138328111584000
138,328,111,584,000 is an even composite number composed of five prime numbers multiplied together.
138328111584000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138328111584000:
28 × 36 × 53 × 133 × 2699
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 13 × 2699)See below for interesting mathematical facts about the number 138328111584000 from the Numbermatics database.
Names of 138328111584000
- Cardinal: 138328111584000 can be written as One hundred thirty-eight trillion, three hundred twenty-eight billion, one hundred eleven million, five hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.38328111584 × 1014
Factors of 138328111584000
Divisors of 138328111584000
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 81 90 96 100 104 108 117 120 125 128 130 135 144 150 156 160 162 169 180 192 195 200 208 216 225 234 240 243 250 256 260 270 288 300 312 320 324 325 338 351 360 375 384 390 400 405 416 432 450 468 480 486 500 507 520 540 576 585 600 624 640 648 650 675 676 702 720 729 750 768 780 800 810 832 845 864 900 936 960 972 975 1000 1014 1040 1053 1080 1125 1152 1170 1200 1215 1248 1280 1296 1300 1350 1352 1404 1440 1458 1500 1521 1560 1600 1620 1625 1664 1690 1728 1755 1800 1872 1920 1944 1950 2000 2025 2028 2080 2106 2160 2197 2250 2304 2340 2400 2430 2496 2535 2592 2600 2699 2700 2704 2808 2880 2916 2925 3000 3042 3120 3159 3200 3240 3250 3328 3375 3380 3456 3510 3600 3645 3744 3840 3888 3900 4000 4050 4056 4160 4212 4225 4320 4394 4500 4563 4680 4800 4860 4875 4992 5070 5184 5200 5265 5398 5400 5408 5616 5760 5832 5850 6000 6075 6084 6240 6318 6400 6480 6500 6591 6750 6760 6912 7020 7200 7290 7488 7605 7776 7800 8000 8097 8100 8112 8320 8424 8450 8640 8775 8788 9000 9126 9360 9477 9600 9720 9750 9984 10125 10140 10368 10400 10530 10796 10800 10816 10985 11232 11520 11664 11700 12000 12150 12168 12480 12636 12675 12960 13000 13182 13495 13500 13520 13689 14040 14400 14580 14625 14976 15210 15552 15600 15795 16000 16194 16200 16224 16640 16848 16900 17280 17550 17576 18000 18225 18252 18720 18954 19200 19440 19500 19773 20250 20280 20736 20800 21060 21125 21592 21600 21632 21970 22464 22815 23328 23400 24000 24291 24300 24336 24960 25272 25350 25920 26000 26325 26364 26990 27000 27040 27378 28080 28800 29160 29250 29952 30375 30420 31104 31200 31590 32000 32388 32400 32448 32955 33696 33800 34560 35087 35100 35152 36000 36450 36504 37440 37908 38025 38880 39000 39546 40485 40500 40560 41067 41600 42120 42250 43184 43200 43264 43875 43940 44928 45630 46656 46800 47385 48000 48582 48600 48672 49920 50544 50700 51840 52000 52650 52728 53980 54000 54080 54756 54925 56160 57600 58320 58500 59319 60750 60840 62208 62400 63180 63375 64776 64800 64896 65910 67392 67475 67600 68445 70174 70200 70304 72000 72873 72900 73008 74880 75816 76050 77760 78000 78975 79092 80970 81000 81120 82134 83200 84240 84500 86368 86400 87750 87880 89856 91125 91260 93312 93600 94770 96000 97164 97200 97344 98865 101088 101400 103680 104000 105261 105300 105456 107960 108000 108160 109512 109850 112320 114075 116640 117000 118638 121455 121500 121680 123201 124800 126360 126750 129552 129600 129792 131625 131820 134784 134950 135200 136890 140348 140400 140608 144000 145746 145800 146016 149760 151632 152100 155520 156000 157950 158184 161940 162000 162240 164268 164775 168480 169000 172736 172800 175435 175500 175760 177957 182250 182520 186624 187200 189540 190125 194328 194400 194688 197730 202176 202425 202800 205335 208000 210522 210600 210912 215920 216000 216320 218619 219024 219700 224640 228150 233280 234000 236925 237276 242910 243000 243360 246402 249600 252720 253500 259104 259200 263250 263640 269568 269900 270400 273780 274625 280696 280800 281216 288000 291492 291600 292032 296595 303264 304200 311040 312000 315783 315900 316368 323880 324000 324480 328536 329550 336960 337375 338000 342225 345472 350870 351000 351520 355914 364365 364500 365040 374400 379080 380250 388656 388800 389376 394875 395460 404352 404850 405600 410670 416000 421044 421200 421824 431840 432000 437238 438048 439400 449280 456131 456300 466560 468000 473850 474552 485820 486000 