128137480224000
128,137,480,224,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 128137480224000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
128137480224000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 128137480224000:
28 × 3 × 53 × 13 × 31 × 1312 × 193
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 31 × 131 × 131 × 193)See below for interesting mathematical facts about the number 128137480224000 from the Numbermatics database.
Names of 128137480224000
- Cardinal: 128137480224000 can be written as One hundred twenty-eight trillion, one hundred thirty-seven billion, four hundred eighty million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.28137480224 × 1014
Factors of 128137480224000
Divisors of 128137480224000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 32 39 40 48 50 52 60 62 64 65 75 78 80 93 96 100 104 120 124 125 128 130 131 150 155 156 160 186 192 193 195 200 208 240 248 250 256 260 262 300 310 312 320 325 372 375 384 386 390 393 400 403 416 465 480 496 500 520 524 579 600 620 624 640 650 655 744 750 768 772 775 780 786 800 806 832 930 960 965 975 992 1000 1040 1048 1158 1200 1209 1240 1248 1280 1300 1310 1488 1500 1544 1550 1560 1572 1600 1612 1625 1664 1703 1860 1920 1930 1950 1965 1984 2000 2015 2080 2096 2316 2325 2400 2418 2480 2496 2509 2600 2620 2895 2976 3000 3088 3100 3120 3144 3200 3224 3250 3275 3328 3406 3720 3840 3860 3875 3900 3930 3968 4000 4030 4061 4160 4192 4632 4650 4800 4825 4836 4875 4960 4992 5018 5109 5200 5240 5790 5952 5983 6000 6045 6176 6200 6240 6288 6400 6448 6500 6550 6812 7440 7527 7720 7750 7800 7860 7936 8000 8060 8122 8320 8384 8515 9264 9300 9600 9650 9672 9750 9825 9920 9984 10036 10075 10218 10400 10480 11580 11625 11904 11966 12000 12090 12183 12352 12400 12480 12545 12576 12896 13000 13100 13624 14475 14880 15054 15440 15500 15600 15720 16000 16120 16244 16375 16640 16768 17030 17161 17949 18528 18600 19200 19300 19344 19500 19650 19840 20072 20150 20305 20436 20800 20960 23160 23250 23808 23932 24000 24125 24180 24366 24704 24800 24960 25090 25152 25283 25545 25792 26000 26200 27248 28950 29760 29915 30108 30225 30880 31000 31200 31440 32000 32240 32488 32750 33536 34060 34322 35898 37056 37200 37635 38600 38688 39000 39300 39680 40144 40300 40610 40872 41600 41920 42575 46320 46500 47864 48000 48250 48360 48732 49125 49408 49600 49920 50180 50304 50375 50566 51090 51483 51584 52000 52400 52793 54496 57900 59520 59830 60216 60450 60915 61760 62000 62400 62725 62880 64480 64976 65500 68120 68644 71796 72375 74112 74400 75270 75849 77200 77376 77779 78000 78600 80288 80600 81220 81744 83200 83840 85150 85805 89745 92640 93000 95728 96000 96500 96720 97464 98250 99200 100360 100608 100750 101132 101525 102180 102966 103168 104000 104800 105586 108992 115800 119040 119660 120432 120900 121830 123520 124000 124800 125450 125760 126415 127725 128960 129952 131000 136240 137288 143592 144750 148224 148800 149575 150540 151125 151698 154400 154752 155558 156000 157200 158379 160576 161200 162440 163488 167680 170300 171610 179490 185280 186000 188175 191456 193000 193440 194928 196500 198400 200720 201500 202264 203050 204360 205932 208000 209600 211172 212875 217984 223093 231600 233337 239320 240864 241800 243660 247040 248000 249600 250900 251520 252830 255450 257415 257920 259904 262000 263965 272480 274576 287184 289500 297600 299150 301080 302250 303396 304575 308800 309504 311116 312000 313625 314400 316758 321152 322400 324880 326976 328679 340600 343220 358980 370560 372000 376350 379245 382912 386000 386880 388895 389856 393000 401440 403000 404528 406100 408720 411864 416000 419200 422344 425750 429025 435968 446186 448725 463200 466674 478640 481728 483600 487320 496000 501800 503040 505660 507625 510900 514830 515840 519808 524000 527930 531991 544960 549152 574368 579000 595200 598300 602160 604500 606792 609150 617600 622232 624000 627250 628800 632075 633516 638625 642304 644800 649760 653952 657358 669279 681200 686440 717960 741120 744000 747875 752700 758490 765824 772000 773760 777790 779712 783773 786000 791895 802880 806000 809056 812200 817440 823728 838400 844688 851500 858050 892372 897450 926400 933348 940875 957280 963456 967200 974640 986037 992000 1003600 1011320 1015250 1021800 1029660 1039616 1048000 1055860 1063982 1089920 1098304 1115465 1148736 1158000 1166685 1196600 1204320 1209000 1213584 1218300 1235200 