Actually, this is a fermi problem. [1] The purpose of this question is to figure out if someone can break a question down into parts and estimate reasonable values. But even more so, it is supposed to test whether you are enthusiastic about strange and puzzling problems. [2]
Whether you think these questions are stupid or not, the right answer isn't "I give up, just google it", but rather "let me make some assumptions and calculate a value based on some estimates"
Having said that, I think the number is arround 100,000 [3]
[1] http://en.wikipedia.org/wiki/Fermi_problem [2] http://www.joelonsoftware.com/articles/fog0000000073.html [3] http://www.uh.edu/engines/epi975.htm