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442412044013 is a prime number
BaseRepresentation
bin1100111000000011101…
…00000000111011101101
31120021221110022102211202
412130001310000323231
524222024440402023
6535124041255245
743651245220052
oct6340164007355
91507843272752
10442412044013
11160698079845
12718aaa94525
1332947335584
14175acc47029
15b795035128
hex6701d00eed

442412044013 has 2 divisors, whose sum is σ = 442412044014. Its totient is φ = 442412044012.

The previous prime is 442412043971. The next prime is 442412044031. The reversal of 442412044013 is 310440214244.

Together with next prime (442412044031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 404926050244 + 37485993769 = 636338^2 + 193613^2 .

It is a cyclic number.

It is not a de Polignac number, because 442412044013 - 28 = 442412043757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (442412044073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 221206022006 + 221206022007.

It is an arithmetic number, because the mean of its divisors is an integer number (221206022007).

Almost surely, 2442412044013 is an apocalyptic number.

It is an amenable number.

442412044013 is a deficient number, since it is larger than the sum of its proper divisors (1).

442412044013 is an equidigital number, since it uses as much as digits as its factorization.

442412044013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12288, while the sum is 29.

Adding to 442412044013 its reverse (310440214244), we get a palindrome (752852258257).

The spelling of 442412044013 in words is "four hundred forty-two billion, four hundred twelve million, forty-four thousand, thirteen".