131048064
131,048,064 is an even composite number composed of four prime numbers multiplied together.
131048064 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 131048064:
27 × 33 × 7 × 5417
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 5417)See below for interesting mathematical facts about the number 131048064 from the Numbermatics database.
Names of 131048064
- Cardinal: 131048064 can be written as One hundred thirty-one million, forty-eight thousand and sixty-four.
Scientific notation
- Scientific notation: 1.31048064 × 108
Factors of 131048064
Divisors of 131048064
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 288 336 378 384 432 448 504 576 672 756 864 896 1008 1152 1344 1512 1728 2016 2688 3024 3456 4032 5417 6048 8064 10834 12096 16251 21668 24192 32502 37919 43336 48753 65004 75838 86672 97506 113757 130008 146259 151676 173344 195012 227514 260016 292518 303352 341271 346688 390024 455028 520032 585036 606704 682542 693376 780048 910056 1023813 1040064 1170072 1213408 1365084 1560096 1820112 2047626 2080128 2340144 2426816 2730168 3120192 3640224 4095252 4680288 4853632 5460336 6240384 7280448 8190504 9360576 10920672 14560896 16381008 18721152 21841344 32762016 43682688 65524032 131048064
- Sum of all divisors σ(n): 442108800
- Sum of proper divisors (its aliquot sum) s(n): 311060736
- 131048064 is an abundant number, because the sum of its proper divisors (311060736) is greater than itself. Its abundance is 180012672
Bases of 131048064
- Binary: 1111100111110100010100000002
- Hexadecimal: 0x7CFA280
- Base-36: 260TC0
Squares and roots of 131048064
- 131048064 squared (1310480642) is 17173595078148096
- 131048064 cubed (1310480643) is 2250566386911236686086144
-
The
square root of 131048064 is 11447.6226352899 -
The
cube root of 131048064 is 507.9374134977
Scales and comparisons
How big is 131048064?- 131,048,064 seconds is equal to 4 years, 8 weeks, 4 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 131,048,064 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 131048064 cubic inches would be around 42.3 feet tall.
Recreational maths with 131048064
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