So, a 1.6square meter solar panel is 265W, so we get 165W per square meter. This yields 69 million watts; 69,457kW; 69MW of capacity.
Despite the stunningly large surface area of the factory, 69MW is only enough to charge about 60 Tesla trucks in full sun, with each truck using a "Megacharger".
Also, you are 100% correct, the power to run that factory will, on average, come from conventional power plants for 18.7 hours of each day.
(Austin's solar insolation, ie, annualized sunlight hours, for "fixed solar panels" is 5.3 hours per day)
EDIT: Many states are now noticing a significant uptick in Natural Gas consumption due to the fickle nature of wind and solar, and the necessary use of less efficient but responsive NG peaker plants. Solar has resulted in more fuel use in many cases.