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334112423434344 = 23332359016557059
BaseRepresentation
bin100101111110111111001110…
…0010100000101100001101000
31121210222211120020212020121000
41023331332130110011201220
5322243044220344344334
63142333043421515000
7130242553214461212
oct11375763424054150
91553884506766530
10334112423434344
1197505312810355
1231581286712a60
1311457887c3b9b9
145c711b01055b2
15289606e340299
hex12fdf9c505868

334112423434344 has 64 divisors (see below), whose sum is σ = 928094140872000. Its totient is φ = 111370318718400.

The previous prime is 334112423434319. The next prime is 334112423434357. The reversal of 334112423434344 is 443434324211433.

334112423434344 is a `hidden beast` number, since 3 + 3 + 4 + 1 + 1 + 242 + 34 + 34 + 344 = 666.

It is a super-2 number, since 2×3341124234343442 (a number of 30 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 334112423434344.

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, 47676087 + ... + 54233145.

It is an arithmetic number, because the mean of its divisors is an integer number (14501470951125).

Almost surely, 2334112423434344 is an apocalyptic number.

It is an amenable number.

334112423434344 is an abundant number, since it is smaller than the sum of its proper divisors (593981717437656).

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

334112423434344 is a wasteful number, since it uses less digits than its factorization.

334112423434344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6792975 (or 6792965 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 45.

Adding to 334112423434344 its reverse (443434324211433), we get a palindrome (777546747645777).

The spelling of 334112423434344 in words is "three hundred thirty-four trillion, one hundred twelve billion, four hundred twenty-three million, four hundred thirty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 235901 471802 707703 943604 1415406 1887208 2123109 2830812 4246218 5661624 6369327 6557059 8492436 12738654 13114118 16984872 19671177 25477308 26228236 39342354 50954616 52456472 59013531 78684708 118027062 157369416 177040593 236054124 354081186 472108248 708162372 1416324744 1546816775159 3093633550318 4640450325477 6187267100636 9280900650954 12374534201272 13921350976431 18561801301908 27842701952862 37123602603816 41764052929293 55685403905724 83528105858586 111370807811448 167056211717172 334112423434344