Search a number
-
+
40331234399969 is a prime number
BaseRepresentation
bin10010010101110010110001…
…11001100101011011100001
312021210121222001212221212002
421022321120321211123201
520241241332001244334
6221435525135013345
711331556405015562
oct1112713071453341
9167717861787762
1040331234399969
111193a420427367
12463456896a255
1319672b0438536
149d608398c169
1549e194587b7e
hex24ae58e656e1

40331234399969 has 2 divisors, whose sum is σ = 40331234399970. Its totient is φ = 40331234399968.

The previous prime is 40331234399933. The next prime is 40331234399971. The reversal of 40331234399969 is 96999343213304.

40331234399969 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36901008144400 + 3430226255569 = 6074620^2 + 1852087^2 .

It is a cyclic number.

It is not a de Polignac number, because 40331234399969 - 28 = 40331234399713 is a prime.

It is a super-2 number, since 2×403312343999692 (a number of 28 digits) contains 22 as substring.

Together with 40331234399971, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (40331234399999) 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, 20165617199984 + 20165617199985.

It is an arithmetic number, because the mean of its divisors is an integer number (20165617199985).

Almost surely, 240331234399969 is an apocalyptic number.

It is an amenable number.

40331234399969 is a deficient number, since it is larger than the sum of its proper divisors (1).

40331234399969 is an equidigital number, since it uses as much as digits as its factorization.

40331234399969 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 102036672, while the sum is 65.

The spelling of 40331234399969 in words is "forty trillion, three hundred thirty-one billion, two hundred thirty-four million, three hundred ninety-nine thousand, nine hundred sixty-nine".