4,294,967,295

4294967295
104 105 106 107 108 109
Cardinal	four billion two hundred ninety-four million nine hundred sixty-seven thousand two hundred ninety-five
Ordinal	4294967295th (four billion two hundred ninety-four million nine hundred sixty-seven thousand two hundred ninety-fifth)
Factorization	3 × 5 × 17 × 257 × 65537
Greek numeral	${\displaystyle {\stackrel {\mu \beta \theta \upsilon \mathrm {\koppa} \digamma }{\mathrm {M} }}}$͵ζσϟε´
Roman numeral	N/A
Binary	111111111111111111111111111111112
Ternary	1020020222012211112103
Senary	15501040155036
Octal	377777777778
Duodecimal	9BA46159312
Hexadecimal	FFFFFFFF16

The

It follows 4,294,967,294 and precedes 4,294,967,296. It has a factorization of ${\displaystyle 3\cdot 5\cdot 17\cdot 257\cdot 65537}$.

In computing, 4,294,967,295 is the highest

Equivalently, it is the largest known odd number n for which the angle ${\displaystyle 2\pi /n}$ can be constructed, or for which ${\displaystyle \cos(2\pi /n)}$ can be expressed in terms of

Not only is 4,294,967,295 the largest known odd number of sides of a constructible polygon, but since constructibility is related to factorization, the list of odd numbers n for which an n-sided polygon is constructible begins with the list of factors of 4,294,967,295. If there are no more Fermat primes, then the two lists are identical. Namely (assuming 65537 is the largest Fermat prime), an odd-sided polygon is constructible if and only if it has 3, 5, 15, 17, 51, 85, 255, 257, 771, 1285, 3855, 4369, 13107, 21845, 65535, 65537, 196611, 327685, 983055, 1114129, 3342387, 5570645, 16711935, 16843009, 50529027, 84215045, 252645135, 286331153, 858993459, 1431655765, or 4294967295 sides.^[4] If there are more numbers in this list, they must be at least 2²³³+1 (approximately 10^2585827973), because every intervening Fermat number is known to be composite.^[5]

In computing

The number 4,294,967,295, equivalent to the

Internet Protocol version 4 (IPv4) uses a 32-bit addresses which limits the address space to 4294967296 (2³²) unique addresses.

In 2004, 800 aircraft over Los Angeles were put in danger when the LA Air Route Traffic Control Center lost radio contact with all of the aircraft for about three hours, delaying 400 flights and cancelling 600, due to a computer design that kept time by starting at 4,294,967.295 seconds and counting down to zero, or 49 days, 17 hours, 2 minutes and 47.295 seconds. Some people were aware that the system needed to be restarted at least every 30 days, but the root problem was the choice of such a small number.^[8]

On May 4, 2021, Nasdaq temporarily suspended price feeds for Berkshire Hathaway Class A shares (Nasdaq: BRK.A), which reached $421,000. Nasdaq stores stock prices as 32-bit unsigned integers in increments of ten-thousandths of a dollar, so the maximum price that could be represented was $429,496.7295.^[9]

See also

• 2,147,483,647 (2³¹-1)
• Power of two
• Equilateral triangle
• Pentagon
• Heptadecagon (17-sides)
• 257-gon
• 65537-gon

References