13313312514980654400
13,313,312,514,980,654,400 is an even composite number composed of six prime numbers multiplied together.
13313312514980654400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 13313312514980654400:
26 × 33 × 52 × 7 × 251 × 175400415731
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 251 × 175400415731)See below for interesting mathematical facts about the number 13313312514980654400 from the Numbermatics database.
Names of 13313312514980654400
- Cardinal: 13313312514980654400 can be written as Thirteen quintillion, three hundred thirteen quadrillion, three hundred twelve trillion, five hundred fourteen billion, nine hundred eighty million, six hundred fifty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.33133125149806544 × 1019
Factors of 13313312514980654400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 175400415999
Divisors of 13313312514980654400
- Number of divisors d(n): 672
-
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 96 100 105 108 112 120 126 135 140 144 150 160 168 175 180 189 192 200 210 216 224 225 240 251 252 270 280 288 300 315 320 336 350 360 378 400 420 432 448 450 480 502 504 525 540 560 576 600 630 672 675 700 720 753 756 800 840 864 900 945 960 1004 1008 1050 1080 1120 1200 1255 1260 1344 1350 1400 1440 1506 1512 1575 1600 1680 1728 1757 1800 1890 2008 2016 2100 2160 2240 2259 2400 2510 2520 2700 2800 2880 3012 3024 3150 3360 3514 3600 3765 3780 4016 4032 4200 4320 4518 4725 4800 5020 5040 5271 5400 5600 6024 6048 6275 6300 6720 6777 7028 7200 7530 7560 8032 8400 8640 8785 9036 9450 10040 10080 10542 10800 11200 11295 12048 12096 12550 12600 13554 14056 14400 15060 15120 15813 16064 16800 17570 18072 18825 18900 20080 20160 21084 21600 22590 24096 25100 25200 26355 27108 28112 30120 30240 31626 33600 33885 35140 36144 37650 37800 40160 42168 43200 43925 45180 47439 48192 50200 50400 52710 54216 56224 56475 60240 60480 63252 67770 70280 72288 75300 75600 79065 80320 84336 87850 90360 94878 100400 100800 105420 108432 112448 112950 120480 126504 131775 135540 140560 144576 150600 151200 158130 168672 169425 175700 180720 189756 200800 210840 216864 225900 237195 240960 253008 263550 271080 281120 301200 302400 316260 337344 338850 351400 361440 379512 395325 401600 421680 433728 451800 474390 506016 527100 542160 562240 602400 632520 677700 702800 722880 759024 790650 843360 903600 948780 1012032 1054200 1084320 1185975 1204800 1265040 1355400 1405600 1518048 1581300 1686720 1807200 1897560 2108400 2168640 2371950 2530080 2710800 2811200 3036096 3162600 3614400 3795120 4216800 4743900 5060160 5421600 6325200 7590240 8433600 9487800 10843200 12650400 15180480 18975600 25300800 37951200 75902400 175400415731 350800831462 526201247193 701601662924 877002078655 1052402494386 1227802910117 1403203325848 1578603741579 1754004157310 2104804988772 2455605820234 2631006235965 2806406651696 3157207483158 3508008314620 3683408730351 4209609977544 4385010393275 4735811224737 4911211640468 5262012471930 5612813303392 6139014550585 6314414966316 7016016629240 7366817460702 7893018707895 8419219955088 8770020786550 9471622449474 9822423280936 10524024943860 11050226191053 11225626606784 12278029101170 12628829932632 13155031179825 14032033258480 14733634921404 15786037415790 16838439910176 17540041573100 18417043651755 18943244898948 19644846561872 21048049887720 22100452382106 23679056123685 24556058202340 25257659865264 26310062359650 28064066516960 29467269842808 30695072752925 31572074831580 33150678573159 33676879820352 35080083146200 36834087303510 37886489797896 39289693123744 39465093539475 42096099775440 44025504348481 44200904764212 47358112247370 49112116404680 50515319730528 52620124719300 55251130955265 56128133033920 58934539685616 61390145505850 63144149663160 66301357146318 70160166292400 73668174607020 75772979595792 78579386247488 78930187078950 84192199550880 88051008696962 88401809528424 92085218258775 94716224494740 98224232809360 101030639461056 105240249438600 110502261910530 117869079371232 118395280618425 122780291011700 126288299326320 132076513045443 132602714292636 140320332584800 147336349214040 151545959191584 157860374157900 165753392865795 168384399101760 176102017393924 176803619056848 184170436517550 189432448989480 196448465618720 210480498877200 220127521742405 221004523821060 235738158742464 236790561236850 245560582023400 252576598652640 264153026090886 265205428585272 276255654776325 280640665169600 294672698428080 303091918383168 308178530439367 315720748315800 331506785731590 352204034787848 353607238113696 368340873035100 378864897978960 392896931237440 396229539136329 420960997754400 440255043484810 442009047642120 473581122473700 491121164046800 505153197305280 528306052181772 530410857170544 552511309552650 589345396856160 616357060878734 631441496631600 660382565227215 663013571463180 704408069575696 707214476227392 736681746070200 757729795957920 