486720 492804 494325 505440 507000 518208 518400 526305 526500 527280 533871 539800 540800 547560 549250 561392 561600 562432 570375 582984 583200 584064 593190 606528 607275 608400 616005 624000 631566 631800 632736 647760 648000 648960 655857 657072 659100 673920 674750 676000 684450 690944 701740 702000 703040 711828 728730 729000 730080 748800 758160 760500 777312 777600 789750 790920 808704 809700 811200 821340 823875 842088 842400 843648 863680 864000 874476 876096 877175 878800 889785 912262 912600 933120 936000 947349 947700 949104 971640 972000 973440 985608 988650 1010880 1012125 1014000 1026675 1036416 1052610 1053000 1054560 1067742 1079600 1081600 1093095 1095120 1098500 1122784 1123200 1140750 1165968 1166400 1168128 1184625 1186380 1213056 1214550 1216800 1232010 1248000 1263132 1263600 1265472 1295520 1296000 1311714 1314144 1318200 1347840 1349500 1352000 1368393 1368900 1403480 1404000 1406080 1423656 1457460 1458000 1460160 1482975 1516320 1521000 1554624 1555200 1578915 1579500 1581840 1601613 1619400 1622400 1642680 1647750 1684176 1684800 1687296 1711125 1727360 1748952 1752192 1754350 1757600 1779570 1821825 1824524 1825200 1872000 1894698 1895400 1898208 1943280 1944000 1946880 1967571 1971216 1977300 2021760 2024250 2028000 2053350 2072832 2105220 2106000 2109120 2135484 2159200 2186190 2190240 2197000 2245568 2246400 2280655 2281500 2331936 2332800 2369250 2372760 2426112 2429100 2433600 2464020 2471625 2526264 2527200 2530944 2591040 2592000 2623428 2628288 2631525 2636400 2669355 2699000 2704000 2736786 2737800 2806960 2808000 2812160 2842047 2847312 2914920 2916000 2920320 2965950 3032640 3036375 3042000 3080025 3109248 3157830 3159000 3163680 3203226 3238800 3244800 3279285 3285360 3295500 3368352 3369600 3422250 3454720 3497904 3504384 3508700 3515200 3559140 3643650 3649048 3650400 3744000 3789396 3790800 3796416 3886560 3888000 3935142 3942432 3954600 4043520 4048500 4056000 4105179 4106700 4210440 4212000 4218240 4270968 4318400 4372380 4380480 4385875 4394000 4448925 4491136 4561310 4563000 4663872 4665600 4736745 4738500 4745520 4858200 4867200 4928040 4943250 5052528 5054400 5061888 5133375 5182080 5246856 5256576 5263050 5272800 5338710 5398000 5408000 5465475 5473572 5475600 5613920 5616000 5684094 5694624 5829840 5832000 5840640 5929703 5931900 6065280 6072750 6084000 6160050 6218496 6315660 6318000 6327360 6406452 6477600 6558570 6570720 6591000 6736704 6739200 6841965 6844500 6995808 7017400 7030400 7118280 7287300 7298096 7300800 7414875 7578792 7581600 7592832 7773120 7776000 7870284 7884864 7894575 7909200 8008065 8097000 8112000 8210358 8213400 8420880 8424000 8436480 8526141 8541936 8636800 8744760 8760960 8771750 8788000 8897850 8982272 9109125 9122620 9126000 9327744 9473490 9477000 9491040 9716400 9734400 9837855 9856080 9886500 10105056 10108800 10266750 10364160 10493712 10513152 10526100 10545600 10677420 10796000 10930950 10947144 10951200 11227840 11232000 11368188 11389248 11403275 11659680 11664000 11859406 11863800 12130560 12145500 12168000 12315537 12320100 12631320 12636000 12654720 12812904 12955200 13117140 13141440 13157625 13182000 13346775 13473408 13683930 13689000 13991616 14034800 14060800 14210235 14236560 14574600 14596192 14601600 14829750 15157584 15163200 15185664 15400125 15546240 15740568 15769728 15789150 15818400 16016130 16194000 16224000 16396425 16420716 16426800 16841760 16848000 17052282 17083872 17273600 17489520 17521920 17543500 17576000 17789109 17795700 18218250 18245240 18252000 18655488 18946980 18954000 18982080 19432800 19675710 19712160 19773000 20210112 20217600 20525895 20533500 20987424 21052200 21091200 21354840 21592000 21861900 21894288 21902400 22244625 22455680 22736376 22778496 22806550 23319360 23328000 23683725 23718812 23727600 24291000 24336000 24631074 24640200 25262640 25272000 25309440 25578423 25625808 25910400 26234280 26282880 26315250 26364000 26693550 26946816 27327375 27367860 27378000 27983232 28069600 28420470 28473120 29149200 29192384 29203200 29648515 29659500 30315168 30326400 30800250 31092480 31481136 31539456 31578300 31636800 32032260 32388000 32792850 