Yeah, I was having trouble with that one too.
I'm not going to test it though.
I found a couple references to it. It's a math problem using exponentialism of the layers going 1, 2, 4, 8, 16, 32, 64, 128. 256. 512, 1024, 2048, 4098, etc. mathmatically that works out to thickness of paper x number of layers = distance to moon. Unfortunately, you'd need that many molecules worth of paper to create those stacks, which don't exist, so it's just an interesting math problem.
0-1=0.1 x 10**-6
1-2=0.2 x 10**-6
2-4=0.4 x 10**-6
3-8=0.8 x 10**-6finger nail thickness
4-16=1.6 x 10**-6
5-32=3.2 x 10**-6
6-64=6.4 x 10**-6
7-128=12.8 x 10**-6thickness of a notebook
8-256=25.6 x 10**-6
9-512=51.2 x 10**-6
10-1024=0.1 x 10**-3width of a hand (incl. thumb)
11-2048=0.2 x 10**-3
12-4096=0.4 x 10**-30.4m height of a stool
13-8192=0.8 x 10**-3
14-16384=1.6 x 10**-31.6m: an average person's height (yeah, a short guy)
15-32768=3.3 x 10**-3
16-65536=6.6 x 10**-3
17-131072=13.1 x 10**-313m height of a two story house
18-262144=26.2 x 10**-3
19-524288=52.4 x 10**-3
20-1048576=104.9 x 10**-3quarter of the Sears tower (440m)
...............
25-33554432=3.4 x 10**0past the Matterhorn
30-1073741824=107.4 x 10**0outer limits of the atmosphere
35-34359738368=3.4 x 10**3
40-1099511627776=109.9 x 10**3
45-35184372088832=3.5 x 10**6
50-1125899906842624=112.5 x 10**6~ distance to the sun (95 million miles)
55-36028797018963968=3.6 x 10**9
60-1152921504606846976=115.3 x 10**9size of the solar system?
65-36893488147419103232=3.7 x 10**12one-third of a light year
70-1180591620717411303424=118.1 x 10**1211 light years
75-37778931862957161709568=3.8 x 10**15377 light years
80-1208925819614629174706176=120.9 x 10**1512,000 light years
85-38685626227668133590597632=3.9 x 10**184x the diameter of our galaxy