Consider a machine with disk blocks of $16K(2^{14})$ bytes and $1TB(2^{40})$ bytes of total space. What is the minimum size of the block pointers in bytes $($that is$,$ round to nearest byte$),$ where the block pointer is a numeric quantity used to specify a particular block in the file? Using that, what is the theoretical maximum file size possible using a scheme of $8$ direct blocks, $1$ single indirect block and $1$ double indirect block in an inode? Show your work, you do not need to come up with an actual number $($can leave the result in an equation$).$