13861656144000
13,861,656,144,000 is an even composite number composed of five prime numbers multiplied together.
13861656144000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13861656144000:
27 × 33 × 53 × 7 × 21412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 2141 × 2141)See below for interesting mathematical facts about the number 13861656144000 from the Numbermatics database.
Names of 13861656144000
- Cardinal: 13861656144000 can be written as Thirteen trillion, eight hundred sixty-one billion, six hundred fifty-six million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.3861656144 × 1013
Factors of 13861656144000
Divisors of 13861656144000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 120 125 126 128 135 140 144 150 160 168 175 180 189 192 200 210 216 224 225 240 250 252 270 280 288 300 315 320 336 350 360 375 378 384 400 420 432 448 450 480 500 504 525 540 560 576 600 630 640 672 675 700 720 750 756 800 840 864 875 896 900 945 960 1000 1008 1050 1080 1120 1125 1152 1200 1260 1344 1350 1400 1440 1500 1512 1575 1600 1680 1728 1750 1800 1890 1920 2000 2016 2100 2141 2160 2240 2250 2400 2520 2625 2688 2700 2800 2880 3000 3024 3150 3200 3360 3375 3456 3500 3600 3780 4000 4032 4200 4282 4320 4480 4500 4725 4800 5040 5250 5400 5600 5760 6000 6048 6300 6423 6720 6750 7000 7200 7560 7875 8000 8064 8400 8564 8640 9000 9450 9600 10080 10500 10705 10800 11200 12000 12096 12600 12846 13440 13500 14000 14400 14987 15120 15750 16000 16800 17128 17280 18000 18900 19269 20160 21000 21410 21600 22400 23625 24000 24192 25200 25692 27000 28000 28800 29974 30240 31500 32115 33600 34256 36000 37800 38538 40320 42000 42820 43200 44961 47250 48000 50400 51384 53525 54000 56000 57807 59948 60480 63000 64230 67200 68512 72000 74935 75600 77076 84000 85640 86400 89922 94500 96345 100800 102768 107050 108000 112000 115614 119896 120960 126000 128460 134883 137024 144000 149870 151200 154152 160575 168000 171280 179844 189000 192690 201600 205536 214100 216000 224805 231228 239792 252000 256920 267625 269766 274048 289035 299740 302400 308304 321150 336000 342560 359688 374675 378000 385380 404649 411072 428200 432000 449610 462456 479584 481725 504000 513840 535250 539532 578070 599480 604800 616608 642300 674415 685120 719376 749350 756000 770760 802875 809298 822144 856400 899220 924912 959168 963450 1008000 1027680 1070500 1079064 1124025 1156140 1198960 1233216 1284600 1348830 1370240 1438752 1445175 1498700 1512000 1541520 1605750 1618596 1712800 1798440 1849824 1873375 1918336 1926900 2023245 2055360 2141000 2158128 2248050 2312280 2397920 2408625 2466432 2569200 2697660 2877504 2890350 2997400 3024000 3083040 3211500 3237192 3372075 3425600 3596880 3699648 3746750 3853800 4046490 4110720 4282000 4316256 4496100 4583881 4624560 4795840 4817250 5138400 5395320 5620125 5755008 5780700 5994800 6166080 6423000 6474384 6744150 6851200 7193760 7225875 7399296 7493500 7707600 8092980 8564000 8632512 8992200 9167762 9249120 9591680 9634500 10116225 10276800 10790640 11240250 11561400 11989600 12332160 12846000 12948768 13488300 13751643 14387520 14451750 14987000 15415200 16185960 16860375 17128000 17265024 17984400 18335524 18498240 19269000 20232450 20553600 21581280 22480500 22919405 23122800 23979200 25692000 25897536 26976600 27503286 28775040 28903500 29974000 30830400 32087167 32371920 33720750 34256000 35968800 36671048 36996480 38538000 40464900 41254929 43162560 44961000 45838810 46245600 47958400 50581125 51384000 51795072 53953200 55006572 57807000 59948000 61660800 64174334 64743840 67441500 68758215 71937600 73342096 77076000 80929800 82509858 86325120 89922000 91677620 92491200 96261501 101162250 102768000 107906400 110013144 114597025 115614000 119896000 123764787 128348668 129487680 134883000 137516430 143875200 146684192 154152000 160435835 161859600 165019716 179844000 183355240 184982400 192523002 202324500 206274645 215812800 220026288 229194050 231228000 239792000 247529574 256697336 258975360 269766000 275032860 288784503 293368384 308304000 320871670 323719200 330039432 343791075 359688000 366710480 385046004 404649000 412549290 431625600 440052576 458388100 462456000 481307505 495059148 513394672 539532000 550065720 572985125 577569006 586736768 618823935 641743340 647438400 660078864 687582150 719376000 733420960 770092008 802179175 809298000 825098580 866353509 