Oh, what a happy little question! There are 31,536,000,000,000 nanoseconds in a year. Isn't that just a wonderful thought? Just imagine all those tiny moments adding up to create a whole year of possibilities and joy.
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There are one billion nanoseconds in one second.
10 milliseconds = 10 million nanoseconds
There are 109 nanoseconds in one second, and there are 60 x 109 nanoseconds in a minute. There are 60 x 60 x 109 nanoseconds in an hour, or 3.6 x 1012 nanoseconds in an hour.
There are 1,000,000 nanoseconds in one millisecond.
Work it out by basic dimensional analysis! One (average) year = 365.24 days One day = 24 hours One hour = 60 minutes One minute = 60 seconds so there are 365.24 * 24 * 60 * 60 seconds in a year. One nanosecond is 10**9 seconds so multiply the above answer by 10**9 (or just shift the decimal point 9 places, it's loads easier) BTW this same approach can be used to convert any comparable sets of units, e.g. miles per hour into metres per second, or even furlongs per fortnight if you really want to try.