135213318833289231600
135,213,318,833,289,231,600 is an even composite number composed of six prime numbers multiplied together.
135213318833289231600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 135213318833289231600:
24 × 35 × 52 × 13 × 4212 × 245712
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 421 × 421 × 24571 × 24571)See below for interesting mathematical facts about the number 135213318833289231600 from the Numbermatics database.
Names of 135213318833289231600
- Cardinal: 135213318833289231600 can be written as One hundred thirty-five quintillion, two hundred thirteen quadrillion, three hundred eighteen trillion, eight hundred thirty-three billion, two hundred eighty-nine million, two hundred thirty-one thousand, six hundred.
Scientific notation
- Scientific notation: 1.352133188332892316 × 1020
Factors of 135213318833289231600
Divisors of 135213318833289231600
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 36 39 40 45 48 50 52 54 60 65 72 75 78 80 81 90 100 104 108 117 120 130 135 144 150 156 162 180 195 200 208 216 225 234 240 243 260 270 300 312 324 325 351 360 390 400 405 421 432 450 468 486 520 540 585 600 624 648 650 675 702 720 780 810 842 900 936 972 975 1040 1053 1080 1170 1200 1215 1263 1296 1300 1350 1404 1560 1620 1684 1755 1800 1872 1944 1950 2025 2105 2106 2160 2340 2430 2526 2600 2700 2808 2925 3120 3159 3240 3368 3510 3600 3789 3888 3900 4050 4210 4212 4680 4860 5052 5200 5265 5400 5473 5616 5850 6075 6315 6318 6480 6736 7020 7578 7800 8100 8420 8424 8775 9360 9720 10104 10525 10530 10800 10946 11367 11700 12150 12630 12636 14040 15156 15600 15795 16200 16419 16840 16848 17550 18945 19440 20208 21050 21060 21892 22734 23400 24300 24571 25260 25272 26325 27365 28080 30312 31575 31590 32400 32838 33680 34101 35100 37890 42100 42120 43784 45468 46800 48600 49142 49257 50520 50544 52650 54730 56835 60624 63150 63180 65676 68202 70200 73713 75780 78975 82095 84200 84240 87568 90936 94725 97200 98284 98514 101040 102303 105300 109460 113670 122855 126300 126360 131352 136404 136825 140400 147426 147771 151560 157950 164190 168400 170505 177241 181872 189450 196568 197028 204606 210600 218920 221139 227340 245710 246285 252600 252720 262704 272808 273650 284175 294852 295542 303120 315900 319423 328380 341010 354482 368565 378900 393136 394056 409212 410475 421200 437840 442278 443313 454680 491420 492570 505200 511515 531723 545616 547300 568350 589704 591084 614275 631800 638846 656760 663417 682020 708964 737130 738855 757800 788112 818424 820950 852525 884556 886205 886626 909360 958269 982840 985140 1023030 1063446 1094600 1105695 1136700 1179408 1182168 1228550 1231425 1263600 1277692 1313520 1326834 1329939 1364040 1417928 1474260 1477710 1515600 1595169 1597115 1636848 1641900 1705050 1769112 1772410 1773252 1842825 1916538 1965680 1970280 1990251 2046060 2126892 2189200 2211390 2216565 2273400 2304133 2364336 2457100 2462850 2555384 2557575 2653668 2658615 2659878 2728080 2835856 2874807 2948520 2955420 3190338 3194230 3283800 3317085 3410100 3538224 3544820 3546504 3685650 3694275 3833076 3940560 3980502 4092120 4253784 4422780 4431025 4433130 4546800 4608266 4785507 4791345 4914200 4925700 5110768 5115150 5307336 5317230 5319756 5528475 5749614 5897040 5910840 5970753 6380676 6388460 6567600 6634170 6649695 6820200 6912399 7089640 7093008 7371300 7388550 7666152 7961004 7975845 7985575 8184240 8507568 8624421 8845560 8862050 8866260 9216532 9571014 9582690 9828400 9851400 9951255 10230300 10344391 10614672 10634460 10639512 11056950 11082825 11499228 11520665 11821680 11941506 12761352 12776920 13268340 13293075 13299390 13640400 13824798 14179280 14356521 14374035 14742600 14777100 15332304 15922008 15951690 15971150 16585425 17248842 17691120 17724100 17732520 18433064 19142028 19165380 19702800 19902510 20460600 20688782 20737197 21268920 21279024 22113900 22165650 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2676431489178330 2745057937618800 2751481804429800 2782167054182906 2889173479343787 2973812765753700 3088190179821150 3210192754826430 3211717787013996 3568575318904440 3852231305791716 3965083687671600 4014647233767495 4117586906428200 4173250581274359 4280257006435240 4282290382685328 4460719148630550 4815289132239645 4941104287713840 5136308407722288 5350321258044050 5352862978356660 5502963608859600 5564334108365812 5778346958687574 5947625531507400 6176380359642300 6420385509652860 6423435574027992 6691078722945825 6955417635457265 7137150637808880 7704462611583432 8025481887066075 8029294467534990 8235173812856400 8346501162548718 8560514012870480 8667520438031361 8921438297261100 9630578264479290 10700642516088100 10705725956713320 