110111100001
310221012012020122001012
4212110030312313201
51133224110312342
630522220350305
72654341420622
oct462414666741
9127165218035
1041141104097
11164a2098485
127b820a5395
133b585c54a2
141dc3d69a49
15110bc8bb82
hex994336de1

41141104097 has 2 divisors, whose sum is σ = 41141104098. Its totient is φ = 41141104096.

The previous prime is 41141104087. The next prime is 41141104153. The reversal of 41141104097 is 79040114114.

41141104097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38182723216 + 2958380881 = 195404^2 + 54391^2 .

It is a cyclic number.

It is not a de Polignac number, because 41141104097 - 226 = 41073995233 is a prime.

It is not a weakly prime, because it can be changed into another prime (41141104007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20570552048 + 20570552049.

It is an arithmetic number, because the mean of its divisors is an integer number (20570552049).

Almost surely, 241141104097 is an apocalyptic number.

It is an amenable number.

41141104097 is a deficient number, since it is larger than the sum of its proper divisors (1).

41141104097 is an equidigital number, since it uses as much as digits as its factorization.

41141104097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 41141104097 in words is "forty-one billion, one hundred forty-one million, one hundred four thousand, ninety-seven".