1141
Jump to navigation
Jump to search
Number
$1141$ (one thousand, one hundred and forty-one) is:
- $7 \times 163$
- The $20$th centered hexagonal number after $1$, $7$, $19$, $37$, $61$, $91$, $127$, $169$, $217$, $271$, $331$, $397$, $469$, $547$, $631$, $721$, $817$, $919$, $1027$:
- $1141 = \ds 1 + \sum_{k \mathop = 1}^{20 - 1} 6 k = 20^3 - 19^3$
- The smallest known integer whose $6$th power can be expressed as the sum of $7$ smaller $6$th powers:
- $1141^6 = 74^6 + 234^6 + 402^6 + 474^6 + 702^6 + 894^6 + 1077^6$
Also see
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $1141$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $1141$