जै · The Jain Encyclopedia
Humans: the one countable class · twenty-nine digits

The fewest of all

मनुष्य · संख्यात

Of every class of living being, humans are the fewest - the only rung of the first ladder that is countable at all. The commentators even give the most there can be at once: the number that yields ninety-six halvings, 2^96 − 1, twenty-nine digits long.

The Prajñāpanā says humans are saṃkhyāta, countable, and puts them at the foot of the ladder of destinies. The commentaries on it and on the Jīvābhigama go further and fix the maximum for humans born of the womb by a cutting: the largest number that can be halved ninety-six times before it reaches one. That is 2^96 − 1, which the atlas prints in full and checks by arithmetic: 79,22,81,62,51,42,64,33,75,93,54,39,50,335.

Everything above that rung is beyond counting. Hell-beings are innumerably more than this number; gods innumerably more than hell-beings; siddhas infinitely more than gods; and the nigoda infinitely more again. The view draws the ninety-six doublings as a staircase because a staircase can be drawn, and leaves the rungs above it as words, because nothing else can.

Twenty-nine digits: the most humans there can be at oncethe commentators on Prajñāpanā 3 and the Jīvābhigama: the number with ninety-six cuttings2^96 − 1, checked by arithmetic; everything above this rung is beyond counting2^12^82^162^322^642^96ninety-six doublings, each tread one chedanakaTHE MOST HUMANS BORN OF THE WOMB, AT ONCE79,22,81,62,51,42,64,33,75,93,54,39,50,335two to the ninety-sixth, less one - so that it halves exactly ninety-six timesTHE RUNGS ABOVE, WHICH NO STAIRCASE REACHEShell-beings: innumerably many times more than thisgods: innumerably many times more than the hell-beingssiddhas: infinitely many times more than the godsthe nigoda, among the plants: infinitely many times more than the siddhas
Twenty-nine digits: the most humans there can be - The fewest of all highlighted

Measurements and counts

Classsaṃkhyāta - countable
Most at once79,22,81,62,51,42,64,33,75,93,54,39,50,335
As a power2^96 − 1
Digits29
Next rung uphell-beings - innumerably more
Sourcethe commentators on Prajñāpanā 3 and the Jīvābhigama

Connected

Open in the interactive atlas →

समयं गोयम! मा पमायए

Do not be heedless, Gautama, for even a single samaya.

Uttarādhyayana Sūtra 10