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 language 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 the
English language, but often in
other languages.
Physical quantities can be expressed using the
SI prefix giga.
See
Orders of
magnitude 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
1 billion is equal to one thousand million.
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 Bs; and
D 1000 Cs. Thus there are 1 million As in C; and
1,000,000,000 As in D. Likewise, there are 1,000,000,000 cubic
millimetres in a cubic metre.