13420985745646128000
13,420,985,745,646,128,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13420985745646128000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1024 divisors.
13420985745646128000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 13420985745646128000:
27 × 3 × 53 × 13 × 29 × 1579 × 469699067
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 29 × 1579 × 469699067)See below for interesting mathematical facts about the number 13420985745646128000 from the Numbermatics database.
Names of 13420985745646128000
- Cardinal: 13420985745646128000 can be written as Thirteen quintillion, four hundred twenty quadrillion, nine hundred eighty-five trillion, seven hundred forty-five billion, six hundred forty-six million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3420985745646128 × 1019
Factors of 13420985745646128000
Divisors of 13420985745646128000
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 29 30 32 39 40 48 50 52 58 60 64 65 75 78 80 87 96 100 104 116 120 125 128 130 145 150 156 160 174 192 195 200 208 232 240 250 260 290 300 312 320 325 348 375 377 384 390 400 416 435 464 480 500 520 580 600 624 640 650 696 725 750 754 780 800 832 870 928 960 975 1000 1040 1131 1160 1200 1248 1300 1392 1450 1500 1508 1560 1579 1600 1625 1664 1740 1856 1885 1920 1950 2000 2080 2175 2262 2320 2400 2496 2600 2784 2900 3000 3016 3120 3158 3200 3250 3480 3625 3712 3770 3900 4000 4160 4350 4524 4640 4737 4800 4875 4992 5200 5568 5655 5800 6000 6032 6240 6316 6500 6960 7250 7540 7800 7895 8000 8320 8700 9048 9280 9425 9474 9600 9750 10400 10875 11136 11310 11600 12000 12064 12480 12632 13000 13920 14500 15080 15600 15790 16000 17400 18096 18560 18850 18948 19500 20527 20800 21750 22620 23200 23685 24000 24128 24960 25264 26000 27840 28275 29000 30160 31200 31580 34800 36192 37700 37896 39000 39475 41054 41600 43500 45240 45791 46400 47125 47370 48000 48256 50528 52000 55680 56550 58000 60320 61581 62400 63160 69600 72384 75400 75792 78000 78950 82108 87000 90480 91582 92800 94250 94740 101056 102635 104000 113100 116000 118425 120640 123162 124800 126320 137373 139200 141375 144768 150800 151584 156000 157900 164216 174000 180960 183164 188500 189480 197375 202112 205270 208000 226200 228955 232000 236850 241280 246324 252640 274746 278400 282750 301600 303168 307905 312000 315800 328432 348000 361920 366328 377000 378960 394750 410540 452400 457910 464000 473700 492648 505280 513175 549492 565500 592125 595283 603200 606336 615810 624000 631600 656864 686865 696000 723840 732656 754000 757920 789500 821080 904800 915820 947400 985296 1010560 1026350 1098984 1131000 1144775 1184250 1190566 1206400 1231620 1263200 1313728 1373730 1392000 1465312 1508000 1515840 1539525 1579000 1642160 1785849 1809600 1831640 1894800 1970592 2052700 2197968 2262000 2289550 2368500 2381132 2463240 2526400 2565875 2627456 2747460 2930624 2976415 3016000 3031680 3079050 3158000 3284320 3434325 3571698 3619200 3663280 3789600 3941184 4105400 4395936 4524000 4579100 4737000 4762264 4926480 5052800 5131750 5494920 5723875 5861248 5952830 6032000 6158100 6316000 6568640 6868650 7143396 7326560 7579200 7697625 7882368 8210800 8791872 8929245 9048000 9158200 9474000 9524528 9852960 10263500 10989840 11447750 11905660 12316200 12632000 13137280 13737300 14286792 14653120 14882075 15158400 15395250 16421600 17171625 17583744 17858490 18096000 18316400 18948000 19049056 19705920 20527000 21979680 22895500 23811320 24632400 25264000 27474600 28573584 29306240 29764150 30790500 32843200 34343250 35716980 36632800 37896000 38098112 39411840 41054000 43959360 44646225 45791000 47622640 49264800 54949200 57147168 59528300 61581000 65686400 68686500 71433960 73265600 74410375 75792000 76196224 82108000 87918720 89292450 91582000 95245280 98529600 109898400 114294336 119056600 123162000 137373000 142867920 146531200 148820750 164216000 178584900 183164000 190490560 197059200 219796800 223231125 228588672 238113200 246324000 274746000 285735840 297641500 328432000 357169800 366328000 380981120 439593600 446462250 469699067 476226400 492648000 549492000 571471680 595283000 714339600 732656000 892924500 939398134 952452800 985296000 1098984000 1142943360 1190566000 1409097201 1428679200 1785849000 1878796268 1904905600 2197968000 2348495335 2381132000 2818194402 2857358400 3571698000 3757592536 4696990670 4762264000 5636388804 5714716800 6106087871 7045486005 7143396000 7515185072 9393981340 9524528000 11272777608 11742476675 12212175742 13621272943 14090972010 14286792000 15030370144 18318263613 18787962680 22545555216 23484953350 24424351484 27242545886 28181944020 28573584000 30060740288 30530439355 35227430025 36636527226 37575925360 