134461223263392001200
134,461,223,263,392,001,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 134461223263392001200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 600 divisors.
134461223263392001200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred divisors.
Prime factorization of 134461223263392001200:
24 × 34 × 52 × 7 × 17099 × 34672351391
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 17099 × 34672351391)See below for interesting mathematical facts about the number 134461223263392001200 from the Numbermatics database.
Names of 134461223263392001200
- Cardinal: 134461223263392001200 can be written as One hundred thirty-four quintillion, four hundred sixty-one quadrillion, two hundred twenty-three trillion, two hundred sixty-three billion, three hundred ninety-two million, one thousand, two hundred.
Scientific notation
- Scientific notation: 1.344612232633920012 × 1020
Factors of 134461223263392001200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 34672368507
Divisors of 134461223263392001200
- Number of divisors d(n): 600
-
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 35 36 40 42 45 48 50 54 56 60 63 70 72 75 80 81 84 90 100 105 108 112 120 126 135 140 144 150 162 168 175 180 189 200 210 216 225 240 252 270 280 300 315 324 336 350 360 378 400 405 420 432 450 504 525 540 560 567 600 630 648 675 700 720 756 810 840 900 945 1008 1050 1080 1134 1200 1260 1296 1350 1400 1512 1575 1620 1680 1800 1890 2025 2100 2160 2268 2520 2700 2800 2835 3024 3150 3240 3600 3780 4050 4200 4536 4725 5040 5400 5670 6300 6480 7560 8100 8400 9072 9450 10800 11340 12600 14175 15120 16200 17099 18900 22680 25200 28350 32400 34198 37800 45360 51297 56700 68396 75600 85495 102594 113400 119693 136792 153891 170990 205188 226800 239386 256485 273584 307782 341980 359079 410376 427475 461673 478772 512970 598465 615564 683960 718158 769455 820752 854950 923346 957544 1025940 1077237 1196930 1231128 1282425 1367920 1385019 1436316 1538910 1709900 1795395 1846692 1915088 2051880 2154474 2308365 2393860 2462256 2564850 2770038 2872632 2992325 3077820 3231711 3419800 3590790 3693384 3847275 4103760 4308948 4616730 4787720 5129700 5386185 5540076 5745264 5984650 6155640 6463422 6839600 6925095 7181580 7386768 7694550 8617896 8976975 9233460 9575440 9695133 10259400 10772370 11080152 11541825 11969300 12311280 12926844 13850190 14363160 15389100 16158555 17235792 17953950 18466920 19390266 20518800 21544740 22160304 23083650 23938600 25853688 26930925 27700380 28726320 30778200 32317110 34625475 35907900 36933840 38780532 43089480 46167300 47877200 48475665 51707376 53861850 55400760 61556400 64634220 69250950 71815800 77561064 80792775 86178960 92334600 96951330 107723700 110801520 129268440 138501900 143631600 155122128 161585550 184669200 193902660 215447400 242378325 258536880 277003800 323171100 387805320 430894800 484756650 554007600 646342200 775610640 969513300 1292684400 1939026600 3878053200 34672351391 69344702782 104017054173 138689405564 173361756955 208034108346 242706459737 277378811128 312051162519 346723513910 416068216692 485412919474 520085270865 554757622256 624102325038 693447027820 728119379211 832136433384 866808784775 936153487557 970825838948 1040170541730 1213532298685 1248204650076 1386894055640 1456238758422 1560255812595 1664272866768 1733617569550 1872306975114 1941651677896 2080341083460 2184358137633 2427064597370 2496409300152 2600426354325 2773788111280 2808460462671 2912477516844 3120511625190 3467235139100 3640596896055 3744613950228 3883303355792 4160682166920 4368716275266 4680767437785 4854129194740 4992818600304 5200852708650 5616920925342 5824955033688 6067661493425 6241023250380 6553074412899 6934470278200 7281193792110 7489227900456 7801279062975 8321364333840 8737432550532 9361534875570 9708258389480 10401705417300 10921790688165 11233841850684 11649910067376 12135322986850 12482046500760 13106148825798 13868940556400 14042302313355 14562387584220 14978455800912 15602558125950 17474865101064 18202984480275 18723069751140 19416516778960 19659223238697 20803410834600 21843581376330 22467683701368 23403837188925 24270645973700 24964093001520 26212297651596 28084604626710 29124775168440 31205116251900 32765372064495 34949730202128 36405968960550 37446139502280 39318446477394 41606821669200 43687162752660 44935367402736 46807674377850 48541291947400 52424595303192 54608953440825 56169209253420 58249550336880 62410232503800 65530744128990 70211511566775 72811937921100 74892279004560 78636892954788 87374325505320 93615348755700 97082583894800 98296116193485 104849190606384 109217906881650 112338418506840 124820465007600 131061488257980 140423023133550 145623875842200 157273785909576 163826860322475 174748651010640 187230697511400 196592232386970 218435813763300 224676837013680 