133828461144000
133,828,461,144,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 133828461144000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1792 divisors.
133828461144000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 133828461144000:
26 × 37 × 53 × 7 × 1033
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 103 × 103 × 103)See below for interesting mathematical facts about the number 133828461144000 from the Numbermatics database.
Names of 133828461144000
- Cardinal: 133828461144000 can be written as One hundred thirty-three trillion, eight hundred twenty-eight billion, four hundred sixty-one million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.33828461144 × 1014
Factors of 133828461144000
Divisors of 133828461144000
- Number of divisors d(n): 1792
-
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 81 84 90 96 100 103 105 108 112 120 125 126 135 140 144 150 160 162 168 175 180 189 192 200 206 210 216 224 225 240 243 250 252 270 280 288 300 309 315 320 324 336 350 360 375 378 400 405 412 420 432 448 450 480 486 500 504 515 525 540 560 567 576 600 618 630 648 672 675 700 720 721 729 750 756 800 810 824 840 864 875 900 927 945 960 972 1000 1008 1030 1050 1080 1120 1125 1134 1200 1215 1236 1260 1296 1344 1350 1400 1440 1442 1458 1500 1512 1545 1575 1600 1620 1648 1680 1701 1728 1750 1800 1854 1890 1944 2000 2016 2025 2060 2100 2160 2163 2187 2240 2250 2268 2400 2430 2472 2520 2575 2592 2625 2700 2781 2800 2835 2880 2884 2916 3000 3024 3090 3150 3240 3296 3360 3375 3402 3500 3600 3605 3645 3708 3780 3888 4000 4032 4050 4120 4200 4320 4326 4374 4500 4536 4635 4725 4800 4860 4944 5040 5103 5150 5184 5250 5400 5562 5600 5670 5768 5832 6000 6048 6075 6180 6300 6480 6489 6592 6720 6750 6804 7000 7200 7210 7290 7416 7560 7725 7776 7875 8000 8100 8240 8343 8400 8505 8640 8652 8748 9000 9072 9270 9450 9720 9888 10080 10125 10206 10300 10500 10609 10800 10815 10935 11124 11200 11340 11536 11664 12000 12096 12150 12360 12600 12875 12960 12978 13500 13608 13905 14000 14175 14400 14420 14580 14832 15120 15309 15450 15552 15750 16200 16480 16686 16800 17010 17304 17496 18000 18025 18144 18225 18540 18900 19440 19467 19776 20160 20250 20412 20600 21000 21218 21600 21630 21870 22248 22680 23072 23175 23328 23625 24000 24300 24720 25029 25200 25515 25750 25920 25956 27000 27216 27810 28000 28350 28840 29160 29664 30240 30375 30618 30900 31500 31827 32400 32445 32960 33372 33600 34020 34608 34992 36000 36050 36288 36450 37080 37800 38625 38880 38934 40500 40824 41200 41715 42000 42436 42525 43200 43260 43740 44496 45360 46144 46350 46656 47250 48600 49440 50058 50400 51030 51500 51912 53045 54000 54075 54432 54675 55620 56000 56700 57680 58320 58401 59328 60480 60750 61236 61800 63000 63654 64800 64890 66744 68040 69216 69525 69984 70875 72000 72100 72900 74160 74263 75087 75600 76545 77250 77760 77868 81000 81648 82400 83430 84000 84872 85050 86520 87480 88992 90125 90720 91125 92700 94500 95481 97200 97335 98880 100116 100800 102060 103000 103824 106090 108000 108150 108864 109350 111240 113400 115360 115875 116640 116802 121500 122472 123600 125145 126000 127308 127575 129600 129780 133488 136080 138432 139050 139968 141750 144200 145800 148320 148526 150174 151200 153090 154500 155736 159135 162000 162225 163296 164800 166860 168000 169744 170100 173040 174960 175203 177984 180250 181440 182250 185400 189000 190962 194400 194670 200232 204120 206000 207648 208575 212180 212625 216000 216300 218700 222480 222789 225261 226800 230720 231750 233280 233604 243000 244944 247200 250290 252000 254616 255150 259560 265225 266976 270375 272160 273375 278100 283500 286443 288400 291600 292005 296640 297052 300348 302400 306180 309000 311472 318270 324000 324450 326592 333720 339488 340200 346080 347625 349920 350406 360500 364500 370800 371315 375435 378000 381924 382725 388800 389340 400464 408240 412000 415296 417150 424360 425250 432600 437400 444960 445578 450522 453600 463500 467208 477405 486000 486675 489888 494400 500580 504000 509232 510300 519120 525609 530450 533952 540750 544320 546750 556200 567000 572886 576800 583200 584010 594104 600696 612360 618000 622944 625725 636540 637875 648000 648900 667440 668367 678976 680400 692160 695250 699840 700812 721000 729000 741600 742630 750870 756000 763848 765450 778680 795675 800928 811125 816480 824000 834300 848720 850500 859329 865200 874800 876015 889920 