40863818829 45091110432 46969906700 48848702968 54485091772 56363888040 58712383375 60121480576 61060878710 68106364715 70454860050 73273054452 75151850720 81727637658 90182220864 91591318065 93939813400 97697405936 108970183544 112727776080 117424766750 122121757420 136212729430 140909720100 146546108904 150303701440 152652196775 163455275316 176137150125 177076548259 180364441728 183182636130 187879626800 195394811872 204319094145 217940367088 225455552160 234849533500 244243514840 272425458860 281819440200 293092217808 300607402880 305304393550 326910550632 340531823575 352274300250 354153096518 366365272260 375759253600 390789623744 408638188290 435880734176 450911104320 457956590325 469699067000 488487029680 531229644777 544850917720 563638880400 586184435616 610608787100 653821101264 681063647150 704548600500 708306193036 732730544520 741654826793 751518507200 763260983875 781579247488 817276376580 871761468352 885382741295 901822208640 915913180650 939398134000 976974059360 1021595470725 1062459289554 1089701835440 1127277760800 1172368871232 1221217574200 1307642202528 1362127294300 1409097201000 1416612386072 1465461089040 1483309653586 1503037014400 1526521967750 1634552753160 1702659117875 1743522936704 1770765482590 1831826361300 1878796268000 1953948118720 2043190941450 2124918579108 2179403670880 2224964480379 2254555521600 2289782951625 2344737742464 2442435148400 2615284405056 2656148223885 2724254588600 2818194402000 2833224772144 2930922178080 2966619307172 3053043935500 3269105506320 3405318235750 3541530965180 3663652722600 3708274133965 3757592536000 3907896237440 4086381882900 4249837158216 4358807341760 4426913706475 4449928960758 4509111043200 4579565903250 4884870296800 5107977353625 5230568810112 5312296447770 5448509177200 5636388804000 5666449544288 5861844356160 5933238614344 6106087871000 6538211012640 6810636471500 7083061930360 7327305445200 7416548267930 7515185072000 8172763765800 8499674316432 8717614683520 8853827412950 8899857921516 9159131806500 9641512748309 9769740593600 10215954707250 10624592895540 10897018354400 11124822401895 11272777608000 11332899088576 11723688712320 11866477228688 12212175742000 13076422025280 13280741119425 13621272943000 14166123860720 14654610890400 14833096535860 16345527531600 16999348632864 17707654825900 17799715843032 18318263613000 18541370669825 19283025496618 19539481187200 20431909414500 21249185791080 21507989976997 21794036708800 22134568532375 22249644803790 22545555216000 22665798177152 23732954457376 24424351484000 26152844050560 26561482238850 27242545886000 28332247721440 28924538244927 29309221780800 29666193071720 32691055063200 33998697265728 35415309651800 35599431686064 36636527226000 37082741339650 38566050993236 40863818829000 42498371582160 43015979953994 43588073417600 44269137064750 44499289607580 47465908914752 48207563741545 48848702968000 53122964477700 54485091772000 55624112009475 56664495442880 57849076489854 58618443561600 59332386143440 64523969930991 65382110126400 66403705597125 67997394531456 70830619303600 71198863372128 73273054452000 74165482679300 77132101986472 81727637658000 84996743164320 86031959907988 88538274129500 88998579215160 92706853349125 94931817829504 96415127483090 97697405936000 106245928955400 107539949884985 108970183544000 111248224018950 113328990885760 115698152979708 118664772286880 129047939861982 130764220252800 132807411194250 141661238607200 142397726744256 144622691224635 146546108904000 148330965358600 154264203972944 163455275316000 169993486328640 172063919815976 177076548259000 177997158430320 185413706698250 192830254966180 212491857910800 215079899769970 217940367088000 222496448037900 231396305959416 237329544573760 241037818707725 258095879723964 265614822388500 278120560047375 279603869700961 283322477214400 284795453488512 289245382449270 293092217808000 296661930717200 308528407945888 322619849654955 326910550632000 339986972657280 344127839631952 354153096518000 355994316860640 370827413396500 385660509932360 424983715821600 430159799539940 444992896075800 462792611918832 474659089147520 482075637415450 516191759447928 531229644777000 537699749424925 556241120094750 559207739401922 566644954428800 578490764898540 593323861434400 617056815891776 645239699309910 653821101264000 688255679263904 708306193036000 711988633721280 723113456123175 741654826793000 771321019864720 838811609102883 849967431643200 860319599079880 889985792151600 925585223837664 964151274830900 1032383518895856 1062459289554000 1075399498849850 1112482240189500 1118415478803844 1156981529797080 1186647722868800 1205189093538625 1234113631783552 1290479398619820 1376511358527808 1398019348504805 1416612386072000 