The solar constant for the Earth is $1368 \mathrm{~W} \mathrm{~m}^{-2}$. Consider the planet Jupiter whose mass is $320$ times that of the Earth and distance from the Sun is $5.2$ times that of the Earth. The solar constant for Jupiter is $\_\_\_\_\_\_ \: \mathrm{W} \mathrm{m}{ }^{-2}$. (Round off to the nearest integer.)
