As unlikely as it sounds, folding a peice of paper fifty times would go out into space even further than the moon. If 50 folds reached the moon then your paper thickness would be 0.00034mm - 60gsm paper is around 0.081 mm thick. Using 60gsm paper the folded tower would be 91,197,892 km high, well past the moon. With a thicker paper we could make a giant wick from the earth to the sun, using it to ignite countries we don't like. (I used 382,260 km as the distance from earth to moon)