Search a number
-
+
40870311664181 is a prime number
BaseRepresentation
bin10010100101011110111000…
…11010001001101000110101
312100201011102021212101001112
421102233130122021220311
520324104344241223211
6222531321215404405
711415532265115236
oct1122573432115065
9170634367771045
1040870311664181
11120280024a183a
124700b34823705
1319a609141174c
14a141c29c508d
154ad1e5b8488b
hex252bdc689a35

40870311664181 has 2 divisors, whose sum is σ = 40870311664182. Its totient is φ = 40870311664180.

The previous prime is 40870311664157. The next prime is 40870311664289. The reversal of 40870311664181 is 18146611307804.

40870311664181 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., 40850185702225 + 20125961956 = 6391415^2 + 141866^2 .

It is a cyclic number.

It is not a de Polignac number, because 40870311664181 - 234 = 40853131794997 is a prime.

It is a super-2 number, since 2×408703116641812 (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40870311664121) 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, 20435155832090 + 20435155832091.

It is an arithmetic number, because the mean of its divisors is an integer number (20435155832091).

Almost surely, 240870311664181 is an apocalyptic number.

It is an amenable number.

40870311664181 is a deficient number, since it is larger than the sum of its proper divisors (1).

40870311664181 is an equidigital number, since it uses as much as digits as its factorization.

40870311664181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 774144, while the sum is 50.

The spelling of 40870311664181 in words is "forty trillion, eight hundred seventy billion, three hundred eleven million, six hundred sixty-four thousand, one hundred eighty-one".