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442213211034 = 23274185600699
BaseRepresentation
bin1100110111101011111…
…01100001101110011010
31120021102121011200021100
412123311331201232122
524221123040223114
6535052215452230
743643312163060
oct6336575415632
91507377150240
10442213211034
111605a5913671
1271854387076
133291509951a
141759068a030
15b78285b909
hex66f5f61b9a

442213211034 has 48 divisors (see below), whose sum is σ = 1121711572800. Its totient is φ = 123265005120.

The previous prime is 442213211029. The next prime is 442213211087. The reversal of 442213211034 is 430112312244.

442213211034 is a `hidden beast` number, since 4 + 422 + 132 + 1 + 103 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 442213210989 and 442213211007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42795184 + ... + 42805515.

It is an arithmetic number, because the mean of its divisors is an integer number (23368991100).

Almost surely, 2442213211034 is an apocalyptic number.

442213211034 is an abundant number, since it is smaller than the sum of its proper divisors (679498361766).

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

442213211034 is a wasteful number, since it uses less digits than its factorization.

442213211034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85600755 (or 85600752 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 442213211034 its reverse (430112312244), we get a palindrome (872325523278).

The spelling of 442213211034 in words is "four hundred forty-two billion, two hundred thirteen million, two hundred eleven thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1722 2583 5166 85600699 171201398 256802097 513604194 599204893 770406291 1198409786 1540812582 1797614679 3509628659 3595229358 5392844037 7019257318 10528885977 10785688074 21057771954 24567400613 31586657931 49134801226 63173315862 73702201839 147404403678 221106605517 442213211034