891156 901044 907200 927000 934416 954810 972000 973350 979776 1001160 1018464 1020600 1038240 1042875 1051218 1060900 1081500 1092727 1093500 1112400 1113945 1126305 1134000 1145772 1153600 1166400 1168020 1188208 1201392 1224720 1236000 1245888 1251450 1273080 1275750 1297800 1326125 1334880 1336734 1360800 1390500 1401624 1432215 1442000 1458000 1460025 1483200 1485260 1501740 1512000 1527696 1530900 1557360 1576827 1591350 1601856 1622250 1632960 1668600 1697440 1701000 1718658 1730400 1749600 1752030 1782312 1802088 1854000 1856575 1868832 1877175 1909620 1913625 1944000 1946700 2002320 2005101 2036928 2041200 2076480 2085750 2102436 2121800 2163000 2185454 2187000 2224800 2227890 2252610 2268000 2291544 2336040 2376416 2387025 2402784 2433375 2449440 2472000 2502900 2546160 2551500 2577987 2595600 2628045 2652250 2669760 2673468 2721600 2781000 2803248 2864430 2884000 2916000 2920050 2970520 3003480 3055392 3061800 3114720 3128625 3153654 3182700 3244500 3278181 3337200 3341835 3394880 3402000 3437316 3460800 3499200 3504060 3564624 3604176 3708000 3713150 3737664 3754350 3819240 3827250 3893400 3978375 4004640 4010202 4082400 4171500 4204872 4243600 4296645 4326000 4370908 4374000 4380075 4449600 4455780 4505220 4536000 4583088 4672080 4752832 4774050 4805568 4866750 4898880 5005800 5092320 5103000 5155974 5191200 5256090 5304500 5346936 5463635 5562000 5569725 5606496 5631525 5728860 5768000 5832000 5840100 5941040 6006960 6015303 6110784 6123600 6229440 6257250 6307308 6365400 6489000 6556362 6674400 6683670 6804000 6874632 7008120 7129248 7161075 7208352 7300125 7416000 7426300 7508700 7638480 7649089 7654500 7733961 7786800 7884135 7956750 8009280 8020404 8164800 8343000 8409744 8487200 8593290 8652000 8741816 8748000 8760150 8911560 9010440 9166176 9282875 9344160 9385875 9548100 9733500 9834543 10011600 10025505 10184640 10206000 10311948 10382400 10512180 10609000 10693872 10927270 11124000 11139450 11212992 11263050 11457720 11680200 11882080 11935125 12013920 12030606 12247200 12514500 12614616 12730800 12889935 12978000 13112724 13140225 13348800 13367340 13608000 13749264 14016240 14258496 14322150 14416704 14600250 14852600 15017400 15276960 15298178 15309000 15467922 15573600 15768270 15913500 16040808 16390905 16686000 16709175 16819488 16974400 17186580 17304000 17483632 17496000 17520300 17823120 18020880 18045909 18332352 18565750 18688320 18771750 19096200 19467000 19669086 20023200 20051010 20412000 20623896 21024360 21218000 21387744 21483225 21854540 21900375 22248000 22278900 22526100 22915440 22947267 23201883 23360400 23764160 23870250 24027840 24061212 24494400 25029000 25229232 25461600 25779870 25956000 26225448 26280450 26734680 27318175 27498528 27848625 28032480 28157625 28644300 29200500 29503629 29705200 30034800 30076515 30553920 30596356 30618000 30935844 31147200 31536540 31827000 32081616 32781810 33372000 33418350 33638976 34373160 34967264 35040600 35646240 35805375 36041760 36091818 37131500 37543500 38192400 38245445 38669805 38934000 39338172 39420675 40046400 40102020 40824000 41247792 42048720 42436000 42775488 42966450 43709080 43800750 44557800 45052200 45830880 45894534 46403766 46720800 47740500 48122424 49172715 50058000 50127525 50458464 50923200 51559740 51912000 52450896 52560900 53469360 54137727 54636350 54997056 55697250 56064960 56315250 57288600 58401000 59007258 59410400 60069600 60153030 61192712 61236000 61871688 63073080 63654000 64163232 64449675 65563620 65701125 66744000 66836700 68746320 68841801 69934528 70081200 71292480 71610750 72083520 72183636 74263000 75087000 76384800 76490890 77339610 77868000 78676344 78841350 80204040 81954525 82495584 83545875 84097440 84872000 85932900 87418160 87601500 88510887 89115600 90104400 90229545 91661760 91789068 92807532 93441600 95481000 96244848 98345430 100116000 100255050 100916928 103119480 104901792 105121800 106938720 107416125 108275454 109272700 111394500 112630500 114577200 114736335 116009415 116802000 118014516 118820800 120139200 120306060 122385424 122472000 123743376 126146160 127308000 128326464 128899350 131127240 131402250 133673400 136590875 137492640 137683602 140162400 143221500 144367272 147518145 148526000 150174000 150382575 152769600 152981780 154679220 155736000 157352688 157682700 160408080 162413181 163909050 164991168 167091750 168194880 171865800 174836320 175203000 177021774 178231200 