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40444020013 is a prime number
BaseRepresentation
bin100101101010101001…
…101100010100101101
310212101121120002110011
4211222221230110231
51130312132120023
630325115413221
72631145332535
oct455251542455
9125347502404
1040444020013
111617465a931
127a08754211
133a770673b7
141d595504c5
1510ba99350d
hex96aa6c52d

40444020013 has 2 divisors, whose sum is σ = 40444020014. Its totient is φ = 40444020012.

The previous prime is 40444019971. The next prime is 40444020037. The reversal of 40444020013 is 31002044404.

40444020013 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., 21926797929 + 18517222084 = 148077^2 + 136078^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-40444020013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40444020313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20222010006 + 20222010007.

It is an arithmetic number, because the mean of its divisors is an integer number (20222010007).

Almost surely, 240444020013 is an apocalyptic number.

It is an amenable number.

40444020013 is a deficient number, since it is larger than the sum of its proper divisors (1).

40444020013 is an equidigital number, since it uses as much as digits as its factorization.

40444020013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 40444020013 its reverse (31002044404), we get a palindrome (71446064417).

The spelling of 40444020013 in words is "forty billion, four hundred forty-four million, twenty thousand, thirteen".