11128668216731624 11556693917375148 11895251063014800 12352760719284600 12519751743823077 12840771019305720 12846871148055984 13382157445891650 13910835270914530 14445867396718935 15408925223166864 16050963774132150 16058588935069980 16693002325097436 17335040876062722 17842876594522200 19261156528958580 20073236168837475 20866252906371795 21401285032176200 21411451913426640 22257336433463248 23113387834750296 24076445661198225 24705521438569200 25039503487646154 25681542038611440 26002561314094083 26764314891783300 27821670541829060 28891734793437870 32101927548264300 32117177870139960 33386004650194872 34670081752125444 34777088177286325 35685753189044400 37559255231469231 38522313057917160 40146472337674950 41732505812743590 42802570064352400 43337602190156805 46226775669500592 48152891322396450 50079006975292308 52005122628188166 53528629783566600 55643341083658120 57783469586875740 62598758719115385 64203855096528600 64234355740279920 66772009300389744 69340163504250888 69554176354572650 72229336983594675 75118510462938462 77044626115834320 80292944675349900 83465011625487180 86675204380313610 96305782644792900 100158013950584616 104010245256376332 104331264531858975 107057259567133200 111286682167316240 112677765694407693 115566939173751480 125197517438230770 128407710193057200 130012806570470415 138680327008501776 139108352709145300 144458673967189350 150237020925876924 160585889350699800 166930023250974360 173350408760627220 187796276157346155 192611565289585800 200316027901169232 208020490512752664 208662529063717950 216688010950784025 225355531388815386 231133878347502960 250395034876461540 260025613140940830 278216705418290600 288917347934378700 300474041851753848 312993793595576925 321171778701399600 333860046501948720 338033297083223079 346700817521254440 375592552314692310 385223130579171600 416040981025505328 417325058127435900 433376021901568050 450711062777630772 500790069752923080 520051226281881660 556433410836581200 563388828472038465 577834695868757400 600948083703507696 625987587191153850 650064032852352075 676066594166446158 693401635042508880 751185104629384620 834650116254871800 866752043803136100 901422125555261544 938981380786730775 1001580139505846160 1040102452563763320 1126777656944076930 1155669391737514800 1251975174382307700 1300128065704704150 1352133188332892316 1502370209258769240 1669300232509743600 1690166485416115395 1733504087606272200 1802844251110523088 1877962761573461550 2080204905127526640 2253555313888153860 2503950348764615400 2600256131409408300 2704266376665784632 2816944142360192325 3004740418517538480 3380332970832230790 3467008175212544400 3755925523146923100 4507110627776307720 5007900697529230800 5200512262818816600 5408532753331569264 5633888284720384650 6760665941664461580 7511851046293846200 8450832427080576975 9014221255552615440 10401024525637633200 11267776569440769300 13521331883328923160 15023702092587692400 16901664854161153950 22535553138881538600 27042663766657846320 33803329708322307900 45071106277763077200 67606659416644615800 135213318833289231600
- Sum of all divisors σ(n): 525306938946582966264
- Sum of proper divisors (its aliquot sum) s(n): 390093620113293734664
- 135213318833289231600 is an abundant number, because the sum of its proper divisors (390093620113293734664) is greater than itself. Its abundance is 254880301280004503064
Bases of 135213318833289231600
- Binary: 11101010100011101100011010100010110100001111101011011111100111100002
- Hexadecimal: 0x75476351687D6FCF0
- Base-36: SJACH98UFJ300
Squares and roots of 135213318833289231600
- 135213318833289231600 squared (1352133188332892316002) is 18282641589912728410983841100518438560000
- 135213318833289231600 cubed (1352133188332892316003) is 2472056646411623700958572568234083548544250109294210496000000
-
The
square root of 135213318833289231600 is 11628126196.1370728665 -
The
cube root of 135213318833289231600 is 5132628.4186462423
Scales and comparisons
How big is 135213318833289231600?- 135,213,318,833,289,231,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 135,213,318,833,289,231,600 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 135213318833289231600 cubic inches would be around 427719 feet tall.
Recreational maths with 135213318833289231600
- 135213318833289231600 backwards is 006132982338813312531
- 135213318833289231600 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 135213318833289231600's digits is 72
- More coming soon!
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The information we have on file for 135213318833289231600 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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