What is the difference between wanting to become immortal and wanting to go to heaven?

When people are asked, "Would you like to live forever?" there are always a bunch of qualifiers and a large percentage of them say no, because they think they would get bored after so many years. I was just thinking about that and then I started wondering about the billions of people that say they want to go to heaven. Wouldn't the same argument be applicable? How long would you want to play your harp and worship your God before you got bored? I guess if the alternative was torture in hell forever that would have to be considered.