$$3( { 4 }^{ 3 } \times { 4 }^{ 2 } )( { 3 }^{ 2 } \times { 4 }^{ 2 } )+200$$
$442568$
$$3^{3}\times 4^{3}\times 4^{2}\times 4^{2}+200$$
$$3^{3}\times 4^{5}\times 4^{2}+200$$
$$3^{3}\times 4^{7}+200$$
$$27\times 4^{7}+200$$
$$27\times 16384+200$$
$$442368+200$$
$$442568$$
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$2^{3}\times 7^{2}\times 1129$
