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How many atoms are there in the universe?

How many atoms are there in the universe?
about 10^80
There are roughly 10^50 atoms in the Earth, so the observable universe holds about 10^30 Earths' worth of matter. And there are still vastly more possible chess games than atoms.

The standard answer is 10^80 atoms in the observable universe, and unusually for a number this large it is a calculation from well-measured cosmology rather than a guess. Ordinary matter is only about 5% of the universe's energy density; dark matter and dark energy make up the rest and are not made of atoms. About 90% of the atoms by number are hydrogen. The figure applies strictly to the observable universe — beyond the horizon there may be arbitrarily more.

How the figure is arrived at

Three published numbers multiplied together. The observable universe is a sphere of radius 4.4 × 10^26 m, giving a volume of 3.6 × 10^80 m³. The critical density is about 8.6 × 10^-27 kg/m³, of which baryonic matter is 4.9%, so 4.2 × 10^-28 kg/m³. Multiply for a total baryonic mass of 1.5 × 10^53 kg and divide by the mass of a hydrogen atom, 1.67 × 10^-27 kg: about 9 × 10^79, or 10^80 to the nearest power of ten.

How confident it is

Low estimate
1,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
High estimate
10,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000,000
Spread
10000.0× between the bounds

Other space and the universe counts

Common questions

How many atoms are there in the universe?
about 10^80
How is that estimated?
Three published numbers multiplied together. The observable universe is a sphere of radius 4.4 × 10^26 m, giving a volume of 3.6 × 10^80 m³. The critical density is about 8.6 × 10^-27 kg/m³, of which baryonic matter is 4.9%, so 4.2 × 10^-28 kg/m³. Multiply for a total baryonic mass of 1.5 × 10^53 kg and divide by the mass of a hydrogen atom, 1.67 × 10^-27 kg: about 9 × 10^79, or 10^80 to the nearest power of ten.

Related pages

Sources

  1. Calculated on this page — At One Place

How these figures are compiled and checked