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Assuming you can add at an average rate of one number a second, without pausing or resting, it would take you just over 243 days to add 21 million numbers. Assuming you'd be more comfortable sleeping and eating, and so only working say 8 solid hours a day, it'd take you 729 days, working 7 days a week with no time off. Which is just a few hours less than two years, as it turns out, coincidentally.
I reckon you'd be pretty sick of it after two years and would slow down at some point, so the Head Death's estimate of "years" is right on the money.
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