32841432 32853600 33683520 33696000 34104564 34167744 34209825 34979040 35087000 35152000 35578218 35591400 36436500 36490480 36504000 36946611 37893960 37908000 37964160 38865600 39351420 39424320 39472875 39546000 40040325 40420224 41051790 41067000 41974848 42104400 42182400 42630705 42709680 43184000 43723800 43788576 43804800 44489250 44911360 45472752 45556992 45613100 46638720 47367450 47437624 47455200 48582000 48672000 49189275 49262148 49280400 50525280 50544000 51156846 51251616 51820800 52468560 52565760 52630500 52728000 53367327 53387100 54654750 54735720 54756000 55966464 56139200 56840940 56946240 57016375 58298400 58384768 59297030 59319000 60630336 60652800 61577685 61600500 62962272 63156600 63273600 64064520 64776000 65585700 65682864 65707200 66733875 67367040 68209128 68335488 68419650 69958080 70174000 70304000 71051175 71156436 71182800 72873000 72980960 73008000 73893222 75787920 75816000 75928320 77731200 78702840 78848640 78945750 79092000 80080650 80840448 81982125 82103580 82134000 83949696 84208800 85261410 85419360 86368000 87447600 87577152 87609600 88945545 88978500 90945504 91226200 93277440 94734900 94875248 94910400 97164000 98378550 98524296 98560800 101050560 101088000 102313692 102503232 102629475 104937120 105261000 105456000 106734654 106774200 109309500 109471440 109512000 110839833 112278400 113681880 113892480 114032750 116596800 116769536 118418625 118594060 118638000 121260672 123155370 123201000 125924544 126313200 126547200 127892115 128129040 129552000 131171400 131365728 131414400 133467750 134734080 136418256 136670976 136839300 139916160 140348000 142102350 142312872 142365600 145746000 145961920 146016000 147786444 148242575 151575840 151632000 155462400 157405680 157697280 157891500 158184000 160101981 160161300 163964250 164207160 164268000 167899392 168417600 170522820 170838720 171049125 174895200 175154304 177891090 177957000 181891008 182452400 184733055 189469800 189750496 189820800 194328000 196757100 197048592 197121600 200201625 202101120 204627384 205006464 205258950 209874240 210522000 210912000 213153525 213469308 213548400 218619000 218942880 219024000 221679666 224556800 227363760 227784960 228065500 233193600 236837250 237188120 237276000 242521344 245946375 246310740 246402000 251849088 252626400 255784230 256258080 259104000 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655857000 656828640 657072000 665038998 673670400 682091280 683354880 684196500 699580800 710511750 711564360 711828000 727564032 729809600 738932220 741212875 757879200 759001984 777312000 787028400 788194368 788486400 800509905 800806500 818509536 821035800 839496960 842088000 852614100 853877232 854193600 874476000 875771520 886718664 889455450 909455040 912262000 923665275 947349000 948752480 949104000 960611886 983785500 985242960 985608000 1010505600 1023136920 1025032320 1026294750 1049371200 1050925824 1065767625 1067346540 1067742000 1091346048 1094714400 1108398330 1122784000 1136818800 1138502976 1138924800 1165968000 1182291552 1185940600 1212606720 1231553700 1259245440 1263132000 1278921150 1280815848 1281290400 1311714000 1313657280 1314144000 1330077996 1334183175 1364182560 1368393000 1399161600 1421023500 1423128720 1423656000 1440917829 1459619200 1477864440 1482425750 1515758400 1518003968 1539442125 1574056800 1576388736 1601019810 1601613000 1637019072 1642071600 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4378857600 4433593320 4447277250 4547275200 4554011904 4618326375 4729166208 4743762400 4803059430 4926214800 5052528000 5115684600 5123263392 5125161600 5246856000 5254629120 5320311984 5336732700 5456730240 5473572000 5541991650 5684094000 5692514880 5694624000 5763671316 5911457760 5929703000 6063033600 6157768500 6296227200 6394605750 6404079240 6406452000 6548076288 6568286400 6650389980 6670915875 6820912800 6831017856 6995808000 7093749312 7115643600 7204589145 7298096000 7389322200 7578792000 7590019840 7684895088 7870284000 7881943680 8005099050 8185095360 8210358000 8312987475 8526141000 8538772320 8541936000 8645506974 8757715200 8867186640 8894554500 9094550400 9236652750 9458332416 