Search a number
-
+
45113663041 is a prime number
BaseRepresentation
bin101010000000111110…
…111101111001000001
311022110001022112102221
4222000332331321001
51214343044204131
632420330211041
73154646544256
oct520076757101
9138401275387
1045113663041
1118150539847
1288b0583a81
13433c629895
14227d7b942d
1512908e1411
hexa80fbde41

45113663041 has 2 divisors, whose sum is σ = 45113663042. Its totient is φ = 45113663040.

The previous prime is 45113663009. The next prime is 45113663051. The reversal of 45113663041 is 14036631154.

45113663041 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., 36488640400 + 8625022641 = 191020^2 + 92871^2 .

It is a cyclic number.

It is not a de Polignac number, because 45113663041 - 25 = 45113663009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45113662988 and 45113663006.

It is not a weakly prime, because it can be changed into another prime (45113663051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22556831520 + 22556831521.

It is an arithmetic number, because the mean of its divisors is an integer number (22556831521).

Almost surely, 245113663041 is an apocalyptic number.

It is an amenable number.

45113663041 is a deficient number, since it is larger than the sum of its proper divisors (1).

45113663041 is an equidigital number, since it uses as much as digits as its factorization.

45113663041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 45113663041 in words is "forty-five billion, one hundred thirteen million, six hundred sixty-three thousand, forty-one".