From the Planck Institute's Millenium Simulation.
"The Millennium Run used more than 10 billion particles to trace the evolution of the matter distribution in a cubic region of the Universe over 2 billion light-years on a side. It kept busy the principal supercomputer at the Max Planck Society's Supercomputing Centre in Garching, Germany for more than a month"
For context 1 Mpc/h = Megaparsec. 1 Mpc/H =1,000,000 parsecs. A parsec is "a unit of length, equal to just under 31 trillion (31×1012) kilometres (about 19 trillion miles)... or about 3.26 light-years(via). The line below is therefore about 400,000,000 light years longs.
This contained 10^9 (10,000,000,000) particles. The human brain has 10^15 (10,000,000,000,000,000) potential synapses. That is over 1 million times more synapses then particles in this simulation. .
http://www.mpa-garching.mpg.de/galform/virgo/millennium/
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