131364438912000
131,364,438,912,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 131364438912000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 4224 divisors.
131364438912000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of four thousand, two hundred twenty-four divisors.
Prime factorization of 131364438912000:
210 × 32 × 53 × 7 × 17 × 23 × 61 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 17 × 23 × 61 × 683)See below for interesting mathematical facts about the number 131364438912000 from the Numbermatics database.
Names of 131364438912000
- Cardinal: 131364438912000 can be written as One hundred thirty-one trillion, three hundred sixty-four billion, four hundred thirty-eight million, nine hundred twelve thousand.
Scientific notation
- Scientific notation: 1.31364438912 × 1014
Factors of 131364438912000
Divisors of 131364438912000
- Number of divisors d(n): 4224
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 23 24 25 28 30 32 34 35 36 40 42 45 46 48 50 51 56 60 61 63 64 68 69 70 72 75 80 84 85 90 92 96 100 102 105 112 115 119 120 122 125 126 128 136 138 140 144 150 153 160 161 168 170 175 180 183 184 192 200 204 207 210 224 225 230 238 240 244 250 252 255 256 272 276 280 288 300 305 306 315 320 322 336 340 345 350 357 360 366 368 375 384 391 400 408 414 420 425 427 448 450 460 476 480 483 488 500 504 510 512 525 544 549 552 560 575 576 595 600 610 612 630 640 644 672 680 683 690 700 714 720 732 736 750 765 768 782 800 805 816 828 840 850 854 875 896 900 915 920 952 960 966 976 1000 1008 1020 1024 1035 1037 1050 1071 1088 1098 1104 1120 1125 1150 1152 1173 1190 1200 1220 1224 1260 1275 1280 1281 1288 1344 1360 1366 1380 1400 1403 1428 1440 1449 1464 1472 1500 1525 1530 1536 1564 1575 1600 1610 1632 1656 1680 1700 1708 1725 1750 1785 1792 1800 1830 1840 1904 1920 1932 1952 1955 2000 2016 2040 2049 2070 2074 2100 2125 2135 2142 2176 2196 2208 2240 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538378848000 547351828800 551951424000 571149734400 583841950720 586448388000 625544947200 634610816000 643943328000 656822194560 684189786000 713937168000 717838464000 729802438400 750653936640 772731993600 781931184000 815928192000 821027743200 858591104000 875762926080 912253048000 938317420800 951916224000 965914992000 1026284679000 1042574912000 1050915511296 1076757696000 1094703657600 1103902848000 1142299468800 1172896776000 1251089894400 1287886656000 1313644389120 1368379572000 1427874336000 1459604876800 1545463987200 1563862368000 1642055486400 1751525852160 1824506096000 1876634841600 1903832448000 1931829984000 2052569358000 2085149824000 2153515392000 2189407315200 2345793552000 2575773312000 2627288778240 2736759144000 2855748672000 2919209753600 3127724736000 3284110972800 3649012192000 3753269683200 3863659968000 4105138716000 4378814630400 4691587104000 5254577556480 5473518288000 5711497344000 6255449472000 6568221945600 7298024384000 7727319936000 8210277432000 8757629260800 9383174208000 10947036576000 13136443891200 14596048768000 16420554864000 18766348416000 21894073152000 26272887782400 32841109728000 43788146304000 65682219456000 131364438912000
- Sum of all divisors σ(n): 608425374855168
- Sum of proper divisors (its aliquot sum) s(n): 477060935943168
- 131364438912000 is an abundant number, because the sum of its proper divisors (477060935943168) is greater than itself. Its abundance is 345696497031168
Bases of 131364438912000
- Binary: 111011101111001101010101011011110101100000000002
- Hexadecimal: 0x7779AAB7AC00
- Base-36: 1AKBZN75S0
Squares and roots of 131364438912000
- 131364438912000 squared (1313644389120002) is 17256615810664579743744000000
- 131364438912000 cubed (1313644389120003) is 2266905653487900543869211302166528000000000
-
The
square root of 131364438912000 is 11461432.6727508197 -
The
cube root of 131364438912000 is 50834.5837459993
Scales and comparisons
How big is 131364438912000?- 131,364,438,912,000 seconds is equal to 4,176,982 years, 42 weeks, 4 days, 16 hours.
-
To count from 1 to 131,364,438,912,000 would take you about ten million, four hundred forty-two thousand, four hundred fifty-seven 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 131364438912000 cubic inches would be around 4236.2 feet tall.
Recreational maths with 131364438912000
- 131364438912000 backwards is 000219834463131
- 131364438912000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 131364438912000's digits is 45
- More coming soon!
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"Number 131364438912000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 131364438912000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/131364438912000/
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The information we have on file for 131364438912000 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 131364438912000, math, Factors of 131364438912000, curriculum, school, college, exams, university, Prime factorization of 131364438912000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-one trillion, three hundred sixty-four billion, four hundred thirty-eight million, nine hundred twelve thousand.