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42224400042 = 2311679548711
BaseRepresentation
bin100111010100110001…
…010011011010101010
311000222200122202201020
4213110301103122222
51142433421300132
631221515233310
73023234323056
oct472461233252
9130880582636
1042224400042
11169a8633790
128224a48836
133c9bb77cc6
142087b9ac66
151171e2352c
hex9d4c536aa

42224400042 has 32 divisors (see below), whose sum is σ = 93500987904. Its totient is φ = 12604297200.

The previous prime is 42224399981. The next prime is 42224400137. The reversal of 42224400042 is 24000442224.

42224400042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42224399985 and 42224400021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4769934 + ... + 4778777.

It is an arithmetic number, because the mean of its divisors is an integer number (2921905872).

Almost surely, 242224400042 is an apocalyptic number.

42224400042 is an abundant number, since it is smaller than the sum of its proper divisors (51276587862).

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

42224400042 is a wasteful number, since it uses less digits than its factorization.

42224400042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9548794.

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 42224400042 its reverse (24000442224), we get a palindrome (66224842266).

The spelling of 42224400042 in words is "forty-two billion, two hundred twenty-four million, four hundred thousand, forty-two".

Divisors: 1 2 3 6 11 22 33 66 67 134 201 402 737 1474 2211 4422 9548711 19097422 28646133 57292266 105035821 210071642 315107463 630214926 639763637 1279527274 1919290911 3838581822 7037400007 14074800014 21112200021 42224400042