Search a number
-
+
409893310202041 is a prime number
BaseRepresentation
bin101110100110010111011100…
…1001001101000000010111001
31222202022102021112211002010201
41131030232321021220002321
5412211142444402431131
64011434215343242201
7152223546224062201
oct13514567111500271
91882272245732121
10409893310202041
1110967185a792376
1239b800a02a9361
1314793a08c211c3
147330d29067401
15325c3eb894761
hex174cbb92680b9

409893310202041 has 2 divisors, whose sum is σ = 409893310202042. Its totient is φ = 409893310202040.

The previous prime is 409893310202021. The next prime is 409893310202053. The reversal of 409893310202041 is 140202013398904.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 402209442625600 + 7683867576441 = 20055160^2 + 2771979^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-409893310202041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 409893310201982 and 409893310202000.

It is not a weakly prime, because it can be changed into another prime (409893310202021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 204946655101020 + 204946655101021.

It is an arithmetic number, because the mean of its divisors is an integer number (204946655101021).

Almost surely, 2409893310202041 is an apocalyptic number.

It is an amenable number.

409893310202041 is a deficient number, since it is larger than the sum of its proper divisors (1).

409893310202041 is an equidigital number, since it uses as much as digits as its factorization.

409893310202041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 409893310202041 in words is "four hundred nine trillion, eight hundred ninety-three billion, three hundred ten million, two hundred two thousand, forty-one".