6,881,876,545,613,170,000,000,000,000,000,000,000,000,000 how long at 1 billion per second will it take to calculate that number

Question

A computing cluster can calculate the lengths of 1 billion per second. How long will it take to find the shortest time. Express your answer in whatever unit seems reasonable. I.E. seconds, minutes, hours, days etc.

Answer 1

First of all, what is one billion?  In USA, it's 10⁹ but in U.K. it's 10¹².

 

"How long will it take to calculate that number" is AMBIGUOUS because the method of calculating is not specified.

 

What does the unfortunate phrase "calculate the lengths of 1 billion per second" mean?