Search a number
-
+
41407842781 is a prime number
BaseRepresentation
bin100110100100000110…
…011000100111011101
310221212210011100201201
4212210012120213131
51134300401432111
631004505435501
72664060566464
oct464406304735
9127783140651
1041407842781
1116619714178
12803749bb91
133b9b948a26
14200b5619db
1511253ca6c1
hex9a41989dd

41407842781 has 2 divisors, whose sum is σ = 41407842782. Its totient is φ = 41407842780.

The previous prime is 41407842767. The next prime is 41407842823. The reversal of 41407842781 is 18724870414.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35632602756 + 5775240025 = 188766^2 + 75995^2 .

It is a cyclic number.

It is not a de Polignac number, because 41407842781 - 231 = 39260359133 is a prime.

It is a super-2 number, since 2×414078427812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41407842731) 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, 20703921390 + 20703921391.

It is an arithmetic number, because the mean of its divisors is an integer number (20703921391).

Almost surely, 241407842781 is an apocalyptic number.

It is an amenable number.

41407842781 is a deficient number, since it is larger than the sum of its proper divisors (1).

41407842781 is an equidigital number, since it uses as much as digits as its factorization.

41407842781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 401408, while the sum is 46.

The spelling of 41407842781 in words is "forty-one billion, four hundred seven million, eight hundred forty-two thousand, seven hundred eighty-one".