FANDOM


The quattuorcentillion is equal to \(10^{315}\) in the short scale and \(10^{624}\) in the long scale.[1]

The least example \(n\) of \(\pi(n) > li(n)\) must be smaller than 14 quattuorcentillion.

In the long scale, \(10^{315}\) is called duoquinquagintilliard.

ApproximationsEdit

Notation Lower bound Upper bound
Scientific notation \(1\times10^{315}\)
Arrow notation \(10\uparrow315\)
Steinhaus-Moser Notation 145[3] 146[3]
Copy notation 9[315] 10[158]
Taro's multivariable Ackermann function A(3,1043) A(3,1044)
Pound-Star Notation #*((1173))*11 #*((1174))*11
BEAF {10,315}
Hyper-E notation E315
Bashicu matrix system (0)(0)(0)(0)(0)(0)[83536] (0)(0)(0)(0)(0)(0)[83537]
Hyperfactorial array notation 173! 174!
Fast-growing hierarchy \(f_2(1\,036)\) \(f_2(1\,037)\)
Hardy hierarchy \(H_{\omega^2}(1\,036)\) \(H_{\omega^2}(1\,037)\)
Slow-growing hierarchy \(g_{\omega^{\omega^23+\omega+5}}(10)\)

Sources Edit

  1. Sbiis Saibian, 2.4.8 - Bowers' -illions - Large Numbers

See also Edit

Main article: -illion
100–109: centillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
110–119: decicentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
120–129: viginticentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
130–139: trigintacentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
140–149: quadragintacentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
150–159: quinquagintacentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
160–169: sexagintacentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
170–179: septuagintacentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
180–189: octogintacentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
190–199: nonagintacentillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
Community content is available under CC-BY-SA unless otherwise noted.