From Wikipedia, the free encyclopedia
1,000,000,000 (one billion, short scale) is the natural number following 999,999,999 and preceding 1,000,000,001.
In scientific notation, it is written as 10^{9}.
In modern (short scale) English usage, it is usually called a billion (although in many other languages and long scale usage, a billion means 1,000,000,000,000 - a million millions).
In Indian English, it may be known as 100 crore.
The term milliard can also be used to refer to 1,000,000,000; this terminology is rarely used in English, but often in other languages.
The SI prefix giga indicates 1,000,000,000 times the base unit.
See Orders of magnitude (numbers) for larger numbers; and long and short scales.
Selected 10-digit numbers (1000000000 - 9999999999)
- 1023456789 - smallest pandigital number in base 10
- 1026753849 - smallest pandigital square, including 0
- 1073676287 - 15th Carol number
- 1073741824 = 2^{30}
- 1073807359 - 14th Kynea number
- 1129760415 - 23rd Motzkin number
- 1134903170 - 45th Fibonacci number
- 1162261467 = 3^{19}
- 1220703125 = 5^{12}
- 1234567890 - pandigital number with the digits in order
- 1311738121 - 25th Pell number
- 1382958545 - 15th Bell number
- 1406818759 - 30th Wedderburn-Etherington number
- 1836311903 - 46th Fibonacci number
- 1882341361 - The least prime whose reversal is both square (40391²) and triangular (triangular of 57121).
- 1977326743 = 7^{11}
- 2147483647 - 8th Mersenne prime and the largest signed 32-bit integer
- 2147483648 = 2^{31}
- 2214502422 - 6th primary pseudoperfect number
- 2357947691 = 11^{9}
- 2971215073 - 11th Fibonacci prime (47th Fibonacci number)
- 3166815962 - 26th Pell number
- 3192727797 - 24th Motzkin number
- 3323236238 - 31st Wedderburn-Etherington number
- 3486784401 = 3^{20}
- 4294836223 - 16th Carol number
- 4294967291 - Largest prime 32-bit unsigned integer
- 4294967295 - Maximum 32-bit unsigned integer (hexadecimal FFFFFFFF)
- 4294967296 = 2^{32}
- 4294967297 - the first composite Fermat number
- 4295098367 - 15th Kynea number
- 4807526976 - 48th Fibonacci number
- 5784634181 - 13th alternating factorial
- 6210001000 - only self-descriptive number in base 10
- 6227020800 = 13!
- 6983776800 - 15th colossally abundant number
- 7645370045 - 27th Pell number
- 7778742049 - 49th Fibonacci number
- 7862958391 - 32nd Wedderburn-Etherington number
- 8589869056 - 6th perfect number
- 8589934592 = 2^{33}
- 9043402501 - 25th Motzkin number
- 9814072356 - largest square pandigital number, largest pandigital pure power
- 9876543210 - largest pandigital number without redundant digits
Sense of scale
The facts below give a sense of how large 1,000,000,000 (10^{9}) is in the context of time according to current scientific evidence:
- 10^{9} seconds is 114 days short of 32 calendar years (≈ 31.7 years).
- About 10^{9} minutes ago, the Roman Empire was flourishing. (10^{9} minutes is roughly 1,900 years.)
- About 10^{9} hours ago, modern human beings and their ancestors were living in the Stone Age (more precisely, the Middle Paleolithic). (10^{9} hours is roughly 114,000 years.)
- About 10^{9} days ago, Australopithecus, an ape-like creature related to an ancestor of modern humans, roamed the African savannas. (10^{9} days is roughly 2.7 million years.)
- About 10^{9} months ago, dinosaurs walked the earth during the late Cretaceous. (10^{9} months is roughly 82 million years.)
- About 10^{9} years ago, the first multicellular eukaryotes appeared on Earth.
- The universe is currently thought to be about 13.7 × 10^{9} years old.
In terms of distance:
- 10^{9} centimetres is about the distance from Chicago to Tokyo.
- 10^{9} inches is 15,783 miles, more than halfway around the world and sufficient to reach any point on the globe from any other point.
- 10^{9} metres is almost three times the distance from the Earth to the Moon.
- 10^{9} kilometres is over six times the distance from the Earth to the Sun.
In terms of finance:
In terms of area:
- A billion square inches would be a square about one half mile on a side.
- A piece of finely woven bed sheet cloth that contained a billion holes would measure about 500 square feet, large enough to cover a moderate sized apartment.
In terms of volume:
- There are a billion cubic millimeters in a cubic meter.
- A billion grains of table salt or granulated sugar would occupy a volume of about two and a half cubic feet.
- A billion cubic inches would be a volume comparable to a large commercial building slightly larger than a typical supermarket.
In terms of natural landscape; a small mountain, slightly larger than Stone Mountain Georgia, United States, would weigh (have a mass of) a billion tons.
In terms of count:
A is a cube; B consists of 1000 cubes of type A. C consists of 1000 B's; and D 1000 C's. Thus there are 1 million A's in C; and 1,000,000,000 A's in D. Likewise, there are 1,000,000,000 cubic millimeters in a cubic meter.