to answer you first Authorized Shares is 500,000,000 a/o Apr 01, 2014 and they are not traded :) and the float trading is Float 473,245,458 a/o Apr 01, 2014 it is what you need to know is the float :) hope it help you and the difference with the OS is maybe in Treasury but what we trade is only the float so it is why it is why i love this stock because float is really small even the Authorized Shares all sounds good :)