Search a number
-
+
40146331 is a prime number
BaseRepresentation
bin1001100100100…
…1010110011011
32210112122102011
42121021112123
540234140311
63552250351
7665144461
oct231112633
983478364
1040146331
1120730595
12115409b7
138418334
145490831
1537d0321
hex264959b

40146331 has 2 divisors, whose sum is σ = 40146332. Its totient is φ = 40146330.

The previous prime is 40146329. The next prime is 40146347. The reversal of 40146331 is 13364104.

40146331 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 is a cyclic number.

It is not a de Polignac number, because 40146331 - 21 = 40146329 is a prime.

It is a super-2 number, since 2×401463312 = 3223455785523122, which contains 22 as substring.

Together with 40146329, it forms a pair of twin primes.

It is equal to p2442028 and since 40146331 and 2442028 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (40146371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20073165 + 20073166.

It is an arithmetic number, because the mean of its divisors is an integer number (20073166).

Almost surely, 240146331 is an apocalyptic number.

40146331 is a deficient number, since it is larger than the sum of its proper divisors (1).

40146331 is an equidigital number, since it uses as much as digits as its factorization.

40146331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 40146331 is about 6336.1132407810. The cubic root of 40146331 is about 342.4117193042.

The spelling of 40146331 in words is "forty million, one hundred forty-six thousand, three hundred thirty-one".