Search a number
-
+
41257378073 is a prime number
BaseRepresentation
bin100110011011001000…
…011010000100011001
310221111022000221221202
4212123020122010121
51133443342044243
630541532443545
72660252633042
oct463310320431
9127438027852
1041257378073
111655179487a
127bb50195b5
133b76716462
141dd55958c9
1511170a84b8
hex99b21a119

41257378073 has 2 divisors, whose sum is σ = 41257378074. Its totient is φ = 41257378072.

The previous prime is 41257378007. The next prime is 41257378109. The reversal of 41257378073 is 37087375214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 34131823504 + 7125554569 = 184748^2 + 84413^2 .

It is a cyclic number.

It is not a de Polignac number, because 41257378073 - 232 = 36962410777 is a prime.

It is a super-2 number, since 2×412573780732 (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (41257378973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20628689036 + 20628689037.

It is an arithmetic number, because the mean of its divisors is an integer number (20628689037).

Almost surely, 241257378073 is an apocalyptic number.

It is an amenable number.

41257378073 is a deficient number, since it is larger than the sum of its proper divisors (1).

41257378073 is an equidigital number, since it uses as much as digits as its factorization.

41257378073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 987840, while the sum is 47.

The spelling of 41257378073 in words is "forty-one billion, two hundred fifty-seven million, three hundred seventy-eight thousand, seventy-three".