How far apart non-zero balance addresses are.

According to Glassnode I think there are around 66 million non-zero balance Ethereum addresses. Of the 2^160 total public addresses this means that, on average, there are about (2^160)/(6.6*10^7) = 2.2*10^40 empty addresses in between every non-zero address.

Now pretend each address is represented by an electron. If you stacked electrons one after another in a straight line from here to the farthest object in the known universe, GN-z11, you would expect to find only two of those electrons correspond to non-zero addresses. All the rest of them are empty.

Does my math check out?

https://www.wolframalpha.com/input/?i=%2813.39+gigalight+years%29%2F%28electron+radius%29*6.6*10%5E7%2F2%5E160