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442004000330 = 25111493964517
BaseRepresentation
bin1100110111010010111…
…11011100111001001010
31120020220000111200010202
412123221133130321022
524220211011002310
6535015343412202
743635162004244
oct6335137347112
91506800450122
10442004000330
111604a880a562
12717b62b4062
13328b09389c9
141757098b094
15b76e2d33a5
hex66e97dce4a

442004000330 has 16 divisors (see below), whose sum is σ = 795678762600. Its totient is φ = 176785697472.

The previous prime is 442004000323. The next prime is 442004000353. The reversal of 442004000330 is 33000400244.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 184170580801 + 257833419529 = 429151^2 + 507773^2 .

It is a Curzon number.

It is an unprimeable number.

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 in 7 ways as a sum of consecutive naturals, for example, 1870769 + ... + 2093748.

Almost surely, 2442004000330 is an apocalyptic number.

442004000330 is a deficient number, since it is larger than the sum of its proper divisors (353674762270).

442004000330 is a wasteful number, since it uses less digits than its factorization.

442004000330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3975673.

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 442004000330 its reverse (33000400244), we get a palindrome (475004400574).

The spelling of 442004000330 in words is "four hundred forty-two billion, four million, three hundred thirty", and thus it is an aban number.

Divisors: 1 2 5 10 11149 22298 55745 111490 3964517 7929034 19822585 39645170 44200400033 88400800066 221002000165 442004000330