180208800 180459090 183578136 185615064 190962000 191227225 192489696 193349025 196690860 197103375 200232000 200510100 206238960 206525403 209803584 210243600 213877440 214832250 216550908 218545400 222789000 225261000 229154400 229472670 232018830 233604000 236029032 240612120 244770848 245863575 247486752 250637625 252292320 254616000 257798700 262254480 262804500 265532661 267346800 270688635 273181750 274985280 275367204 280324800 286443000 288734544 295036290 297052000 300348000 300765150 305963560 309358440 314705376 315365400 320816160 322248375 324826362 327818100 334183500 343731600 344209005 349672640 350406000 354043548 356462400 360417600 360918180 367156272 371230128 381924000 382454450 384979392 386698050 393381720 394206750 401020200 409772625 412477920 413050806 420487200 429664500 433101816 437090800 442554435 445578000 450522000 451147725 458308800 458945340 464037660 467208000 472058064 481224240 489541696 491727150 494973504 501275250 504584640 515597400 524508960 525609000 531065322 534693600 541377270 546363500 550734408 572886000 573681675 577469088 580047075 590072580 594104000 600696000 601530300 611927120 618716880 619576209 629410752 630730800 641632320 644496750 649652724 655636200 668367000 687463200 688418010 700812000 708087096 721836360 734312544 737590725 742460256 751912875 763848000 764908900 773396100 786763440 788413500 796597983 802040400 812065905 819545250 824955840 826101612 840974400 859329000 866203632 874181600 885108870 891156000 901044000 902295450 917890680 928075320 944116128 956136125 962448480 966745125 983454300 1002550500 1031194800 1032627015 1049017920 1051218000 1062130644 1069387200 1082754540 1092727000 1101468816 1145772000 1147363350 1154938176 1160094150 1180145160 1203060600 1223854240 1229317875 1237433760 1239152418 1261461600 1288993500 1299305448 1311272400 1327663305 1336734000 1353443175 1374926400 1376836020 1401624000 1416174192 1443672720 1468625088 1475181450 1484920512 1503825750 1529817800 1546792200 1573526880 1576827000 1593195966 1604080800 1624131810 1639090500 1652203224 1718658000 1721045025 1732407264 1748363200 1770217740 1782312000 1802088000 1804590900 1835781360 1856150640 1858728627 1888232256 1912272250 1924896960 1933490250 1966908600 2005101000 2062389600 2065254030 2102436000 2124261288 2165509080 2185454000 2202937632 2212772175 2255738625 2291544000 2294726700 2320188300 2360290320 2389793949 2406121200 2447708480 2458635750 2474867520 2478304836 2522923200 2577987000 2598610896 2622544800 2655326610 2673468000 2706886350 2753672040 2832348384 2868408375 2887345440 2900235375 2950362900 3007651500 3059635600 3093584400 3097881045 3147053760 3153654000 3186391932 3208161600 3248263620 3278181000 3304406448 3437316000 3442090050 3464814528 3540435480 3609181800 3671562720 3687953625 3712301280 3717457254 3824544500 3866980500 3933817200 3982989915 4010202000 4060329525 4124779200 4130508060 4204872000 4248522576 4331018160 4370908000 4405875264 4425544350 4511477250 4589453400 4640376600 4720580640 4779587898 4812242400 4917271500 4956609672 5155974000 5163135075 5197221792 5245089600 5310653220 5346936000 5413772700 5507344080 5576185881 5664696768 5736816750 5774690880 5800470750 5900725800 6015303000 6119271200 6187168800 6195762090 6307308000 6372783864 6496527240 6556362000 6608812896 6638316525 6767215875 6874632000 6884180100 7080870960 7218363600 7343125440 7375907250 7424602560 7434914508 7649089000 7733961000 7867634400 7965979830 8020404000 8120659050 8261016120 8497045152 8605225125 8662036320 8741816000 8851088700 9022954500 9178906800 9280753200 9293643135 9441161280 9559175796 9624484800 9834543000 9913219344 10311948000 10326270150 10394443584 10621306440 10827545400 11014688160 11063860875 11152371762 11473633500 11600941500 11801451600 11948969745 12030606000 12238542400 12374337600 12391524180 12614616000 12745567728 12993054480 13112724000 13217625792 13276633050 13534431750 13768360200 14161741920 14436727200 14751814500 14869829016 15298178000 15467922000 15489405225 15735268800 15931959660 16040808000 16241318100 16522032240 16728557643 16994090304 17210450250 17324072640 17702177400 18045909000 18357813600 18561506400 18587286270 19118351592 19669086000 19826438688 19914949575 20301647625 20623896000 20652540300 21242612880 21655090800 22029376320 22127721750 22304743524 22947267000 23201883000 23602903200 