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Built-in Mathematica Symbol

$MaxMachineNumber

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

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.

The largest hardware floating point number:

Numbers larger than $MaxMachineNumber are represented as arbitrary precision numbers:

Find the maximum machine number algorithmatically:

$MaxMachineNumber has the largest possible binary exponent and all bits set to 1:

$MaxMachineNumber×$MinMachineNumber is 4.×(1.-$MachineEpsilon/2):

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