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442238832244 = 221117370981943
BaseRepresentation
bin1100110111101110111…
…11010000111001110100
31120021111101101100222001
412123313133100321310
524221201120112434
6535054532545044
743644043023346
oct6336737207164
91507441340861
10442238832244
11160609323220
1271860a82184
133291a49a3c1
1417593c39296
15b784c1d114
hex66f77d0e74

442238832244 has 48 divisors (see below), whose sum is σ = 850362387840. Its totient is φ = 199571379840.

The previous prime is 442238832241. The next prime is 442238832263.

It is a happy number.

442238832244 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 442238832194 and 442238832203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442238832241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5355937 + ... + 5437879.

It is an arithmetic number, because the mean of its divisors is an integer number (17715883080).

Almost surely, 2442238832244 is an apocalyptic number.

442238832244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442238832244 is a deficient number, since it is larger than the sum of its proper divisors (408123555596).

442238832244 is a wasteful number, since it uses less digits than its factorization.

442238832244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82840 (or 82838 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 46.

The spelling of 442238832244 in words is "four hundred forty-two billion, two hundred thirty-eight million, eight hundred thirty-two thousand, two hundred forty-four".

Divisors: 1 2 4 11 22 44 173 346 692 709 1418 1903 2836 3806 7612 7799 15598 31196 81943 122657 163886 245314 327772 490628 901373 1349227 1802746 2698454 3605492 5396908 14176139 28352278 56704556 58097587 116195174 155937529 232390348 311875058 623750116 639073457 1278146914 2556293828 10050882551 20101765102 40203530204 110559708061 221119416122 442238832244