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40320041 is a prime number
BaseRepresentation
bin1001100111001…
…1110000101001
32210212110200212
42121303300221
540310220131
64000110505
7666500066
oct231636051
983773625
1040320041
112083a053
1211605435
138479418
1454d7c6d
153816a2b
hex2673c29

40320041 has 2 divisors, whose sum is σ = 40320042. Its totient is φ = 40320040.

The previous prime is 40320037. The next prime is 40320043. The reversal of 40320041 is 14002304.

40320041 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., 33408400 + 6911641 = 5780^2 + 2629^2 .

It is a cyclic number.

It is not a de Polignac number, because 40320041 - 22 = 40320037 is a prime.

Together with 40320043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 40319998 and 40320025.

It is not a weakly prime, because it can be changed into another prime (40320043) 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, 20160020 + 20160021.

It is an arithmetic number, because the mean of its divisors is an integer number (20160021).

Almost surely, 240320041 is an apocalyptic number.

It is an amenable number.

40320041 is a deficient number, since it is larger than the sum of its proper divisors (1).

40320041 is an equidigital number, since it uses as much as digits as its factorization.

40320041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 40320041 is about 6349.8063750007. The cubic root of 40320041 is about 342.9048715218.

Adding to 40320041 its reverse (14002304), we get a palindrome (54322345).

The spelling of 40320041 in words is "forty million, three hundred twenty thousand, forty-one".