131334144
131,334,144 is an even composite number composed of three prime numbers multiplied together.
What does the number 131334144 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 76 divisors.
131334144 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seventy-six divisors.
Prime factorization of 131334144:
218 × 3 × 167
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 167)See below for interesting mathematical facts about the number 131334144 from the Numbermatics database.
Names of 131334144
- Cardinal: 131334144 can be written as One hundred thirty-one million, three hundred thirty-four thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.31334144 × 108
Factors of 131334144
Divisors of 131334144
- Number of divisors d(n): 76
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Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 256 334 384 501 512 668 768 1002 1024 1336 1536 2004 2048 2672 3072 4008 4096 5344 6144 8016 8192 10688 12288 16032 16384 21376 24576 32064 32768 42752 49152 64128 65536 85504 98304 128256 131072 171008 196608 256512 262144 342016 393216 513024 684032 786432 1026048 1368064 2052096 2736128 4104192 5472256 8208384 10944512 16416768 21889024 32833536 43778048 65667072 131334144
- Sum of all divisors σ(n): 352320864
- Sum of proper divisors (its aliquot sum) s(n): 220986720
- 131334144 is an abundant number, because the sum of its proper divisors (220986720) is greater than itself. Its abundance is 89652576
Bases of 131334144
- Binary: 1111101010000000000000000002
- Hexadecimal: 0x7D40000
- Base-36: 266Y2O
Squares and roots of 131334144
- 131334144 squared (1313341442) is 17248657380212736
- 131334144 cubed (1313341443) is 2265337652179522220457984
-
The
square root of 131334144 is 11460.1109942269 -
The
cube root of 131334144 is 508.3067566743
Scales and comparisons
How big is 131334144?- 131,334,144 seconds is equal to 4 years, 9 weeks, 1 day, 1 hour, 42 minutes, 24 seconds.
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To count from 1 to 131,334,144 would take you about six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 131334144 cubic inches would be around 42.4 feet tall.
Recreational maths with 131334144
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