1423977267442560 1446226912246350 1483309653586000 1542642039729440 1613099248274775 1677623218205766 1699934863286400 1720639198159760 1779971584303200 1851170447675328 1928302549661800 2064767037791712 2124918579108000 2150798997699700 2224964480379000 2236830957607688 2313963059594160 2373295445737600 2410378187077250 2580958797239640 2688498747124625 2753022717055616 2796038697009610 2833224772144000 2892453824492700 2966619307172000 3085284079458880 3226198496549550 3355246436411532 3441278396319520 3559943168606400 3615567280615875 3702340895350656 3856605099323600 4129534075583424 4194058045514415 4249837158216000 4301597995399400 4449928960758000 4473661915215376 4627926119188320 4820756374154500 5161917594479280 5376997494249250 5592077394019220 5784907648985400 5933238614344000 6170568158917760 6452396993099100 6710492872823064 6882556792639040 6990096742524025 7119886337212800 7231134561231750 7713210198647200 8065496241373875 8259068151166848 8388116091028830 8499674316432000 8603195990798800 8899857921516000 8947323830430752 9255852238376640 9641512748309000 10323835188958560 10753994988498500 11184154788038440 11569815297970800 11866477228688000 12904793986198200 13420985745646128 13765113585278080 13980193485048050 14462269122463500 15426420397294400 16130992482747750 16776232182057660 17206391981597600 17799715843032000 17894647660861504 18511704476753280 19283025496618000 20647670377917120 20970290227572075 21507989976997000 22368309576076880 23139630595941600 25809587972396400 26841971491292256 27960386970096100 28924538244927000 30852840794588800 32261984965495500 33552464364115320 34412783963195200 34950483712620125 35599431686064000 35789295321723008 38566050993236000 41295340755834240 41940580455144150 43015979953994000 44736619152153760 46279261191883200 51619175944792800 53683942982584512 55920773940192200 57849076489854000 64523969930991000 67104928728230640 68825567926390400 69900967425240250 77132101986472000 83881160910288300 86031959907988000 89473238304307520 92558522383766400 103238351889585600 104851451137860375 107367885965169024 111841547880384400 115698152979708000 129047939861982000 134209857456461280 139801934850480500 154264203972944000 167762321820576600 172063919815976000 178946476608615040 206476703779171200 209702902275720750 223683095760768800 231396305959416000 258095879723964000 268419714912922560 279603869700961000 335524643641153200 344127839631952000 419405804551441500 447366191521537600 462792611918832000 516191759447928000 536839429825845120 559207739401922000 671049287282306400 838811609102883000 894732383043075200 1032383518895856000 1118415478803844000 1342098574564612800 1677623218205766000 2236830957607688000 2684197149129225600 3355246436411532000 4473661915215376000 6710492872823064000 13420985745646128000
- Sum of all divisors σ(n): 49596479018626176000
- Sum of proper divisors (its aliquot sum) s(n): 36175493272980048000
- 13420985745646128000 is an abundant number, because the sum of its proper divisors (36175493272980048000) is greater than itself. Its abundance is 22754507527333920000
Bases of 13420985745646128000
- Binary: 10111010010000001110101101101101101000001101000110001011100000002
- Hexadecimal: 0xBA40EB6DA0D18B80
- Base-36: 2TYSEDZMMIIDC
Squares and roots of 13420985745646128000
- 13420985745646128000 squared (134209857456461280002) is 180122858384836554380308201392384000000
- 13420985745646128000 cubed (134209857456461280003) is 2417426314847927542735511352802414593115338289152000000000
-
The
square root of 13420985745646128000 is 3663466356.5598808431 -
The
cube root of 13420985745646128000 is 2376447.0292815241
Scales and comparisons
How big is 13420985745646128000?- 13,420,985,745,646,128,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,420,985,745,646,128,000 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 13420985745646128000 cubic inches would be around 198037.3 feet tall.
Recreational maths with 13420985745646128000
- 13420985745646128000 backwards is 00082164654758902431
- 13420985745646128000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13420985745646128000's digits is 75
- More coming soon!
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The information we have on file for 13420985745646128000 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 13420985745646128000, math, Factors of 13420985745646128000, curriculum, school, college, exams, university, Prime factorization of 13420985745646128000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, four hundred twenty quadrillion, nine hundred eighty-five trillion, seven hundred forty-five billion, six hundred forty-six million, one hundred twenty-eight thousand.