Th-that's a b-big number

[dtewi]

The number is Graham's number, a frigging massive number that is literally incomprehensible to as how large it is. Larger than Googlolplex by an exceedingly vast amount, this is one bastardly large number.

To understand how large this number is, you need to be familiar with Knuth's up-arrow notation. Go here to understand what it is.

http://en.wikipedia.org/wiki/Knuth%27s_up-arrow_notation

Here is what Graham's number is.

Consider an n-dimensional hypercube, and connect each pair of vertices to obtain a complete graph on 2ⁿ vertices. Then colour each of the edges of this graph using only the colours red and black. What is the smallest value of n for which every possible such colouring must necessarily contain a single-coloured complete sub-graph with 4 vertices which lie in a plane?

Since no one could probably make heads or tails of this, there was this nice explanation in numbers and arrows and power towers and what not.

This is Graham's number.

 

 

Basically, there are 64 Up-Arrow Notations. The number of arrows in each layer is determined by the number below it. So there are 3↑↑↑↑3 arrows in 3↑...↑3. Here is how many arrows it is.

 

And, like arrows, the number of 3's there are are determined by the power tower to the right of it. The number of power towers there are is very large. There are more power towers then the number of Planck volumes that you can divide the universe in. A planck volume is equal to 6.3 _^X 1/10000000000000000000000000000000000. Keep in mind that is the mere number of towers, which makes the number unimaginably huge, and that number is the number of arrows for the next layer, and it makes that number even larger, and you do that until you come to the last layer, which has more arrows than the second layer which was innumerably large by so much it is too incomprehensible to even think about. That is only the amount of arrows mind you, which makes Graham's number one fucking huge number.

If this is too confusing, just go to the Wikipedia page for Graham's number.

http://en.wikipedia.org/wiki/Graham%27s_number