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442113444020 = 22522105672201
BaseRepresentation
bin1100110111100000000…
…00111100100010110100
31120021011122102222122202
412123300000330202310
524220422020202040
6535034253244032
743640661161123
oct6336000744264
91507148388582
10442113444020
11160554571196
1271826a93618
13328ca507aa1
1417581319aba
15b778c01015
hex66f003c8b4

442113444020 has 12 divisors (see below), whose sum is σ = 928438232484. Its totient is φ = 176845377600.

The previous prime is 442113443923. The next prime is 442113444079. The reversal of 442113444020 is 20444311244.

It can be written as a sum of positive squares in 2 ways, for example, as 77638020496 + 364475423524 = 278636^2 + 603718^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11052836081 + ... + 11052836120.

It is an arithmetic number, because the mean of its divisors is an integer number (77369852707).

Almost surely, 2442113444020 is an apocalyptic number.

It is an amenable number.

442113444020 is an abundant number, since it is smaller than the sum of its proper divisors (486324788464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442113444020 is a wasteful number, since it uses less digits than its factorization.

442113444020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22105672210 (or 22105672208 counting only the distinct ones).

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

Adding to 442113444020 its reverse (20444311244), we get a palindrome (462557755264).

The spelling of 442113444020 in words is "four hundred forty-two billion, one hundred thirteen million, four hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 22105672201 44211344402 88422688804 110528361005 221056722010 442113444020