1244464 1248000 1254500 1257600 1264150 1267032 1277250 1287075 1289600 1299520 1307904 1314716 1319825 1338558 1362400 1372880 1435920 1488000 1495750 1505400 1516980 1522875 1531648 1544000 1547520 1555580 1559424 1567546 1572000 1583790 1595973 1605760 1612000 1618112 1624400 1634880 1643395 1647456 1689376 1703000 1716100 1784744 1794900 1852800 1866696 1881750 1896225 1914560 1926912 1934400 1944475 1949280 1972074 2007200 2022640 2030500 2043600 2059320 2096000 2111720 2127964 2145125 2179840 2196608 2230930 2243625 2297472 2316000 2333370 2351319 2393200 2408640 2418000 2427168 2436600 2488928 2509000 2515200 2528300 2534064 2554500 2574150 2579200 2599040 2629432 2639650 2659955 2677116 2724800 2745760 2871840 2976000 2991500 3010800 3033960 3045750 3088000 3111160 3118848 3135092 3144000 3160375 3167580 3191946 3211520 3224000 3236224 3248800 3269760 3286790 3294912 3312073 3346395 3378752 3406000 3432200 3569488 3589800 3705600 3733392 3763500 3792450 3829120 3868800 3888950 3898560 3918865 3944148 3959475 4014400 4045280 4061000 4087200 4118640 4192000 4223440 4255928 4290250 4393216 4461860 4487250 4594944 4632000 4666740 4702638 4786400 4817280 4836000 4854336 4873200 4930185 4977856 5018000 5056600 5068128 5109000 5148300 5198080 5258864 5279300 5319910 5354232 5449600 5491520 5577325 5743680 5833425 5983000 6021600 6067920 6091500 6176000 6222320 6270184 6288000 6320750 6335160 6383892 6435375 6448000 6472448 6497600 6539520 6573580 6589824 6599125 6624146 6692790 6757504 6812000 6864400 6915883 7138976 7179600 7466784 7527000 7584900 7658240 7737600 7777900 7797120 7837730 7888296 7918950 7979865 8028800 8090560 8122000 8174400 8216975 8237280 8446880 8511856 8580500 8923720 8974500 9264000 9333480 9405276 9481125 9572800 9634560 9672000 9708672 9722375 9746400 9860370 9936219 9955712 10036000 10113200 10136256 10189049 10218000 10296600 10517728 10558600 10639820 10708464 10899200 10983040 11154650 11487360 11666850 11756595 11966000 12043200 12135840 12183000 12444640 12540368 12576000 12641500 12670320 12767784 12870750 12896000 12995200 13147160 13179648 13198250 13248292 13299775 13385580 13515008 13624000 13728800 13831766 14277952 14359200 14933568 15054000 15169800 15555800 15594240 15675460 15776592 15837900 15959730 16057600 16181120 16244000 16348800 16433950 16474560 16560365 16731975 16893760 17023712 17161000 17847440 17949000 18528000 18666960 18810552 18962250 19145600 19344000 19417344 19444750 19492800 19594325 19720740 19797375 19872438 19911424 20072000 20226400 20272512 20378098 20436000 20593200 20747649 21035456 21117200 21279640 21416928 21966080 22309300 22974720 23333700 23513190 23932000 24086400 24271680 24366000 24650925 24889280 25080736 25283000 25340640 25535568 25741500 25990400 26294320 26396500 26496584 26599550 26771160 27248000 27457600 27663532 27886625 28555904 28718400 29167125 29867136 30108000 30339600 30567147 31111600 31350920 31553184 31675800 31919460 32362240 32488000 32697600 32867900 32949120 33120730 33463950 33787520 34047424 34322000 34579415 35694880 35898000 37333920 37621104 37924500 38291200 38688000 38889500 38985600 39188650 39441480 39594750 39744876 39899325 40144000 40452800 40545024 40756196 40872000 41084875 41186400 41495298 42070912 42234400 42559280 42833856 43056949 44618600 46667400 47026380 47864000 48172800 48543360 48732000 49301850 49681095 49778560 50161472 50566000 50681280 50945245 51071136 51483000 52588640 52793000 52993168 53199100 53542320 54496000 54915200 55327064 55773250 57111808 57436800 58334250 58782975 59734272 60216000 60679200 61134294 62223200 62701840 63106368 63351600 63838920 64976000 65735800 65898240 66241460 66498875 66927900 67575040 68094848 68644000 69158830 71389760 71796000 74667840 75242208 75849000 77779000 77971200 78377300 78882960 79189500 79489752 79798650 80288000 80905600 81512392 81744000 82169750 82372800 82801825 82990596 83659875 84141824 84468800 85118560 85667712 86113898 89237200 93334800 94052760 95728000 97086720 97464000 97971625 98603700 99362190 99557120 100322944 101132000 101362560 101890490 102142272 102674263 102966000 103738245 105177280 105586000 105986336 106398200 107084640 109830400 110654128 111546500 114873600 116668500 117565950 120432000 121358400 122268588 123254625 124446400 125403680 126212736 126703200 127677840 129170847 129952000 131471600 132482920 132997750 