Well, isn't that a happy little question! If you were to count one number per second, it would take you around 31,688 years to count all the way up to a trillion. Just imagine all the beautiful landscapes you could paint in that time instead!
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one trillion seconds.
approxmatly 2,800,000 years
Naturally, it depends on how fast you count. If you count 10 every second and you don't take any breaks, then you hit 1 trillion during the 328th day of the 3,168th year.
If you counted 1 number every second without ever stopping, it would take you 507,020 years to reach 16 trillion.
31688 years, 32 days, 1 hour, 46 minutes, and 40 seconds