792459078272658 828766964328975 841921995508800 880510086969620 884018095284240 924535591318101 947162244947400 982242328093600 1056612104363544 1060821714341088 1100637608712025 1105022619105300 1178690793712320 1188688617408987 1232714121757468 1262882993263200 1320765130454430 1326027142926360 1408816139151392 1473363492140400 1515459591915840 1540892652196835 1584918156545316 1657533928657950 1761020173939240 1768036190568480 1849071182636202 1894324489894800 1964484656187200 1981147695681645 2113224208727088 2121643428682176 2201275217424050 2210045238210600 2377377234817974 2465428243514936 2525765986526400 2641530260908860 2652054285852720 2773606773954303 2817632278302784 2946726984280800 3081785304393670 3169836313090632 3301912826136075 3315067857315900 3522040347878480 3536072381136960 3698142365272404 3788648979789600 3962295391363290 4226448417454176 4402550434848100 4420090476421200 4622677956590505 4754754469635948 4930856487029872 5283060521817720 5304108571705440 5547213547908606 5893453968561600 5943443087044935 6163570608787340 6339672626181264 6603825652272150 6630135714631800 7044080695756960 7396284730544808 7577297959579200 7704463260984175 7924590782726580 8320820321862909 8452896834908352 8805100869696200 8840180952842400 9245355913181010 9509508939271896 9861712974059744 9905738478408225 10566121043635440 10608217143410880 11094427095817212 11886886174089870 12327141217574680 12679345252362528 13207651304544300 13260271429263600 13868033869771515 14088161391513920 14792569461089616 15408926521968350 15849181565453160 16641640643725818 17610201739392400 17680361905684800 18490711826362020 19019017878543792 19723425948119488 19811476956816450 21132242087270880 22188854191634424 23113389782952525 23773772348179740 24654282435149360 25358690504725056 26415302609088600 26520542858527200 27736067739543030 29585138922179232 29717215435224675 30817853043936700 31698363130906320 33283281287451636 35220403478784800 36981423652724040 38038035757087584 39622953913632900 41604101609314545 42264484174541760 44377708383268848 46226779565905050 47547544696359480 49308564870298720 52830605218177200 53041085717054400 55472135479086060 59170277844358464 59434430870449350 61635706087873400 63396726261812640 66566562574903272 69340169348857575 70440806957569600 73962847305448080 76076071514175168 79245907827265800 83208203218629090 88755416766537696 92453559131810100 95095089392718960 98617129740597440 105661210436354400 110944270958172120 118868861740898700 123271412175746800 126793452523625280 133133125149806544 138680338697715150 147925694610896160 158491815654531600 166416406437258180 177510833533075392 184907118263620200 190190178785437920 208020508046572725 211322420872708800 221888541916344240 237737723481797400 246542824351493600 266266250299613088 277360677395430300 295851389221792320 316983631309063200 332832812874516360 369814236527240400 380380357570875840 416041016093145450 443777083832688480 475475446963594800 493085648702987200 532532500599226176 554721354790860600 633967262618126400 665665625749032720 739628473054480800 832082032186290900 887554167665376960 950950893927189600 1109442709581721200 1331331251498065440 1479256946108961600 1664164064372581800 1901901787854379200 2218885419163442400 2662662502996130880 3328328128745163600 4437770838326884800 6656656257490327200 13313312514980654400
- Sum of all divisors σ(n): 55686067858462325760
- Sum of proper divisors (its aliquot sum) s(n): 42372755343481671360
- 13313312514980654400 is an abundant number, because the sum of its proper divisors (42372755343481671360) is greater than itself. Its abundance is 29059442828501016960
Bases of 13313312514980654400
- Binary: 10111000110000100110001100110010000001110010111100101101010000002
- Hexadecimal: 0xB8C26332072F2D40
- Base-36: 2T5C7EWBOQ1C0
Squares and roots of 13313312514980654400
- 13313312514980654400 squared (133133125149806544002) is 177244290121540517187820006252239360000
- 13313312514980654400 cubed (133133125149806544003) is 2359708625883967341417201420576007827550637078237184000000
-
The
square root of 13313312514980654400 is 3648741223.3509592095 -
The
cube root of 13313312514980654400 is 2370074.7432011661
Scales and comparisons
How big is 13313312514980654400?- 13,313,312,514,980,654,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,313,312,514,980,654,400 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 13313312514980654400 cubic inches would be around 197506.2 feet tall.
Recreational maths with 13313312514980654400
- 13313312514980654400 backwards is 00445608941521331331
- 13313312514980654400 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13313312514980654400's digits is 63
- More coming soon!
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The information we have on file for 13313312514980654400 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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