I believe that you are in error on this statement: "The Sun emits 1366 Watts per square meter of radiant energy."
I think that it is MUCH higher than that.
http://www.physicalgeography.net/fundamentals/6g.html
The total quantity of energy emitted from the sun's surface is approximately 63,000,000 Watts per square meter (Wm-2 ).
David F Mayer
