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40022040013 is a prime number
BaseRepresentation
bin100101010001011111…
…111101110111001101
310211022012112021201021
4211101133331313031
51123431120240023
630215203114141
72614532504254
oct452137756715
9124265467637
1040022040013
1115a7844202a
12790b372951
133a0a7cb3a7
141d194a779b
1510938dc35d
hex9517fddcd

40022040013 has 2 divisors, whose sum is σ = 40022040014. Its totient is φ = 40022040012.

The previous prime is 40022040007. The next prime is 40022040187. The reversal of 40022040013 is 31004022004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24937778889 + 15084261124 = 157917^2 + 122818^2 .

It is a cyclic number.

It is not a de Polignac number, because 40022040013 - 221 = 40019942861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (40022040913) 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, 20011020006 + 20011020007.

It is an arithmetic number, because the mean of its divisors is an integer number (20011020007).

Almost surely, 240022040013 is an apocalyptic number.

It is an amenable number.

40022040013 is a deficient number, since it is larger than the sum of its proper divisors (1).

40022040013 is an equidigital number, since it uses as much as digits as its factorization.

40022040013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 40022040013 its reverse (31004022004), we get a palindrome (71026062017).

The spelling of 40022040013 in words is "forty billion, twenty-two million, forty thousand, thirteen".