133855800 136189696 137288000 138317660 142779520 143592000 149335680 150484416 151698000 152835735 155558000 156754600 157765920 158379000 158979504 159597300 161811200 163024784 163488000 164339500 164745600 165603650 165981192 167319750 168937600 170237120 171335424 172227796 172897075 178474400 186669600 188105520 191456000 194928000 195943250 197207400 198724380 199496625 200645888 202264000 202725120 203780980 204284544 205348526 205932000 207476490 210354560 211172000 211972672 212796400 214169280 215284745 221308256 223093000 233337000 235131900 240864000 242716800 244537176 246509250 248405475 248892800 250807360 252425472 253406400 254726225 255355680 258341694 262943200 264965840 265995500 267711600 274576000 276635320 285559040 287184000 293914875 298671360 300968832 303396000 305671470 308022789 311116000 313509200 315531840 316758000 317959008 319194600 326049568 328679000 329491200 331207300 331962384 334639500 337875200 340474240 344455592 345794150 356948800 373339200 376211040 389856000 391886500 394414800 397448760 398993250 404528000 407561960 408569088 410697052 411864000 414009125 414952980 420709120 422344000 423945344 425592800 428338560 430569490 442616512 446186000 466674000 470263800 485433600 489074352 493018500 496810950 497785600 501614720 506812800 509452450 510711360 513371315 516683388 518691225 525886400 529931680 531991000 535423200 549152000 553270640 574368000 587829750 601937664 606792000 611342940 616045578 622232000 627018400 631063680 633516000 635918016 638389200 645854235 652099136 657358000 662414600 663924768 669279000 680948480 688911184 691588300 713897600 746678400 752422080 764178675 783773000 788829600 794897520 797986500 809056000 815123920 821394104 823728000 828018250 829905960 844688000 847890688 851185600 856677120 861138980 864485375 885233024 892372000 933348000 940527600 978148704 986037000 993621900 1003229440 1013625600 1018904900 1021422720 1026742630 1033366776 1037382450 1051772800 1059863360 1063982000 1070846400 1076423725 1106541280 1175659500 1213584000 1222685880 1232091156 1242027375 1244464000 1254036800 1262127360 1267032000 1271836032 1273631125 1276778400 1291708470 1304198272 1314716000 1324829200 1327849536 1334765419 1338558000 1377822368 1383176600 1427795200 1493356800 1504844160 1528357350 1540113945 1567546000 1577659200 1589795040 1595973000 1630247840 1642788208 1647456000 1656036500 1659811920 1689376000 1702371200 1722277960 1728970750 1770466048 1784744000 1866696000 1881055200 1956297408 1972074000 1987243800 2037809800 2042845440 2053485260 2066733552 2074764900 2103545600 2119726720 2127964000 2141692800 2152847450 2213082560 2351319000 2427168000 2445371760 2464182312 2484054750 2488928000 2508073600 2534064000 2543672064 2547262250 2553556800 2566856575 2583416940 2593456125 2608396544 2629432000 2649658400 2655699072 2669530838 2677116000 2755644736 2766353200 3009688320 3056714700 3080227890 3135092000 3155318400 3179590080 3191946000 3229271175 3260495680 3285576416 3312073000 3319623840 3404742400 3444555920 3457941500 3569488000 3733392000 3762110400 3820893375 3912594816 3944148000 3974487600 4004296257 4075619600 4106970520 4133467104 4149529800 4239453440 4255928000 4283385600 4305694900 4426165120 4702638000 4890743520 4928364624 4968109500 5016147200 5068128000 5094524500 5107113600 5133713150 5166833880 5186912250 5258864000 5299316800 5311398144 5339061676 5354232000 5382118625 5511289472 5532706400 6113429400 6160455780 6270184000 6310636800 6359180160 6383892000 6458542350 6520991360 6571152832 6624146000 6639247680 6673827095 6889111840 6915883000 7138976000 7466784000 7524220800 7641786750 7700569725 7825189632 7888296000 7948975200 8008592514 8151239200 8213941040 8266934208 8299059600 8511856000 8611389800 8852330240 9405276000 9781487040 9856729248 9936219000 10189049000 10214227200 10267426300 10333667760 10373824500 10517728000 10598633600 10678123352 10708464000 10764237250 11022578944 11065412800 12226858800 12320911560 12540368000 12718360320 12767784000 12834282875 12917084700 13041982720 13142305664 13248292000 13278495360 13347654190 13778223680 13831766000 15048441600 15283573500 15401139450 15776592000 15897950400 16017185028 16146355875 16302478400 16427882080 16533868416 16598119200 17023712000 17222779600 18810552000 19562974080 19713458496 19872438000 20021481285 20378098000 20534852600 20667335520 