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How heavy is 3,600,000,000 pounds?

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It's about 35,000,000,000 times as heavy as a Golf Ball.
In other words, 3,600,000,000 pounds is 35,550,000,000 times the weight of a Golf Ball, and the weight of a Golf Ball is 0.000000000028130 times that amount.
(per R&A USGA Rules of Golf; maximum rule weight)
According to the Rules of Golf (as approved by the United States Golf Association and the Rules Committee of the Royal and Ancient Golf Club of Saint Andrews), golf balls must weigh no more than 0.10130 pounds. Golf balls are not required to have the familiar dimpled pattern, but the design has been popular since its invention in 1905 because it reduces drag while increasing lift.
It's about 30,000,000,000 times as heavy as a Tennis Ball.
In other words, 3,600,000,000 pounds is 28,300,000,000 times the weight of a Tennis Ball, and the weight of a Tennis Ball is 0.00000000003530 times that amount.
(ITF Standard; for Type 2 ball)
Per International Tennis Federation standard, regulation tennis balls must weigh about 0.1270 pounds. Competition balls are also tested for bounce height, with the standards requiring that a ball dropped from 254 cm must bounce back to a height of 135 cm to 147 cm.
It's about 25,000,000,000 times as heavy as a Battery (C).
In other words, the weight of a Battery (C) is 0.0000000000400 times 3,600,000,000 pounds.
(Alkaline)
A "C" size battery weighs 0.140 pounds. C batteries are typically used in medium-drain devices such as musical instruments.
It's about 15,000,000,000 times as heavy as a Deck of Cards.
In other words, the weight of a Deck of Cards is 0.0000000000590 times 3,600,000,000 pounds.
(ISO 216 B8 size, a.k.a. "poker size" 63 x 88 mm, 52-card deck)
A deck of 52 ISO 216 B8-size playing cards weighs 0.210 pounds. Utilizing nearly 3,700 decks, the record-holding largest card tower was built in early 2010, stood over 3.5 m (11 ft), and weighed over 500 pounds.
It's about 10,000,000,000 times as heavy as a Battery (D).
In other words, 3,600,000,000 pounds is 12,100,000,000 times the weight of a Battery (D), and the weight of a Battery (D) is 0.00000000008260 times that amount.
(Alkaline)
A "D" size battery weighs 0.2980 pounds. The D size battery is the oldest of the modern battery sizes, first invented by the National Carbon Company in 1898.
It's about 10,000,000,000 times as heavy as a Baseball.
In other words, 3,600,000,000 pounds is 11,239,024,390.2440 times the weight of a Baseball, and the weight of a Baseball is 0.0000000000889756944444440 times that amount.
(MLB rules)
Per Major League Baseball rules, a baseball must weigh between 0.31250 pounds and 0.3281250 pounds. A major league pitcher can throw a baseball at up to 150 kph (91 mph) (with a fastball pitch), with record-setting pitches as fast as 171 kph (106 mph).
It's about 10,000,000,000 times as heavy as a Billiard Ball.
In other words, 3,600,000,000 pounds is 10,017,391,304.3480 times the weight of a Billiard Ball, and the weight of a Billiard Ball is 0.0000000000998263888888870 times that amount.
(American-style, WPA specifications)
Per the World Pool-Billiard Association, a billiard ball weight must weigh between 0.343750 pounds and 0.3750 pounds. According to legend, the difficulty in obtaining elephant ivory for the manufacture of billiard balls in the 19th century inspired the search for a replacement material, which led to the development of the first industrial plastic.