13137853472064000
13,137,853,472,064,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13137853472064000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2560 divisors.
13137853472064000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred sixty divisors.
Prime factorization of 13137853472064000:
29 × 33 × 53 × 137 × 193 × 421 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 137 × 193 × 421 × 683)See below for interesting mathematical facts about the number 13137853472064000 from the Numbermatics database.
Names of 13137853472064000
- Cardinal: 13137853472064000 can be written as Thirteen quadrillion, one hundred thirty-seven trillion, eight hundred fifty-three billion, four hundred seventy-two million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.3137853472064 × 1016
Factors of 13137853472064000
Divisors of 13137853472064000
- Number of divisors d(n): 2560
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 128 135 137 144 150 160 180 192 193 200 216 225 240 250 256 270 274 288 300 320 360 375 384 386 400 411 421 432 450 480 500 512 540 548 576 579 600 640 675 683 685 720 750 768 772 800 822 842 864 900 960 965 1000 1080 1096 1125 1152 1158 1200 1233 1263 1280 1350 1366 1370 1440 1500 1536 1544 1600 1644 1684 1728 1737 1800 1920 1930 2000 2049 2055 2105 2160 2192 2250 2304 2316 2400 2466 2526 2560 2700 2732 2740 2880 2895 3000 3088 3200 3288 3368 3375 3415 3425 3456 3474 3600 3699 3789 3840 3860 4000 4098 4110 4210 4320 4384 4500 4608 4632 4800 4825 4932 5052 5211 5400 5464 5480 5760 5790 6000 6147 6165 6176 6315 6400 6576 6736 6750 6830 6850 6912 6948 7200 7398 7578 7680 7720 8000 8196 8220 8420 8640 8685 8768 9000 9264 9600 9650 9864 10104 10245 10275 10422 10525 10800 10928 10960 11367 11520 11580 12000 12294 12330 12352 12630 12800 13152 13472 13500 13660 13700 13824 13896 14400 14475 14796 15156 15440 16000 16392 16440 16840 17075 17125 17280 17370 17536 18000 18441 18495 18528 18945 19200 19300 19728 20208 20490 20550 20844 21050 21600 21856 21920 22734 23040 23160 24000 24125 24588 24660 24704 25260 26055 26304 26441 26944 27000 27320 27400 27792 28800 28950 29592 30312 30735 30825 30880 31575 32000 32784 32880 33680 34150 34250 34560 34740 35072 36000 36882 36990 37056 37890 38400 38600 39456 40416 40980 41100 41688 42100 43200 43425 43712 43840 45468 46320 48000 48250 49176 49320 49408 50520 51225 51375 52110 52608 52625 52882 53888 54000 54640 54800 55584 56835 57600 57677 57900 59184 60624 61470 61650 61760 63150 64000 65568 65760 67360 68300 68500 69120 69480 70144 72000 72375 73764 73980 74112 75780 77200 78912 79323 80832 81253 81960 82200 83376 84200 85375 86400 86850 87424 87680 90936 92205 92475 92640 93571 94725 96000 96500 98352 98640 98816 101040 102450 102750 104220 105216 105250 105764 107776 108000 109280 109600 111168 113670 115200 115354 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236360346000 239741851680 240443877600 243293582816 243799240500 248437152000 249650422272 249731095500 252117702400 255724641792 256473469440 260052523200 265905389250 266379835200 267159864000 272287118592 273705280668 283632415200 288947248000 299677314600 300554847000 302541242880 304116978520 312063027840 315147128000 319655802240 320591836800 325065654000 332974794000 340358898240 342131600835 346736697600 354540519000 355173113600 356213152000 364940374224 374596643250 378176553600 380146223150 383586962688 384710204160 390078784800 399569752800 400739796000 410557921002 416084037120 425448622800 426207736320 427455782400 433420872000 443966392000 453811864320 456175467780 472720692000 479483703360 480887755200 486587165632 487598481000 496874304000 499462191000 504235404800 520105046400 531810778500 532759670400 534319728000 544574237184 547410561336 567264830400 570219334725 577894496000 599354629200 601109694000 608233957040 624126055680 630294256000 639311604480 641183673600 650131308000 665949588000 680717796480 684263201670 693473395200 709081038000 710346227200 712426304000 729880748448 749193286500 756353107200 760292446300 767173925376 769420408320 780157569600 799139505600 801479592000 821115842004 850897245600 866841744000 887932784000 907623728640 912350935560 945441384000 950365557875 958967406720 961775510400 973174331264 975196962000 998924382000 1026394802505 1040210092800 1063621557000 1065519340800 1068639456000 1094821122672 1134529660800 1140438669450 1155788992000 1198709258400 1202219388000 1216467914080 1248252111360 1260588512000 1278623208960 1282367347200 1300262616000 1331899176000 1361435592960 1368526403340 1418162076000 1459761496896 