is the largest machine‐precision number that can be used on a particular computer system.


$MaxMachineNumber
is the largest machine‐precision number that can be used on a particular computer system.
Details

- Numbers larger than $MaxMachineNumber are always represented in arbitrary‐precision form.
- $MaxMachineNumber is typically 2n, where n is the maximum exponent that can be used in the internal representation of machine‐precision numbers.
Examples
open all close allScope (2)
Numbers larger than $MaxMachineNumber are represented as arbitrary precision numbers:
Properties & Relations (2)
$MaxMachineNumber has the largest possible binary exponent and all bits set to 1:
$MaxMachineNumber×$MinMachineNumber is 4.×(1.-$MachineEpsilon/2):
Tech Notes
Related Guides
History
Introduced in 1991 (2.0)
Text
Wolfram Research (1991), $MaxMachineNumber, Wolfram Language function, https://reference.wolfram.com/language/ref/$MaxMachineNumber.html.
CMS
Wolfram Language. 1991. "$MaxMachineNumber." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/$MaxMachineNumber.html.
APA
Wolfram Language. (1991). $MaxMachineNumber. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/$MaxMachineNumber.html
BibTeX
@misc{reference.wolfram_2025_$maxmachinenumber, author="Wolfram Research", title="{$MaxMachineNumber}", year="1991", howpublished="\url{https://reference.wolfram.com/language/ref/$MaxMachineNumber.html}", note=[Accessed: 07-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_$maxmachinenumber, organization={Wolfram Research}, title={$MaxMachineNumber}, year={1991}, url={https://reference.wolfram.com/language/ref/$MaxMachineNumber.html}, note=[Accessed: 07-August-2025]}