Search a number
-
+
40104743141 is a prime number
BaseRepresentation
bin100101010110011011…
…011101000011100101
310211111222011001002002
4211112123131003211
51124113303240031
630231315455045
72616555456251
oct452633350345
9124458131062
1040104743141
111601009a121
127932bb7485
133a21996c58
141d26475261
15109acc6ccb
hex9566dd0e5

40104743141 has 2 divisors, whose sum is σ = 40104743142. Its totient is φ = 40104743140.

The previous prime is 40104743137. The next prime is 40104743153. The reversal of 40104743141 is 14134740104.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35609577025 + 4495166116 = 188705^2 + 67046^2 .

It is a cyclic number.

It is not a de Polignac number, because 40104743141 - 22 = 40104743137 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40104745141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20052371570 + 20052371571.

It is an arithmetic number, because the mean of its divisors is an integer number (20052371571).

Almost surely, 240104743141 is an apocalyptic number.

It is an amenable number.

40104743141 is a deficient number, since it is larger than the sum of its proper divisors (1).

40104743141 is an equidigital number, since it uses as much as digits as its factorization.

40104743141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 29.

The spelling of 40104743141 in words is "forty billion, one hundred four million, seven hundred forty-three thousand, one hundred forty-one".