If you travel with the Trans Siberian Railway you will cross seven time zones and make around 7000 km.
But if you can't afford the trip or don't have enough time to travel the whole way: Check out this:
Google uploaded a video. It just takes 6,25 days to see the whole trip. Even with the original railway sounds. And a radio stream. Or if you like a reading of Tolstois "War and Peace" and "Dead Souls" of the poet Nikolai Gogol.
Sounds good in the background ;)