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How heavy is 400,000,000 tonnes?

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It's about 35,000,000,000,000 times as heavy as a Battery (AAA).
In other words, the weight of a Battery (AAA) is 0.00000000000003 times 400,000,000 tonnes.
(Alkaline)
An "AAA" size battery weighs 0.000012 tonnes. Batteries are named by the American National Standards Institute (ANSI) Committee C18 and AAA batteries were given their name because they were smaller than the "AA" and "A" size batteries which were invented first.
It's about 55,000,000,000,000 times as heavy as an Eye (Human).
In other words, the weight of an Eye (Human) is 0.000000000000018 times 400,000,000 tonnes.
(adult)
A fully developed eye (in a person over the age of thirteen), weighs about 0.0000071 tonnes. The pupil of the eye varies depending on the amount of light it is exposed to, but typically measures about 4 mm across.
It's about 70,000,000,000,000 times as heavy as a Quarter.
In other words, 400,000,000 tonnes is 70,550,000,000,000 times the weight of a Quarter, and the weight of a Quarter is 0.00000000000001417 times that amount.
(United States quarter-dollar coin) (a.k.a. Quarter dollar, a.k.a. America the Beautiful quarter, a.k.a. two bits)
The America the Beautiful series quarters, which began to enter circulation in 2017, weigh 0.00000567 tonnes each. In answer to the common riddle, there are 119 ridges around the edge of the coin in its current design.
It's about 80,000,000,000,000 times as heavy as a sheet of Paper.
In other words, the weight of a sheet of Paper is 0.00000000000001 times 400,000,000 tonnes.
(for US Letter, a.k.a. ANSI A; 215.9mm by 279.4mm (8.5 in x 11 in); 20lb)
The weight of a ream (500 sheets) of 0.009 tonnes, 8.5 inch x 11 inch paper is 0.002 tonnes, each sheet weighing 0.000005 tonnes. Paper of this size has a thickness of 0.004 caliper (0.1 mm).
It's about 100,000,000,000,000 times as heavy as a Die (Dice).
In other words, 400,000,000 tonnes is 98,000,000,000,000 times the weight of a Die (Dice), and the weight of a Die (Dice) is 0.00000000000001 times that amount.
(for six-sided, 16 mm, rounded cube)
A die, of the size most commonly used in board games and casinos, typically weight 0.0000041 tonnes. The use of dice and dice-like tools predates written history, with the oldest known examples belonging to a 5,000-year old backgammon set uncovered during an archaeological dig in modern-day Iran.
It's about 150,000,000,000,000 times as heavy as a Penny.
In other words, the weight of a Penny is 0.0000000000000063 times 400,000,000 tonnes.
(United States) (formally one-cent coin) (Union shield design, 2010-present)
The weight of a United States penny is 0.0000025 tonnes. According to a 2010 report by the United States Mint, the cost of manufacturing and distributing a penny is $0.0179 — more than its face-value.
It's about 200,000,000,000,000 times as heavy as a Playing Card.
In other words, 400,000,000 tonnes is 220,000,000,000,000.0 times the weight of a Playing Card, and the weight of a Playing Card is 0.0000000000000045 times that amount.
(ISO 216 B8 size, 2.5" x 3.5")
A single ISO 216 B8-size playing card weighs 0.0000018 tonnes. Although this size is the most common home playing card, many casinos use "bridge size" cards — 2,640 sq. mm (4.036 sq. in) smaller in area.