The crystal structure of an element has fcc lattice. If the edge length of the crystal is \(4\ \text{\AA}\), what is the atomic weight \((g\ mol^{-1})\) of the element, if the density of the crystal is \(11.21\ g\ cm^{-3}\)?
\[
(N_A=6.023\times10^{23}\ mol^{-1})
\]