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442444021332 = 22336870335111
BaseRepresentation
bin1100111000000111011…
…01111111111001010100
31120022000200111001110220
412130003231333321110
524222111132140312
6535131142514340
743652114062305
oct6340355777124
91508020431426
10442444021332
1116070412a885
12718b97359b0
1332950b50571
14175b31ac7ac
15b797c4ec8c
hex6703b7fe54

442444021332 has 12 divisors (see below), whose sum is σ = 1032369383136. Its totient is φ = 147481340440.

The previous prime is 442444021309. The next prime is 442444021333. The reversal of 442444021332 is 233120444244.

442444021332 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 442444021293 and 442444021302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442444021333) 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 in 3 ways as a sum of consecutive naturals, for example, 18435167544 + ... + 18435167567.

It is an arithmetic number, because the mean of its divisors is an integer number (86030781928).

Almost surely, 2442444021332 is an apocalyptic number.

It is an amenable number.

442444021332 is an abundant number, since it is smaller than the sum of its proper divisors (589925361804).

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

442444021332 is a wasteful number, since it uses less digits than its factorization.

442444021332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36870335118 (or 36870335116 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 442444021332 its reverse (233120444244), we get a palindrome (675564465576).

The spelling of 442444021332 in words is "four hundred forty-two billion, four hundred forty-four million, twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 36870335111 73740670222 110611005333 147481340444 221222010666 442444021332