>That's more than what a large refrigerator uses ..
That's partially due to good insulation in modern fridges. After all, if the insulation is perfect, you could run a fridge on 0W (assuming you don't open the doors).
Watts are joules/second - with perfect insulation and doors not opening, the only energy used is the energy used to cool the contents initially. As time approaches infinity watts approach zero, despite the energy consumed initially. c/t -> 0 as t->INF given constant c.