Search a number
-
+
41405384647141 is a prime number
BaseRepresentation
bin10010110101000011100010…
…01111100110000111100101
312102121022112110002020000221
421122201301033212013211
520411341211432202031
6224021212054404341
711502304013330344
oct1132416117460745
9172538473066027
1041405384647141
1112213a1a219469
1247887836606b1
131a14684927678
14a32061cb1b5b
154bc0b0962a11
hex25a8713e61e5

41405384647141 has 2 divisors, whose sum is σ = 41405384647142. Its totient is φ = 41405384647140.

The previous prime is 41405384647117. The next prime is 41405384647163. The reversal of 41405384647141 is 14174648350414.

41405384647141 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., 30792188963041 + 10613195684100 = 5549071^2 + 3257790^2 .

It is a cyclic number.

It is not a de Polignac number, because 41405384647141 - 29 = 41405384646629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41405384647181) 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, 20702692323570 + 20702692323571.

It is an arithmetic number, because the mean of its divisors is an integer number (20702692323571).

Almost surely, 241405384647141 is an apocalyptic number.

It is an amenable number.

41405384647141 is a deficient number, since it is larger than the sum of its proper divisors (1).

41405384647141 is an equidigital number, since it uses as much as digits as its factorization.

41405384647141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5160960, while the sum is 52.

The spelling of 41405384647141 in words is "forty-one trillion, four hundred five billion, three hundred eighty-four million, six hundred forty-seven thousand, one hundred forty-one".