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Eulerchime or Echime is a number with the first 1,000 digits of Euler's number without the decimal point (including the first one).[1]. This number is also equal to $$\lfloor e\times 10^{999}\rfloor$$. It's equal to:

2718281828459045235360287471352662497757247093699959574966967627724076630353547594571382178525166427427466391932003059921817413596629043572900334295260595630738132328627943490763233829880753195251019011573834187930702154089149934884167509244761460668082264800168477411853742345442437107539077744992069551702761838606261331384583000752044933826560297606737113200709328709127443747047230696977209310141692836819025515108657463772111252389784425056953696770785449969967946864454905987931636889230098793127736178215424999229576351482208269895193668033182528869398496465105820939239829488793320362509443117301238197068416140397019837679320683282376464804295311802328782509819455815301756717361332069811250996181881593041690351598888519345807273866738589422879228499892086805825749279610484198444363463244968487560233624827041978623209002160990235304369941849146314093431738143640546253152096183690888707016768396424378140592714563549061303107208510383750510115747704171898610687396965521267154688957035035

This number is named by combining the -chime suffix with the name of Euler's number. The name was coined by Wikia user Unknown95387.

The first three prime factors of Eulerchime are 5, 10,436,037,757, and 12,478,758,287.

## Approximations

Notation Lower bound Upper bound
Scientific notation $$2.718\times10^{999}$$ $$2.719\times10^{999}$$
Arrow notation $$159\uparrow454$$ $$115\uparrow485$$
Steinhaus-Moser Notation 386[3] 387[3]
Copy notation 2[1000] 3[1000]
Taro's multivariable Ackermann function A(3,3317) A(3,3318)
Pound-Star Notation #*((15))*19 #*((16))*19
BEAF {159,454} {115,485}
Hyper-E notation 2E999 3E999
Bashicu matrix system (0)(1)[3] (0)(1)[4]
Hyperfactorial array notation 449! 450!
Fast-growing hierarchy $$f_2(3\,308)$$ $$f_2(3\,309)$$
Hardy hierarchy $$H_{\omega^2}(3\,308)$$ $$H_{\omega^2}(3\,309)$$
Slow-growing hierarchy $$g_{\omega^{\omega2+136}}(159)$$ $$g_{\omega^{\omega10+49}12}(53)$$

## Sources

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