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444404204420 = 225112183638101
BaseRepresentation
bin1100111011110001000…
…11100000001110000100
31120111002021220200011112
412131320203200032010
524240114434020140
6540053444224152
744051515260641
oct6357043401604
91514067820145
10444404204420
1116151a651400
127216609b058
1332ba3c96507
141771b660dc8
15b85ed99c65
hex67788e0384

444404204420 has 36 divisors (see below), whose sum is σ = 1025802437772. Its totient is φ = 161601528000.

The previous prime is 444404204369. The next prime is 444404204521. The reversal of 444404204420 is 24402404444.

It can be written as a sum of positive squares in 2 ways, for example, as 292017028996 + 152387175424 = 540386^2 + 390368^2 .

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 11 ways as a sum of consecutive naturals, for example, 91816631 + ... + 91821470.

Almost surely, 2444404204420 is an apocalyptic number.

It is an amenable number.

444404204420 is an abundant number, since it is smaller than the sum of its proper divisors (581398233352).

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

444404204420 is a wasteful number, since it uses less digits than its factorization.

444404204420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183638132 (or 183638119 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 444404204420 its reverse (24402404444), we get a palindrome (468806608864).

The spelling of 444404204420 in words is "four hundred forty-four billion, four hundred four million, two hundred four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2420 183638101 367276202 734552404 918190505 1836381010 2020019111 3672762020 4040038222 8080076444 10100095555 20200191110 22220210221 40400382220 44440420442 88880840884 111101051105 222202102210 444404204420