130835936448000
130,835,936,448,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 130835936448000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3840 divisors.
130835936448000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 130835936448000:
29 × 33 × 53 × 72 × 233 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 23 × 23 × 23 × 127)See below for interesting mathematical facts about the number 130835936448000 from the Numbermatics database.
Names of 130835936448000
- Cardinal: 130835936448000 can be written as One hundred thirty trillion, eight hundred thirty-five billion, nine hundred thirty-six million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.30835936448 × 1014
Factors of 130835936448000
Divisors of 130835936448000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 25 27 28 30 32 35 36 40 42 45 46 48 49 50 54 56 60 63 64 69 70 72 75 80 84 90 92 96 98 100 105 108 112 115 120 125 126 127 128 135 138 140 144 147 150 160 161 168 175 180 184 189 192 196 200 207 210 216 224 225 230 240 245 250 252 254 256 270 276 280 288 294 300 315 320 322 336 345 350 360 368 375 378 381 384 392 400 414 420 432 441 448 450 460 480 483 490 500 504 508 512 525 529 540 552 560 575 576 588 600 621 630 635 640 644 672 675 690 700 720 735 736 750 756 762 768 784 800 805 828 840 864 875 882 889 896 900 920 945 960 966 980 1000 1008 1016 1035 1050 1058 1080 1104 1120 1125 1127 1143 1150 1152 1176 1200 1225 1242 1260 1270 1280 1288 1323 1344 1350 1380 1400 1440 1449 1470 1472 1500 1512 1524 1536 1568 1575 1587 1600 1610 1656 1680 1725 1728 1750 1764 1778 1792 1800 1840 1890 1905 1920 1932 1960 2000 2016 2032 2070 2100 2116 2160 2205 2208 2240 2250 2254 2286 2300 2304 2352 2400 2415 2450 2484 2520 2540 2560 2576 2625 2645 2646 2667 2688 2700 2760 2800 2875 2880 2898 2921 2940 2944 3000 3024 3048 3105 3136 3150 3174 3175 3200 3220 3312 3360 3375 3381 3429 3450 3456 3500 3528 3556 3584 3600 3675 3680 3703 3780 3810 3840 3864 3920 4000 4025 4032 4064 4140 4200 4232 4320 4347 4410 4416 4445 4480 4500 4508 4572 4600 4608 4704 4725 4761 4800 4830 4900 4968 5040 5080 5152 5175 5250 5290 5292 5334 5376 5400 5520 5600 5635 5715 5750 5760 5796 5842 5880 5888 6000 6048 6096 6125 6210 6223 6272 6300 6348 6350 6400 6440 6615 6624 6720 6750 6762 6858 6900 6912 7000 7056 7112 7200 7245 7350 7360 7406 7560 7620 7680 7728 7840 7875 7935 8000 8001 8050 8064 8128 8280 8400 8464 8625 8640 8694 8763 8820 8832 8890 8960 9000 9016 9144 9200 9408 9450 9522 9525 9600 9660 9800 9936 10080 10143 10160 10304 10350 10500 10580 10584 10668 10752 10800 11025 11040 11109 11200 11270 11430 11500 11520 11592 11684 11760 11776 12000 12075 12096 12167 12192 12250 12420 12446 12544 12600 12696 12700 12800 12880 13225 13230 13248 13335 13440 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872239576320 890040384000 908582892000 934542403200 948086496000 969155084800 1022155753500 1030204224000 1038380448000 1046687491584 1090299470400 1137703795200 1168178004000 1211443856000 1246056537600 1308359364480 1335060576000 1362874338000 1422129744000 1453732627200 1557570672000 1635449205600 1744479152640 1817165784000 1869084806400 1896172992000 2044311507000 2076760896000 2180598940800 2336356008000 2422887712000 2616718728960 2670121152000 2725748676000 2844259488000 2907465254400 3115141344000 3270898411200 3634331568000 3738169612800 4088623014000 4361197881600 4672712016000 4845775424000 5233437457920 5451497352000 5688518976000 6230282688000 6541796822400 7268663136000 8177246028000 8722395763200 9345424032000 10902994704000 13083593644800 14537326272000 16354492056000 18690848064000 21805989408000 26167187289600 32708984112000 43611978816000 65417968224000 130835936448000
- Sum of all divisors σ(n): 592423339622400
- Sum of proper divisors (its aliquot sum) s(n): 461587403174400
- 130835936448000 is an abundant number, because the sum of its proper divisors (461587403174400) is greater than itself. Its abundance is 330751466726400
Bases of 130835936448000
- Binary: 111011011111110100111011000010000001110000000002
- Hexadecimal: 0x76FE9D840E00
- Base-36: 1ADL76H6O0
Squares and roots of 130835936448000
- 130835936448000 squared (1308359364480002) is 17118042266225094856704000000
- 130835936448000 cubed (1308359364480003) is 2239655090058004407534496210747392000000000
-
The
square root of 130835936448000 is 11438353.7472837411 -
The
cube root of 130835936448000 is 50766.3199324883
Scales and comparisons
How big is 130835936448000?- 130,835,936,448,000 seconds is equal to 4,160,178 years, 4 weeks.
-
To count from 1 to 130,835,936,448,000 would take you about ten million, four hundred thousand, four hundred forty-five 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 130835936448000 cubic inches would be around 4230.5 feet tall.
Recreational maths with 130835936448000
- 130835936448000 backwards is 000844639538031
- 130835936448000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 130835936448000's digits is 54
- More coming soon!
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MLA style:
"Number 130835936448000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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Numbermatics. (2024). Number 130835936448000 - Facts about the integer. Retrieved 9 May 2024, from https://numbermatics.com/n/130835936448000/
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The information we have on file for 130835936448000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 130835936448000, math, Factors of 130835936448000, curriculum, school, college, exams, university, Prime factorization of 130835936448000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty trillion, eight hundred thirty-five billion, nine hundred thirty-six million, four hundred forty-eight thousand.