Notable Properties of Specific Numbers

3 days ago

The number of possible chess positions is approximately 1.15868 × 10^42, based on Shannon's 1950 estimate, though more accurate estimates exist.
The 4×4×4 Rubik's Cube has about 7.40119 × 10^45 possible arrangements.
The Monster group, the largest sporadic finite simple group, has an order of about 8.08 × 10^53.
A neutron star contains roughly 10^57 neutrons, making it akin to an atomic nucleus of element number near 10^57.
The number of ways to shuffle a standard 52-card deck is 52!, which is approximately 8.0658 × 10^67.
The age of the universe in Planck time units is around 8.03 × 10^60.
The radius of the visible universe in Planck length units is estimated at 2.75 × 10^61.
Eddington's number, the estimated number of charged particles in the universe, is approximately 3.149544 × 10^79.
The number of legal Go positions on a 19×19 board is exactly 2.081681 × 10^170, as computed by John Tromp et al.
The Shannon number, an estimate of possible chess games, is about 10^120.
The entropy of the universe is estimated to be around 10^122, related to the surface area of the universe's event horizon.
Large numbers like 10^100 (googol) and 10^140 (asankhyeya) appear in various contexts, from black hole entropy to ancient Indian writings.

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