Search a number
-
+
40807244388181 is a prime number
BaseRepresentation
bin10010100011101001011010…
…10011100101011101010101
312100111010122000122210122111
421101310231103211131111
520322041214030410211
6222442331141031021
711411140362115015
oct1121645523453525
9170433560583574
1040807244388181
1112003289683937
1246b08736b5471
1319a015037635b
14a1111ca15c45
154ab753eee421
hex251d2d4e5755

40807244388181 has 2 divisors, whose sum is σ = 40807244388182. Its totient is φ = 40807244388180.

The previous prime is 40807244388173. The next prime is 40807244388259. The reversal of 40807244388181 is 18188344270804.

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., 35629366893156 + 5177877495025 = 5969034^2 + 2275495^2 .

It is a cyclic number.

It is not a de Polignac number, because 40807244388181 - 23 = 40807244388173 is a prime.

It is a super-2 number, since 2×408072443881812 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40807244388121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20403622194090 + 20403622194091.

It is an arithmetic number, because the mean of its divisors is an integer number (20403622194091).

Almost surely, 240807244388181 is an apocalyptic number.

It is an amenable number.

40807244388181 is a deficient number, since it is larger than the sum of its proper divisors (1).

40807244388181 is an equidigital number, since it uses as much as digits as its factorization.

40807244388181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11010048, while the sum is 58.

The spelling of 40807244388181 in words is "forty trillion, eight hundred seven billion, two hundred forty-four million, three hundred eighty-eight thousand, one hundred eighty-one".