880105152 916776200 924912000 962615010 990118296 1026789344 1031373225 1079064000 1100131440 1145970250 1155138012 1237647870 1283486680 1294876800 1320157728 1375164300 1443922515 1466841920 1540184016 1604358350 1618596000 1650197160 1718955375 1732707018 1760210304 1833552400 1925230020 1980236592 2053578688 2062746450 2158128000 2200262880 2291940500 2310276024 2406537525 2475295740 2566973360 2640315456 2750328600 2887845030 2933683840 3080368032 3094119675 3208716700 3237192000 3300394320 3437910750 3465414036 3667104800 3850460040 3960473184 4010895875 4107157376 4125492900 4331767545 4400525760 4583881000 4620552048 4813075050 4950591480 5133946720 5156866125 5280630912 5500657200 5775690060 6160736064 6188239350 6417433400 6474384000 6600788640 6875821500 6930828072 7219612575 7334209600 7700920080 7920946368 8021791750 8250985800 8663535090 8801051520 9167762000 9241104096 9626150100 9901182960 10267893440 10313732250 11001314400 11551380120 12032687625 12321472128 12376478700 12834866800 13201577280 13751643000 13861656144 14439225150 14668419200 15401840160 15470598375 15841892736 16043583500 16501971600 17327070180 18335524000 18482208192 19252300200 19802365920 20535786880 20627464500 21658837725 22002628800 23102760240 24065375250 24752957400 25669733600 26403154560 27503286000 27723312288 28878450300 30803680320 30941196750 32087167000 33003943200 34654140360 36098062875 36671048000 36964416384 38504600400 39604731840 41254929000 43317675450 44005257600 46205520480 48130750500 49505914800 51339467200 55006572000 55446624576 57756900600 61607360640 61882393500 64174334000 66007886400 69308280720 72196125750 73342096000 77009200800 79209463680 82509858000 86635350900 92411040960 96261501000 99011829600 102678934400 108294188625 110013144000 110893249152 115513801200 123764787000 128348668000 132015772800 138616561440 144392251500 154018401600 165019716000 173270701800 184822081920 192523002000 198023659200 216588377250 220026288000 231027602400 247529574000 256697336000 277233122880 288784503000 308036803200 330039432000 346541403600 385046004000 396047318400 433176754500 462055204800 495059148000 513394672000 554466245760 577569006000 660078864000 693082807200 770092008000 866353509000 924110409600 990118296000 1155138012000 1386165614400 1540184016000 1732707018000 1980236592000 2310276024000 2772331228800 3465414036000 4620552048000 6930828072000 13861656144000
- Sum of all divisors σ(n): 58378238380800
- Sum of proper divisors (its aliquot sum) s(n): 44516582236800
- 13861656144000 is an abundant number, because the sum of its proper divisors (44516582236800) is greater than itself. Its abundance is 30654926092800
Bases of 13861656144000
- Binary: 110010011011011010110001011100101000100000002
- Hexadecimal: 0xC9B6B172880
- Base-36: 4WVYG65C0
Squares and roots of 13861656144000
- 13861656144000 squared (138616561440002) is 192145511054492948736000000
- 13861656144000 cubed (138616561440003) is 2663455003850532101651051433984000000000
-
The
square root of 13861656144000 is 3723124.5136309905 -
The
cube root of 13861656144000 is 24021.7719932073
Scales and comparisons
How big is 13861656144000?- 13,861,656,144,000 seconds is equal to 440,757 years, 41 weeks.
-
To count from 1 to 13,861,656,144,000 would take you about one million, one hundred one thousand, eight hundred ninety-four 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 13861656144000 cubic inches would be around 2001.8 feet tall.
Recreational maths with 13861656144000
- 13861656144000 backwards is 00044165616831
- 13861656144000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13861656144000's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13861656144000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 13861656144000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/13861656144000/
Chicago style:
Numbermatics. 2024. "Number 13861656144000 - Facts about the integer". https://numbermatics.com/n/13861656144000/
The information we have on file for 13861656144000 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 13861656144000, math, Factors of 13861656144000, curriculum, school, college, exams, university, Prime factorization of 13861656144000, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, eight hundred sixty-one billion, six hundred fifty-six million, one hundred forty-four thousand.