Counting to a very large number, such as 9,192,631,770, in on second may seem like an impossible task, but it is done on a very regular basis by atomic clocks. The International System of Units defines one second as 9,192,631,770 vibrations of the unperturbed ground-state hyperfine transition frequency of the caesium-133 atom.
More on atomic clocks can be found here: https://en.wikipedia.org/wiki/Atomic_clock.
Official time in the United States is maintained by the U.S. Naval Observatory. A link to the official time is below:
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