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442141303432 = 23537336738923
BaseRepresentation
bin1100110111100011010…
…11001110001010001000
31120021020120212101120211
412123301223032022020
524221001133202212
6535041130330504
743641450032653
oct6336153161210
91507216771524
10442141303432
1116056926a3a4
1271834289a34
133290321064a
1417584ccc89a
15b77b3a59a7
hex66f1ace288

442141303432 has 64 divisors (see below), whose sum is σ = 858582478080. Its totient is φ = 213339889152.

The previous prime is 442141303427. The next prime is 442141303451. The reversal of 442141303432 is 234303141244.

It is a junction number, because it is equal to n+sod(n) for n = 442141303394 and 442141303403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11339923 + ... + 11378845.

It is an arithmetic number, because the mean of its divisors is an integer number (13415351220).

Almost surely, 2442141303432 is an apocalyptic number.

It is an amenable number.

442141303432 is a deficient number, since it is larger than the sum of its proper divisors (416441174648).

442141303432 is a wasteful number, since it uses less digits than its factorization.

442141303432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39422 (or 39418 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 442141303432 its reverse (234303141244), we get a palindrome (676444444676).

The spelling of 442141303432 in words is "four hundred forty-two billion, one hundred forty-one million, three hundred three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 53 73 106 146 212 292 367 424 584 734 1468 2936 3869 7738 15476 19451 26791 30952 38902 38923 53582 77804 77846 107164 155608 155692 214328 311384 1419923 2062919 2839846 2841379 4125838 5679692 5682758 8251676 11359384 11365516 14284741 16503352 22731032 28569482 57138964 114277928 150593087 301186174 602372348 757091273 1042786093 1204744696 1514182546 2085572186 3028365092 4171144372 6056730184 8342288744 55267662929 110535325858 221070651716 442141303432