20747649000 21197267200 21356246704 21416928000 21528474500 22130825600 24453717600 24641823120 25080736000 25535568000 25668565750 25834169400 26284611328 26496584000 26556990720 26695308380 27556447360 27663532000 30567147000 30802278900 31553184000 31795900800 32034370056 32292711750 32604956800 32855764160 33067736832 33196238400 33369135475 34445559200 37621104000 38502848625 39125948160 39426916992 39744876000 40042962570 40756196000 41069705200 41334671040 41495298000 42712493408 43056949000 44261651200 48907435200 49283646240 51071136000 51337131500 51668338800 52993168000 53390616760 55112894720 55327064000 61134294000 61604557800 63591801600 64068740112 64585423500 65209913600 65711528320 66392476800 66738270950 68891118400 75242208000 77005697250 78853833984 79489752000 80085925140 81512392000 82139410400 82669342080 82990596000 85424986816 86113898000 97814870400 98567292480 100107406425 102674263000 103336677600 105986336000 106781233520 110654128000 122268588000 123209115600 128137480224 129170847000 131423056640 132784953600 133476541900 137782236800 154011394500 158979504000 160171850280 163024784000 164278820800 165338684160 165981192000 166845677375 170849973632 172227796000 195629740800 197134584960 200214812850 205348526000 206673355200 213562467040 221308256000 244537176000 246418231200 256274960448 258341694000 266953083800 275564473600 308022789000 317959008000 320343700560 326049568000 328557641600 331962384000 333691354750 341699947264 344455592000 394269169920 400429625700 410697052000 413346710400 427124934080 489074352000 492836462400 500537032125 512549920896 516683388000 533906167600 616045578000 640687401120 657115283200 663924768000 667382709500 688911184000 800859251400 821394104000 826693420800 854249868160 978148704000 985672924800 1001074064250 1025099841792 1033366776000 1067812335200 1232091156000 1281374802240 1334765419000 1377822368000 1601718502800 1642788208000 1708499736320 1971345849600 2002148128500 2066733552000 2135624670400 2464182312000 2562749604480 2669530838000 3203437005600 3285576416000 4004296257000 4133467104000 4271249340800 4928364624000 5125499208960 5339061676000 6406874011200 8008592514000 8542498681600 9856729248000 10678123352000 12813748022400 16017185028000 21356246704000 25627496044800 32034370056000 42712493408000 64068740112000 128137480224000
- Sum of all divisors σ(n): 479242776090624
- Sum of proper divisors (its aliquot sum) s(n): 351105295866624
- 128137480224000 is an abundant number, because the sum of its proper divisors (351105295866624) is greater than itself. Its abundance is 222967815642624
Bases of 128137480224000
- Binary: 111010010001010010101001111110110111101000000002
- Hexadecimal: 0x748A54FDBD00
- Base-36: 19F5JNBAIO
Squares and roots of 128137480224000
- 128137480224000 squared (1281374802240002) is 16419213838155991090176000000
- 128137480224000 cubed (1281374802240003) is 2103916688480340444944547400679424000000000
-
The
square root of 128137480224000 is 11319782.6933205745 -
The
cube root of 128137480224000 is 50414.8786885799
Scales and comparisons
How big is 128137480224000?- 128,137,480,224,000 seconds is equal to 4,074,375 years, 26 weeks, 5 days, 18 hours, 40 minutes.
-
To count from 1 to 128,137,480,224,000 would take you about ten million, one hundred eighty-five thousand, nine hundred thirty-eight 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 128137480224000 cubic inches would be around 4201.2 feet tall.
Recreational maths with 128137480224000
- 128137480224000 backwards is 000422084731821
- The number of decimal digits it has is: 15
- The sum of 128137480224000's digits is 42
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 128137480224000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 128137480224000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/128137480224000/
Chicago style:
Numbermatics. 2024. "Number 128137480224000 - Facts about the integer". https://numbermatics.com/n/128137480224000/
The information we have on file for 128137480224000 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 128137480224000, math, Factors of 128137480224000, curriculum, school, college, exams, university, Prime factorization of 128137480224000, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-eight trillion, one hundred thirty-seven billion, four hundred eighty million, two hundred twenty-four thousand.