Śīrṣaprahelikā
The last unit that can be written as a number. About 7.58 × 10¹⁹³ years, 194 digits long.
The last countable unit. 84,00,000 raised to the power of 28: about 7.58 × 10¹⁹³ years, a number of 194 digits. The Anuyogadvāra Sūtra writes it out digit by digit.
To put 194 digits in some perspective, the observable universe is thought to contain around 10⁸⁰ atoms. This count of years exceeds that count of atoms by a factor of roughly 10¹¹³.
And this is where the method changes. Above śīrṣaprahelikā the texts stop counting altogether and switch to analogy: the Palyopama, defined by the emptying of a pit. Nothing in Jain cosmology that actually matters, no lifespan in the heavens or hells, no spoke of the wheel of time, is small enough to be given in years at all.
The tradition is explicit that this is a change of kind, not of degree. What lies above is asaṃkhyāta, innumerable: finite, real, and permanently beyond arithmetic.
Measurements and counts
| Position | 28 of 28 |
|---|---|
| Value | (84,00,000)^28 |
| In years | ≈ 7.58 × 10¹⁹³ |
| Previous | Cūlikā |
| Next | nothing — counting stops |