How many times would you have to fold a sheet of paper in half for it to reach the moon?

Occasionally on the Charles Fudgemuffin blog I ask readers for help, for example with preference of book covers, or for other input when writing new stories. Once again I'm in need of help and this time I'm looking for a cross sample of how people would respond to a specific question. This is the scenario...

The Moon.
Reachable by origami, hypothetically.

In a forthcoming book which I'm writing called The Quiz Master, the main character asks a group of people the following question...

"How many times would you have to fold a piece of paper in half before it would be thick enough to reach the Moon?"

Now in reality you can't fold a regular piece of paper more than 7 or 8 times before it becomes impossible to fold it any more, but if it was a hypothetical situation where you could fold a piece of paper as many times as you wanted, how many times would you have to fold it before it was thick enough to reach to the Moon?

Just to clarify, I'm not trying to find out the actual answer. I know how to use Google so if I wanted to know the answer I wouldn't go to the bother of creating a poll! In fact a friend asked me this question many years ago, so I already know the answer. What I'm interested in is what other people would guess, and what sort of typical spread the main character would get with the answers.