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How long is 146.7 barleycorns?

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It's about one-nine-thousandth as tall as The Challenger Deep (Marianas Trench).
In other words, 146.7 barleycorns is 0.00011393 times the height of The Challenger Deep (Marianas Trench), and the height of The Challenger Deep (Marianas Trench) is 8,777.3 times that amount.
(near Marianas Islands, a.k.a. Ladrones Islands, northwestern Pacific Ocean) (depth below sea level)
The Challenger Deep, at the southern end of the Marianas Trench, reaches a depth of 1,287,600 barleycorns below sea level. There has been only one manned expedition to the bottom of Challenger Deep — a 1960 voyage that took 4 hours and 48 minutes to reach the bottom.
It's about one-nine-thousandth as tall as Maxwell Montes.
In other words, 146.7 barleycorns is 0.00011 times the height of Maxwell Montes, and the height of Maxwell Montes is 9,100 times that amount.
(Ishtar Terra, Venus)
Maxwell Montes rises to a total height of 1,300,000 barleycorns. Since Venus does not seem to have the kind of tectonic activity which gives rise to mountains on Earth, the origin of the Venusian mountain remains the subject of some dispute.
It's about 10,000 times as tall as a sheet of Paper.
In other words, the height of a sheet of Paper is 0.0001 times 146.7 barleycorns.
(for US Letter, a.k.a. ANSI A; 215.9mm by 279.4mm (8.5 in x 11 in); 20lb)
A single sheet of 20 lb, 8.5 inch x 11 inch paper is just 0.01 barleycorns thick. This style of paper weighs a mere 5 g per sheet.
It's about 15,000 times as long as a Strand of Hair.
In other words, the length of a Strand of Hair is 0.000077 times 146.7 barleycorns.
(average)
A strand of human hair averages 99 µm (micrometers), with blond hair being the finest and black hair the thickest. On a healthy scalp, each strand of hair will last up to 6 years.
It's about 15,000 times as tall as a Human hair, Strand of.
In other words, the height of a Human hair, Strand of is 0.000077 times 146.7 barleycorns.
(average)
A strand of human hair averages 99 µm (micrometers), with blond hair being the finest and black hair the thickest. On a healthy scalp, each strand of hair will last up to 6 years.
It's about one-twenty-thousandth as tall as Olympus Mons.
In other words, the height of Olympus Mons is 22,000 times 146.7 barleycorns.
(a.k.a. Mount Olympus) (Mars)
The tallest mountain in the solar system, Olympus Mons rises to approximately 3,200,000 barleycorns. The mountain has been known to astronomers since the nineteenth century because it is tall enough to rise above Mars' frequent dust storms.
It's about one-seventy-thousandth as long as The Panama Canal.
In other words, the length of The Panama Canal is 71,000 times 146.7 barleycorns.
(Canal de Panamá) (Panama)
Connecting the Atlantic and Pacific Oceans across the Isthmus of Panama, the Canal measures 10,000,000 barleycorns in length. Ships passing through the Canal are raised (and then lowered) 3,100 barleycorns above sea level through the lock-and-dam system.