23897939490 24061212000 24783048360 25491135456 25815675375 25986108960 26225448000 26553266100 27068863500 27536720400 27880929405 28323483840 28873454400 29503629000 29739658032 30596356000 30935844000 30978810450 31863919320 32482636200 33044064480 33191582625 33457115286 34420900500 35404354800 36091818000 36715627200 37123012800 37174572540 38236703184 39338172000 39652877376 39829899150 40603295250 41305080600 42485225760 43310181600 44255443500 44609487048 45894534000 46403766000 46468215675 47205806400 47795878980 48122424000 49566096720 50982270912 51631350750 51972217920 53106532200 54137727000 55073440800 55761858810 59007258000 59479316064 59744848725 61192712000 61871688000 61957620900 63727838640 64965272400 66088128960 66383165250 66914230572 68841801000 70808709600 72183636000 74349145080 76473406368 77447026125 78676344000 79659798300 81206590500 82610161200 83642788215 84970451520 86620363200 88510887000 89218974096 91789068000 92807532000 92936431350 95591757960 99132193440 99574747875 103262701500 106213064400 108275454000 110146881600 111523717620 118014516000 118958632128 119489697450 123915241800 127455677280 129930544800 132766330500 133828461144 137683602000 139404647025 141617419200 144367272000 148698290160 152946812736 154894052250 159319596600 162413181000 165220322400 167285576430 177021774000 178437948192 183578136000 185615064000 185872862700 191183515920 198264386880 199149495750 206525403000 212426128800 216550908000 223047435240 232341078375 236029032000 238979394900 247830483600 254911354560 259861089600 265532661000 267656922288 275367204000 278809294050 297396580320 298724243625 309788104500 318639193200 324826362000 330440644800 334571152860 354043548000 356875896384 371745725400 382367031840 398298991500 413050806000 418213941075 424852257600 433101816000 446094870480 464682156750 477958789800 495660967200 531065322000 535313844576 550734408000 557618588100 594793160640 597448487250 619576209000 637278386400 649652724000 669142305720 697023235125 708087096000 743491450800 764734063680 796597983000 826101612000 836427882150 892189740960 929364313500 955917579600 991321934400 1062130644000 1070627689152 1115237176200 1194896974500 1239152418000 1274556772800 1299305448000 1338284611440 1394046470250 1486982901600 1593195966000 1652203224000 1672855764300 1784379481920 1858728627000 1911835159200 2091069705375 2124261288000 2230474352400 2389793949000 2478304836000 2676569222880 2788092940500 2973965803200 3186391932000 3345711528600 3717457254000 3823670318400 4182139410750 4460948704800 4779587898000 4956609672000 5353138445760 5576185881000 6372783864000 6691423057200 7434914508000 8364278821500 8921897409600 9559175796000 11152371762000 13382846114400 14869829016000 16728557643000 19118351592000 22304743524000 26765692228800 33457115286000 44609487048000 66914230572000 133828461144000
- Sum of all divisors σ(n): 573641910067200
- Sum of proper divisors (its aliquot sum) s(n): 439813448923200
- 133828461144000 is an abundant number, because the sum of its proper divisors (439813448923200) is greater than itself. Its abundance is 305984987779200
Bases of 133828461144000
- Binary: 111100110110111010111011110001100100111110000002
- Hexadecimal: 0x79B75DE327C0
- Base-36: 1BFRY2F000
Squares and roots of 133828461144000
- 133828461144000 squared (1338284611440002) is 17910057012171117788736000000
- 133828461144000 cubed (1338284611440003) is 2396875368940167172068902976873984000000000
-
The
square root of 133828461144000 is 11568425.1799456265 -
The
cube root of 133828461144000 is 51150.4542301059
Scales and comparisons
How big is 133828461144000?- 133,828,461,144,000 seconds is equal to 4,255,331 years, 5 weeks, 3 days, 12 hours.
-
To count from 1 to 133,828,461,144,000 would take you about ten million, six hundred thirty-eight thousand, three hundred twenty-seven 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 133828461144000 cubic inches would be around 4262.5 feet tall.
Recreational maths with 133828461144000
- 133828461144000 backwards is 000441164828331
- 133828461144000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 133828461144000's digits is 45
- More coming soon!
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The information we have on file for 133828461144000 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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