जै · The Jain Encyclopedia
The largest countable unit

Śīrṣaprahelikā

शीर्षप्रहेलिका

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.

10⁻¹² y10⁻⁹ y10⁻⁶ y10⁻³ y10⁰ yĀvalikā≈ 1 / 5,800 secondKṣullaka bhava≈ 1 / 23 second · the shortest life there isPrāṇa · one breath≈ 0.76 second · 3,773 per muhūrtaStoka7 breaths · ≈ 5.3 secondsLava7 stoka · ≈ 37 secondsMuhūrta77 lava · 48 minutesAhorātra · a day30 muhūrtaMāsa · a month2 pakṣa · 30 daysVarṣa · a year12 monthsSamayaindivisible · no number can be put to it17 lives in one breath.The shortest life a being can hold is 256 āvalikā,about a twenty-third of a second.a human life≈ 80 yearsall recorded history≈ 5,000 yearsthe age of the universe≈ 1.38 × 10¹⁰ yearsPūrvāṅga · 84,00,000 yearsPūrva≈ 5,000 × the age of the universe7.056 × 10¹³ yTruṭita4.98 × 10²⁷ yAḍaḍa3.51 × 10⁴¹ yAvava2.48 × 10⁵⁵ yHūhūka1.75 × 10⁶⁹ yUtpala1.23 × 10⁸³ yPadma8.71 × 10⁹⁶ yNalina6.14 × 10¹¹⁰ yArthanipūra4.34 × 10¹²⁴ yAyuta3.06 × 10¹³⁸ yNayuta2.16 × 10¹⁵² yPrayuta1.52 × 10¹⁶⁶ yCūlikā1.08 × 10¹⁸⁰ yŚīrṣaprahelikāa number of 194 digits · counting stops here7.58 × 10¹⁹³ yPudgala parāvartainfinite wheels of timeSāgaropama10 crore-crore palyopamaPalyopamaa pit of hair, emptiedpast counting — measured by analogybelow a year · fixed, countable stepsa year and above · every step × 84,00,000→ time is measured only in the human world→ is time a substance? the traditions differ
The units of time — Śīrṣaprahelikā highlighted

Measurements and counts

Position28 of 28
Value(84,00,000)^28
In years≈ 7.58 × 10¹⁹³
PreviousCūlikā
Nextnothing — counting stops

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समयं गोयम! मा पमायए

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

Uttarādhyayana Sūtra 10