If $2^{200}\times4^{1000}\times8^{40}=16^{}x$, then $x=$~\uline{~~~~~~~~~~}~. 
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$2^{200} \times 4^{1000} \times 8^{40}=16^{200 \div 4} \times 16^{1000 \div 2} \times 2^{120}$$=16^{50} \times 16^{500} \times 16^{30}=16^{580}$. 