Just like any other assignment, how soon you finish depends on how fast you count.
If you count 10 every second, and never stop to eat, sleep, breathe, or anything else,
you can reach 1 sextillion in under 3,168,808,782,000 years (rounded) ... which is only
about 219 times as long as today is since the Big Bang.
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319 trillion years
599,999 days.
It would take about 3.2 years.
you count one dollar a second so it would probably take you about 31 and a half years.
I recall reading that it would take you 3 weeks to count to a million if you counted all day, taking time off to eat and sleep. So to count to a billion would take 1000 times 3 weeks.
IF you could count continuously - at the rate of one number per seconds (it would take you longer than that to recite them) - it would take more than 11 days.