262122976515960 280846046267100 291247751684400 314547571819152 327653720644950 374461395022800 393184464773940 436871627526600 491480580967425 524245953031920 561692092534200 592862536434709 655307441289900 786368929547880 873743255053200 982961161934850 1123384185068400 1185725072869418 1310614882579800 1572737859095760 1778587609304127 1965922323869700 2371450145738836 2621229765159600 2964312682173545 3557175218608254 3931844647739400 4150037755042963 4742900291477672 5335762827912381 5928625364347090 7114350437216508 7863689295478800 8300075510085926 8892938046520635 9485800582955344 10671525655824762 11857250728694180 12450113265128889 14228700874433016 14821563410867725 16007288483737143 16600151020171852 17785876093041270 20750188775214815 21343051311649524 23714501457388360 24900226530257778 26678814139561905 28457401748866032 29643126821735450 32014576967474286 33200302040343704 35571752186082540 37350339795386667 41500377550429630 42686102623299048 44464690232603175 47429002914776720 48021865451211429 49800453060515556 53357628279123810 59286253643470900 62250566325644445 64029153934948572 66400604080687408 71143504372165080 74700679590773334 80036442418685715 83000755100859260 85372205246598096 88929380465206350 96043730902422858 99600906121031112 103750943876074075 106715256558247620 112051019386160001 118572507286941800 124501132651288890 128058307869897144 133394070697809525 142287008744330160 149401359181546668 160072884837371430 166001510201718520 177858760930412700 186751698976933335 192087461804845716 199201812242062224 207501887752148150 213430513116495240 224102038772320002 237145014573883600 240109327256057145 249002265302577780 256116615739794288 266788141395619050 298802718363093336 311252831628222225 320145769674742860 332003020403437040 336153058158480003 355717521860825400 373503397953866670 384174923609691432 400182212093428575 415003775504296300 426861026232990480 448204077544640004 480218654512114290 498004530605155560 533576282791238100 560255096930800005 597605436726186672 622505663256444450 640291539349485720 672306116316960006 711435043721650800 747006795907733340 768349847219382864 800364424186857150 830007551008592600 896408155089280008 933758494884666675 960437309024228580 996009061210311120 1067152565582476200 1120510193861600010 1200546636280285725 1245011326512888900 1280583078698971440 1344612232633920012 1494013591815466680 1600728848373714300 1660015102017185200 1680765290792400015 1792816310178560016 1867516989769333350 1920874618048457160 2134305131164952400 2241020387723200020 2401093272560571450 2490022653025777800 2689224465267840024 2801275484654000025 2988027183630933360 3201457696747428600 3361530581584800030 3735033979538666700 3841749236096914320 4482040775446400040 4802186545121142900 4980045306051555600 5378448930535680048 5602550969308000050 6402915393494857200 6723061163169600060 7470067959077333400 8403826453962000075 8964081550892800080 9604373090242285800 11205101938616000100 13446122326339200120 14940135918154666800 16807652907924000150 19208746180484571600 22410203877232000200 26892244652678400240 33615305815848000300 44820407754464000400 67230611631696000600 134461223263392001200
- Sum of all divisors σ(n): 551541442694759193600
- Sum of proper divisors (its aliquot sum) s(n): 417080219431367192400
- 134461223263392001200 is an abundant number, because the sum of its proper divisors (417080219431367192400) is greater than itself. Its abundance is 282618996167975191200
Bases of 134461223263392001200
- Binary: 11101001010000001100011101000100110111001101111100001101100101100002
- Hexadecimal: 0x74A063A26E6F86CB0
- Base-36: SDKN1MLTQVV00
Squares and roots of 134461223263392001200
- 134461223263392001200 squared (1344612232633920012002) is 18079820561487750288914281496140801440000
- 134461223263392001200 cubed (1344612232633920012003) is 2431034789080269722393183830020372720351216888253441728000000
-
The
square root of 134461223263392001200 is 11595741600.4062457373 -
The
cube root of 134461223263392001200 is 5123094.3319124089
Scales and comparisons
How big is 134461223263392001200?- 134,461,223,263,392,001,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 134,461,223,263,392,001,200 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 134461223263392001200 cubic inches would be around 426924.5 feet tall.
Recreational maths with 134461223263392001200
- 134461223263392001200 backwards is 002100293362322164431
- 134461223263392001200 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 134461223263392001200's digits is 54
- More coming soon!
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The information we have on file for 134461223263392001200 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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