1498386573000 1512706214400 1520584892600 1560315139200 1598279011200 1602959184000 1642231684008 1701794491200 1710658004175 1733683488000 1775865568000 1824701871120 1890882768000 1900731115750 1917934813440 1923551020800 1946348662528 1950393924000 1997848764000 2052789605010 2080420185600 2127243114000 2131038681600 2137278912000 2189642245344 2269059321600 2280877338900 2397418516800 2404438776000 2432935828160 2521177024000 2600525232000 2663798352000 2722871185920 2737052806680 2836324152000 2851096673625 2919522993792 2996773146000 3041169785200 3120630278400 3196558022400 3205918368000 3284463368016 3403588982400 3421316008350 3467366976000 3551731136000 3649403742240 3781765536000 3801462231500 3835869626880 3847102041600 3892697325056 3900787848000 3995697528000 4105579210020 4254486228000 4379284490688 4538118643200 4561754677800 4794837033600 4808877552000 4865871656320 5131974012525 5201050464000 5327596704000 5474105613360 5672648304000 5702193347250 5839045987584 5993546292000 6082339570400 6241260556800 6393116044800 6411836736000 6568926736032 6807177964800 6842632016700 7298807484480 7563531072000 7602924463000 7801575696000 7991395056000 8211158420040 8508972456000 8553290020875 8758568981376 9123509355600 9589674067200 9617755104000 9731743312640 10263948025050 10402100928000 10655193408000 10948211226720 11345296608000 11404386694500 11678091975168 11987092584000 12164679140800 13137853472064 13614355929600 13685264033400 14597614968960 15205848926000 15603151392000 15982790112000 16422316840080 17017944912000 17106580041750 17517137962752 18247018711200 19179348134400 19235510208000 19463486625280 20527896050100 21896422453440 22690593216000 22808773389000 23974185168000 24329358281600 25659870062625 26275706944128 27370528066800 29195229937920 30411697852000 31206302784000 31965580224000 32844633680160 34035889824000 34213160083500 35034275925504 36494037422400 41055792100200 43792844906880 45617546778000 47948370336000 48658716563200 51319740125250 52551413888256 54741056133600 58390459875840 60823395704000 65689267360320 68071779648000 68426320167000 72988074844800 82111584200400 87585689813760 91235093556000 95896740672000 97317433126400 102639480250500 105102827776512 109482112267200 121646791408000 131378534720640 136852640334000 145976149689600 164223168400800 175171379627520 182470187112000 205278960501000 218964224534400 243293582816000 262757069441280 273705280668000 291952299379200 328446336801600 364940374224000 410557921002000 437928449068800 486587165632000 525514138882560 547410561336000 656892673603200 729880748448000 821115842004000 875856898137600 1094821122672000 1313785347206400 1459761496896000 1642231684008000 2189642245344000 2627570694412800 3284463368016000 4379284490688000 6568926736032000 13137853472064000
- Sum of all divisors σ(n): 49329827001861120
- Sum of proper divisors (its aliquot sum) s(n): 36191973529797120
- 13137853472064000 is an abundant number, because the sum of its proper divisors (36191973529797120) is greater than itself. Its abundance is 23054120057733120
Bases of 13137853472064000
- Binary: 1011101010110011001110111000010101000001000010000000002
- Hexadecimal: 0x2EACCEE1504200
- Base-36: 3LCZAKBXXC0
Squares and roots of 13137853472064000
- 13137853472064000 squared (131378534720640002) is 172603193853424100028420096000000
- 13137853472064000 cubed (131378534720640003) is 2267635469656543476053473399309992198144000000000
-
The
square root of 13137853472064000 is 114620475.7975816465 -
The
cube root of 13137853472064000 is 235961.6754777831
Scales and comparisons
How big is 13137853472064000?- 13,137,853,472,064,000 seconds is equal to 417,743,102 years, 18 weeks, 6 days.
-
To count from 1 to 13,137,853,472,064,000 would take you about one billion, two hundred fifty-three million, two hundred twenty-nine thousand, three hundred 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 13137853472064000 cubic inches would be around 19663.5 feet tall.
Recreational maths with 13137853472064000
- 13137853472064000 backwards is 00046027435873131
- 13137853472064000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13137853472064000's digits is 54
- More coming soon!
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Numbermatics. (2024). Number 13137853472064000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/13137853472064000/
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The information we have on file for 13137853472064000 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!
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