131393146896000
131,393,146,896,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 131393146896000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3840 divisors.
131393146896000 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 131393146896000:
27 × 34 × 53 × 113 × 192 × 211
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 19 × 19 × 211)See below for interesting mathematical facts about the number 131393146896000 from the Numbermatics database.
Names of 131393146896000
- Cardinal: 131393146896000 can be written as One hundred thirty-one trillion, three hundred ninety-three billion, one hundred forty-six million, eight hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.31393146896 × 1014
Factors of 131393146896000
Divisors of 131393146896000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 25 27 30 32 33 36 38 40 44 45 48 50 54 55 57 60 64 66 72 75 76 80 81 88 90 95 96 99 100 108 110 114 120 121 125 128 132 135 144 150 152 160 162 165 171 176 180 190 192 198 200 209 211 216 220 225 228 240 242 250 264 270 275 285 288 297 300 304 320 324 330 342 352 360 361 363 375 380 384 396 400 405 418 422 432 440 450 456 475 480 484 495 500 513 528 540 550 570 576 594 600 605 608 627 633 640 648 660 675 684 704 720 722 726 750 760 792 800 810 825 836 844 855 864 880 891 900 912 950 960 968 990 1000 1026 1045 1055 1056 1080 1083 1089 1100 1125 1140 1152 1188 1200 1210 1216 1254 1266 1296 1320 1331 1350 1368 1375 1408 1425 1440 1444 1452 1485 1500 1520 1539 1584 1600 1620 1650 1672 1688 1710 1728 1760 1782 1800 1805 1815 1824 1881 1899 1900 1920 1936 1980 2000 2025 2052 2090 2110 2112 2160 2166 2178 2200 2250 2280 2299 2321 2375 2376 2400 2420 2432 2475 2508 2532 2565 2592 2640 2662 2700 2736 2750 2850 2880 2888 2904 2970 3000 3025 3040 3078 3135 3165 3168 3200 3240 3249 3267 3300 3344 3375 3376 3420 3456 3520 3564 3600 3610 3630 3648 3762 3798 3800 3872 3960 3971 3993 4000 4009 4050 4104 4125 4180 4220 4224 4275 4320 4332 4356 4400 4455 4500 4560 4598 4642 4750 4752 4800 4840 4950 5016 5064 5130 5184 5225 5275 5280 5324 5400 5415 5445 5472 5500 5643 5697 5700 5760 5776 5808 5940 6000 6050 6080 6156 6270 6330 6336 6480 6498 6534 6600 6655 6688 6750 6752 6840 6897 6963 7040 7125 7128 7200 7220 7260 7296 7425 7524 7596 7600 7695 7744 7920 7942 7986 8000 8018 8100 8208 8250 8360 8440 8550 8640 8664 8712 8800 8910 9000 9025 9075 9120 9196 9284 9405 9495 9500 9504 9600 9680 9747 9801 9900 10032 10125 10128 10260 10368 10450 10550 10560 10648 10800 10830 10890 10944 11000 11286 11394 11400 11495 11552 11605 11616 11880 11913 11979 12000 12027 12100 12160 12312 12375 12540 12660 12672 12825 12960 12996 13068 13200 13310 13376 13500 13504 13680 13794 13926 14250 14256 14400 14440 14520 14850 15048 15125 15192 15200 15390 15488 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746551971000 768380976000 796322102400 811068808000 821207168100 864428598000 875954312640 912452409000 973282569600 995402628000 1026508960125 1051145175168 1085893776000 1094942890800 1152571464000 1194483153600 1216603212000 1313931468960 1327203504000 1368678613500 1383085756800 1459923854400 1493103942000 1622137616000 1642414336200 1728857196000 1751908625280 1824904818000 1990805256000 2053017920250 2189885781600 2305142928000 2388966307200 2433206424000 2627862937920 2737357227000 2919847708800 2986207884000 3284828672400 3457714392000 3649809636000 3981610512000 4106035840500 4379771563200 4866412848000 5255725875840 5474714454000 5972415768000 6569657344800 6915428784000 7299619272000 8212071681000 8759543126400 10949428908000 11944831536000 13139314689600 14599238544000 16424143362000 21898857816000 26278629379200 32848286724000 43797715632000 65696573448000 131393146896000
- Sum of all divisors σ(n): 569183186183040
- Sum of proper divisors (its aliquot sum) s(n): 437790039287040
- 131393146896000 is an abundant number, because the sum of its proper divisors (437790039287040) is greater than itself. Its abundance is 306396892391040
Bases of 131393146896000
- Binary: 111011110000000010110011101100010111110100000002
- Hexadecimal: 0x778059D8BE80
- Base-36: 1AKP6F6W00
Squares and roots of 131393146896000
- 131393146896000 squared (1313931468960002) is 17264159051233834434816000000
- 131393146896000 cubed (1313931468960003) is 2268392186254675197939121824731136000000000
-
The
square root of 131393146896000 is 11462684.9776132295 -
The
cube root of 131393146896000 is 50838.2865545979
Scales and comparisons
How big is 131393146896000?- 131,393,146,896,000 seconds is equal to 4,177,895 years, 33 weeks, 4 days.
-
To count from 1 to 131,393,146,896,000 would take you about ten million, four hundred forty-four thousand, seven hundred thirty-nine 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 131393146896000 cubic inches would be around 4236.5 feet tall.
Recreational maths with 131393146896000
- 131393146896000 backwards is 000698641393131
- 131393146896000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131393146896000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 131393146896000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 131393146896000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/131393146896000/
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The information we have on file for 131393146896000 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 131393146896000, math, Factors of 131393146896000, curriculum, school, college, exams, university, Prime factorization of 131393146896000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one trillion, three hundred ninety-three billion, one hundred forty-six million, eight hundred ninety-six thousand.