Search a number
-
+
41407465711133 is a prime number
BaseRepresentation
bin10010110101000111011010…
…10010001110011000011101
312102121111220110222020011002
421122203231102032120131
520411404442210224013
6224022154355040045
711502406413146324
oct1132435522163035
9172544813866132
1041407465711133
11122148979a3665
1247890645a0025
131a14926b15492
14a321bc42d0bb
154bc1834d9358
hex25a8ed48e61d

41407465711133 has 2 divisors, whose sum is σ = 41407465711134. Its totient is φ = 41407465711132.

The previous prime is 41407465711127. The next prime is 41407465711201. The reversal of 41407465711133 is 33111756470414.

41407465711133 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., 41038411891129 + 369053820004 = 6406123^2 + 607498^2 .

It is a cyclic number.

It is not a de Polignac number, because 41407465711133 - 218 = 41407465448989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41407465711123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20703732855566 + 20703732855567.

It is an arithmetic number, because the mean of its divisors is an integer number (20703732855567).

Almost surely, 241407465711133 is an apocalyptic number.

It is an amenable number.

41407465711133 is a deficient number, since it is larger than the sum of its proper divisors (1).

41407465711133 is an equidigital number, since it uses as much as digits as its factorization.

41407465711133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 846720, while the sum is 47.

The spelling of 41407465711133 in words is "forty-one trillion, four hundred seven billion, four hundred sixty-five million, seven hundred eleven thousand, one hundred thirty-three".