13182988429737874995200
13,182,988,429,737,874,995,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 13182988429737874995200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
13182988429737874995200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 13182988429737874995200:
211 × 52 × 17 × 19 × 13523 × 58947900199
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 19 × 13523 × 58947900199)See below for interesting mathematical facts about the number 13182988429737874995200 from the Numbermatics database.
Names of 13182988429737874995200
- Cardinal: 13182988429737874995200 can be written as Thirteen sextillion, one hundred eighty-two quintillion, nine hundred eighty-eight quadrillion, four hundred twenty-nine trillion, seven hundred thirty-seven billion, eight hundred seventy-four million, nine hundred ninety-five thousand, two hundred.
Scientific notation
- Scientific notation: 1.31829884297378749952 × 1022
Factors of 13182988429737874995200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 58947913765
Divisors of 13182988429737874995200
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 4 5 8 10 16 17 19 20 25 32 34 38 40 50 64 68 76 80 85 95 100 128 136 152 160 170 190 200 256 272 304 320 323 340 380 400 425 475 512 544 608 640 646 680 760 800 850 950 1024 1088 1216 1280 1292 1360 1520 1600 1615 1700 1900 2048 2176 2432 2560 2584 2720 3040 3200 3230 3400 3800 4352 4864 5120 5168 5440 6080 6400 6460 6800 7600 8075 8704 9728 10240 10336 10880 12160 12800 12920 13523 13600 15200 16150 17408 19456 20672 21760 24320 25600 25840 27046 27200 30400 32300 34816 38912 41344 43520 48640 51200 51680 54092 54400 60800 64600 67615 82688 87040 97280 103360 108184 108800 121600 129200 135230 165376 174080 194560 206720 216368 217600 229891 243200 256937 258400 270460 330752 338075 413440 432736 435200 459782 486400 513874 516800 540920 661504 676150 826880 865472 870400 919564 972800 1027748 1033600 1081840 1149455 1284685 1352300 1653760 1730944 1839128 2055496 2067200 2163680 2298910 2569370 2704600 3307520 3461888 3678256 4110992 4134400 4327360 4367929 4597820 5138740 5409200 5747275 6423425 6923776 7356512 8221984 8268800 8654720 8735858 9195640 10277480 10818400 11494550 12846850 13847552 14713024 16443968 16537600 17309440 17471716 18391280 20554960 21636800 21839645 22989100 25693700 27695104 29426048 32887936 34618880 34943432 36782560 41109920 43273600 43679290 45978200 51387400 58852096 65775872 69237760 69886864 73565120 82219840 86547200 87358580 91956400 102774800 109198225 117704192 131551744 138475520 139773728 147130240 164439680 173094400 174717160 183912800 205549600 218396450 235408384 263103488 279547456 294260480 328879360 346188800 349434320 367825600 411099200 436792900 470816768 526206976 559094912 588520960 657758720 692377600 698868640 735651200 822198400 873585800 1118189824 1177041920 1315517440 1397737280 1471302400 1644396800 1747171600 2236379648 2354083840 2631034880 2795474560 2942604800 3288793600 3494343200 4472759296 5590949120 5885209600 6577587200 6988686400 8945518592 11181898240 11770419200 13155174400 13977372800 22363796480 27954745600 44727592960 55909491200 58947900199 111818982400 117895800398 223637964800 235791600796 294739500995 471583201592 589479001990 943166403184 1002114303383 1120010103781 1178958003980 1473697504975 1886332806368 2004228606766 2240020207562 2357916007960 2947395009950 3772665612736 4008457213532 4480040415124 4715832015920 5010571516915 5600050518905 5894790019900 7545331225472 8016914427064 8960080830248 9431664031840 10021143033830 11200101037810 11789580039800 15090662450944 16033828854128 17920161660496 18863328063680 19040171764277 20042286067660 22400202075620 23579160079600 25052857584575 28000252594525 30181324901888 32067657708256 35840323320992 37726656127360 38080343528554 40084572135320 44800404151240 47158320159200 50105715169150 56000505189050 60362649803776 64135315416512 71680646641984 75453312254720 76160687057108 80169144270640 89600808302480 94316640318400 95200858821385 100211430338300 112001010378100 120725299607552 128270630833024 143361293283968 150906624509440 152321374114216 160338288541280 179201616604960 188633280636800 190401717642770 200422860676600 224002020756200 256541261666048 286722586567936 301813249018880 304642748228432 320676577082560 358403233209920 377266561273600 380803435285540 400845721353200 448004041512400 476004294106925 513082523332096 573445173135872 603626498037760 609285496456864 641353154165120 716806466419840 754533122547200 761606870571080 797152454391077 801691442706400 896008083024800 952008588213850 1026165046664192 1146890346271744 1218570992913728 1282706308330240 1433612932839680 1509066245094400 1523213741142160 1594304908782154 1603382885412800 1792016166049600 1904017176427700 2052330093328384 2293780692543488 2437141985827456 2565412616660480 2867225865679360 3018132490188800 3046427482284320 3188609817564308 3206765770825600 3584032332099200 3808034352855400 3985762271955385 4874283971654912 5130825233320960 5734451731358720 6092854964568640 6377219635128616 6413531541651200 7168064664198400 7616068705710800 7971524543910770 9748567943309824 10261650466641920 11468903462717440 12185709929137280 