Moles to Millions (mol to M)
1 mole equals 6.02214076×10¹⁷ millions exactly.
How to convert moles to millions
To convert moles to millions, multiply the number of moles by 6.02214076×10¹⁷. This factor is exact. To go the other way, multiply millions by 1.660539067×10⁻¹⁸ (rounded).
millions = moles × 6.02214076×10¹⁷
Example: 10 moles = 6.02214076×10¹⁸ millions.
Large-number names differ around the world: this site uses the short scale (billion = 10⁹) by default, and lists the long-scale billion separately.
About these units
Mole (mol)
Exactly 6.02214076×10²³ entities (the Avogadro number). The SI unit for amount of substance in chemistry.
The mole counts particles the way a dozen counts eggs, only on a vastly larger scale: exactly 6.02214076 × 10²³ elementary entities, which may be atoms, molecules, ions, electrons, or other specified particles. The mole became the seventh SI base unit in 1971, and the term itself dates from around 1900, shortened from the German Molekül. In 1909 Jean Perrin named the number in honor of Amedeo Avogadro.
Until 2019 a mole was the number of atoms in 0.012 kilogram of carbon-12, so the count depended on the kilogram. Effective May 20, 2019, the SI fixed the number itself, and the mole no longer rests on a physical sample. As a result the molar mass of carbon-12 is no longer known exactly. The chosen number kept it at 0.012 kilogram per mole, with a relative uncertainty of 4.5 × 10⁻¹⁰, at the moment of adoption. For scale, about 18 grams of water holds roughly this many molecules.
1 mole = 6.02214076×10²³ pieces (exactly).
Sources: BIPM SI Brochure, 9th edition (2019); NIST: Redefining the mole; Wikipedia: Avogadro constant
Million (M)
One million (10⁶).
Million comes from Italian. Old Italian milione was built from mille, a thousand, plus an augmentative ending, so it began as something like a big thousand. The name proved useful as a stem: by 1475 the French mathematician Jehan Adam was already building larger names from it, bymillion and trimillion, for 10¹² and 10¹⁸. The short and long scales agree on the million itself, 1,000,000 or 10⁶, and diverge only for the larger names. The SI prefix mega- stands for 10⁶.
Millions are hard to feel. Counting out a million items one by one is famously laborious, yet a million seconds lasts only about 11.57 days. A billion seconds, by contrast, is roughly 31.7 years.
1 million = 1,000,000 pieces (exactly).
Sources: Wikipedia: Million; Wikipedia: Names of large numbers; BIPM SI Brochure, 9th edition (2019)
Related conversions
- Millions to moles (reverse)
- Moles to pieces
- Moles to dozens
- Moles to lakhs
- Moles to crores
- Moles to billions (short scale)
- Pieces to millions
- Dozens to millions
- Lakhs to millions
- Crores to millions
- Billions (short scale) to millions
- Pairs to millions
- Hundred to millions
- Gross to millions
- Thousand to millions
- Trillions (short scale) to millions
- Score to millions
- Half dozens to millions
See all counting & quantity units.