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442013022043404 = 223723228785208097
BaseRepresentation
bin110010010000000100010110…
…1001010100011110100001100
32010222001000212111022022202020
41210200020231022203310030
5430413420132120342104
64204025551251530140
7162050246512031310
oct14440105512436414
92128030774268666
10442013022043404
11118925740762499
12416a91028b9950
1315c83859198ab6
147b21789c39b40
153617b8e1812d9
hex192022d2a3d0c

442013022043404 has 48 divisors (see below), whose sum is σ = 1229949278734848. Its totient is φ = 120798589874688.

The previous prime is 442013022043399. The next prime is 442013022043459. The reversal of 442013022043404 is 404340220310244.

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, 114392602117 + ... + 114392605980.

It is an arithmetic number, because the mean of its divisors is an integer number (25623943306976).

Almost surely, 2442013022043404 is an apocalyptic number.

It is an amenable number.

442013022043404 is an abundant number, since it is smaller than the sum of its proper divisors (787936256691444).

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

442013022043404 is a wasteful number, since it uses less digits than its factorization.

442013022043404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228785208134 (or 228785208132 counting only the distinct ones).

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

Adding to 442013022043404 its reverse (404340220310244), we get a palindrome (846353242353648).

The spelling of 442013022043404 in words is "four hundred forty-two trillion, thirteen billion, twenty-two million, forty-three thousand, four hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 228785208097 457570416194 686355624291 915140832388 1372711248582 1601496456679 2745422497164 3202992913358 4804489370037 5262059786231 6405985826716 9608978740074 10524119572462 15786179358693 19217957480148 21048239144924 31572358717386 36834418503617 63144717434772 73668837007234 110503255510851 147337674014468 221006511021702 442013022043404