12754439270257232 12827063083302400 13551591724648309 14336129328396800 15145896633430463 15232137411421600 15943049087821540 19497135886619648 19928811359776925 24371419858274560 25508878540514464 25654126166604800 27103183449296618 28672258656793600 30291793266860926 30464274822843200 31886098175643080 38994271773239296 39857622719553850 48742839716549120 51017757081028928 51308252333209600 54206366898593236 57344517313587200 60583586533721852 60928549645686400 63772196351286160 67757958623241545 75729483167152315 79715245439107700 97485679433098240 102035514162057856 108412733797186472 121167173067443704 121857099291372800 127544392702572320 135515917246483090 151458966334304630 159430490878215400 194971358866196480 204071028324115712 216825467594372944 242334346134887408 243714198582745600 255088785405144640 257480242768317871 271031834492966180 302917932668609260 318860981756430800 338789793116207725 378647415835761575 408142056648231424 433650935188745888 484668692269774816 487428397165491200 510177570810289280 514960485536635742 542063668985932360 605835865337218520 637721963512861600 677579586232415450 757294831671523150 816284113296462848 867301870377491776 969337384539549632 974856794330982400 1020355141620578560 1029920971073271484 1084127337971864720 1211671730674437040 1275443927025723200 1287401213841589355 1355159172464830900 1514589663343046300 1632568226592925696 1734603740754983552 1938674769079099264 2040710283241157120 2059841942146542968 2168254675943729440 2423343461348874080 2550887854051446400 2574802427683178710 2710318344929661800 3029179326686092600 3469207481509967104 3877349538158198528 4081420566482314240 4119683884293085936 4336509351887458880 4846686922697748160 5101775708102892800 5149604855366357420 5420636689859323600 6058358653372185200 6437006069207946775 6938414963019934208 7754699076316397056 8162841132964628480 8239367768586171872 8673018703774917760 9693373845395496320 10203551416205785600 10299209710732714840 10841273379718647200 12116717306744370400 12874012138415893550 13876829926039868416 15509398152632794112 16478735537172343744 17346037407549835520 19386747690790992640 20407102832411571200 20598419421465429680 21682546759437294400 24233434613488740800 25748024276831787100 27753659852079736832 31018796305265588224 32957471074344687488 34692074815099671040 38773495381581985280 40814205664823142400 41196838842930859360 43365093518874588800 48466869226977481600 51496048553663574200 65914942148689374976 69384149630199342080 77546990763163970560 82393677685861718720 86730187037749177600 96933738453954963200 102992097107327148400 131829884297378749952 138768299260398684160 155093981526327941120 164787355371723437440 173460374075498355200 193867476907909926400 205984194214654296800 263659768594757499904 329574710743446874880 346920748150996710400 387734953815819852800 411968388429308593600 527319537189514999808 659149421486893749760 693841496301993420800 775469907631639705600 823936776858617187200 1318298842973787499520 1647873553717234374400 2636597685947574999040 3295747107434468748800 6591494214868937497600 13182988429737874995200
- Sum of all divisors σ(n): 36432720527609820960000
- Sum of proper divisors (its aliquot sum) s(n): 23249732097871945964800
- 13182988429737874995200 is an abundant number, because the sum of its proper divisors (23249732097871945964800) is greater than itself. Its abundance is 10066743668134070969600
Bases of 13182988429737874995200
- Binary: 101100101010100110101101110101001001100001011000101011000010111000000000002
- Hexadecimal: 0x2CAA6B7526162B0B800
- Base-36: 25A65YT8FQIUMM8
Squares and roots of 13182988429737874995200
- 13182988429737874995200 squared (131829884297378749952002) is 173791183938602683089084520590141400023040000
- 13182988429737874995200 cubed (131829884297378749952003) is 2291087167053045986606253983021911689780441540113481919889408000000
-
The
square root of 13182988429737874995200 is 114817195705.7734231231 -
The
cube root of 13182988429737874995200 is 23623158.1246813045
Scales and comparisons
How big is 13182988429737874995200?- 13,182,988,429,737,874,995,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,182,988,429,737,874,995,200 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 13182988429737874995200 cubic inches would be around 1968596.5 feet tall.
Recreational maths with 13182988429737874995200
- 13182988429737874995200 backwards is 00259947873792488928131
- The number of decimal digits it has is: 23
- The sum of 13182988429737874995200's digits is 116
- More coming soon!
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The information we have on file for 13182988429737874995200 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 13182988429737874995200, math, Factors of 13182988429737874995200, curriculum, school, college, exams, university, Prime factorization of 13182988429737874995200, STEM, science, technology, engineering, physics, economics, calculator, thirteen sextillion, one hundred eighty-two quintillion, nine hundred eighty-eight quadrillion, four hundred twenty-nine trillion, seven hundred thirty-seven billion, eight hundred seventy-four million, nine hundred ninety-five thousand, two hundred.