Search a number
-
+
9408338041 is a prime number
BaseRepresentation
bin10001100001100011…
…11101100001111001
3220021200110002111111
420300301331201321
5123232013304131
64153325200321
7452101360654
oct106061754171
926250402444
109408338041
113a98841693
1219a6a000a1
13b6c250b3b
1465374a89b
153a0e8aab1
hex230c7d879

9408338041 has 2 divisors, whose sum is σ = 9408338042. Its totient is φ = 9408338040.

The previous prime is 9408338011. The next prime is 9408338047. The reversal of 9408338041 is 1408338049.

9408338041 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., 7173412416 + 2234925625 = 84696^2 + 47275^2 .

It is a cyclic number.

It is not a de Polignac number, because 9408338041 - 225 = 9374783609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 9408337985 and 9408338003.

It is not a weakly prime, because it can be changed into another prime (9408338047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4704169020 + 4704169021.

It is an arithmetic number, because the mean of its divisors is an integer number (4704169021).

Almost surely, 29408338041 is an apocalyptic number.

It is an amenable number.

9408338041 is a deficient number, since it is larger than the sum of its proper divisors (1).

9408338041 is an equidigital number, since it uses as much as digits as its factorization.

9408338041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 9408338041 is about 96996.5877801895. The cubic root of 9408338041 is about 2111.0781190996.

The spelling of 9408338041 in words is "nine billion, four hundred eight million, three hundred thirty-eight thousand, forty-one".