9487524800 9606118860 9852429600 10105056000 10231369200 10246526784 10250323200 10493712000 10640623968 10673465400 10913460480 10947144000 11083983300 11368188000 11385029760 11527342632 11822915520 11859406000 12007648575 12315537000 12592454400 12789211500 12808158480 12812904000 13136572800 13300779960 13341831750 13641825600 13662035712 13854979125 14187498624 14231287200 14409178290 14596192000 14778644400 15157584000 15369790176 15740568000 15763887360 16010198100 16370190720 16420716000 16625974950 17052282000 17077544640 17083872000 17291013948 17734373280 17789109000 18189100800 18473305500 18975049600 19212237720 19704859200 20012747625 20462738400 20493053568 20987424000 21281247936 21346930800 21613767435 21894288000 22167966600 22736376000 22770059520 23054685264 23645831040 23718812000 24015297150 24631074000 25578423000 25616316960 25625808000 26273145600 26601559920 26683663500 27283651200 27709958250 28374997248 28462574400 28818356580 29557288800 30315168000 30739580352 31481136000 32020396200 32740381440 32841432000 33251949900 34104564000 34155089280 34582027896 35468746560 35578218000 36022945725 36946611000 37950099200 38424475440 39409718400 40025495250 40925476800 40986107136 41564937375 42562495872 42693861600 43227534870 43788576000 44335933200 45472752000 46109370528 47291662080 47437624000 48030594300 49262148000 51156846000 51232633920 51251616000 53203119840 53367327000 54567302400 55419916500 56925148800 57636713160 59114577600 60038242875 61479160704 62962272000 64040792400 65682864000 66503899800 68209128000 68310178560 69164055792 70937493120 71156436000 72045891450 73893222000 76848950880 78819436800 80050990500 81850953600 83129874750 85124991744 85387723200 86455069740 88671866400 90945504000 92218741056 94875248000 96061188600 98524296000 102313692000 102465267840 106406239680 106734654000 108068837175 110839833000 113850297600 115273426320 118229155200 120076485750 122958321408 128081584800 131365728000 133007799600 136418256000 138328111584 141874986240 142312872000 144091782900 147786444000 153697901760 160101981000 163701907200 166259749500 170775446400 172910139480 177343732800 180114728625 184437482112 189750496000 192122377200 197048592000 204627384000 204930535680 212812479360 213469308000 216137674350 221679666000 230546852640 236458310400 240152971500 256163169600 266015599200 272836512000 276656223168 284625744000 288183565800 295572888000 307395803520 320203962000 332519499000 341550892800 345820278960 354687465600 360229457250 368874964224 384244754400 394097184000 409254768000 425624958720 426938616000 432275348700 443359332000 461093705280 480305943000 512326339200 532031198400 540344185875 553312446336 569251488000 576367131600 591145776000 614791607040 640407924000 665038998000 691640557920 709374931200 720458914500 768489508800 818509536000 853877232000 864550697400 886718664000 922187410560 960611886000 1024652678400 1064062396800 1080688371750 1106624892672 1152734263200 1182291552000 1280815848000 1330077996000 1383281115840 1440917829000 1536979017600 1707754464000 1729101394800 1773437328000 1844374821120 1921223772000 2128124793600 2161376743500 2305468526400 2561631696000 2660155992000 2766562231680 2881835658000 3073958035200 3458202789600 3546874656000 3842447544000 4322753487000 4610937052800 5123263392000 5320311984000 5533124463360 5763671316000 6916405579200 7684895088000 8645506974000 9221874105600 10640623968000 11527342632000 13832811158400 15369790176000 17291013948000 23054685264000 27665622316800 34582027896000 46109370528000 69164055792000 138328111584000
- Sum of all divisors σ(n): 559894732488000
- Sum of proper divisors (its aliquot sum) s(n): 421566620904000
- 138328111584000 is an abundant number, because the sum of its proper divisors (421566620904000) is greater than itself. Its abundance is 283238509320000
Bases of 138328111584000
- Binary: 111110111001111000001011111010000010011000000002
- Hexadecimal: 0x7DCF05F41300
- Base-36: 1D17224000
Squares and roots of 138328111584000
- 138328111584000 squared (1383281115840002) is 19134666454395554989056000000
- 138328111584000 cubed (1383281115840003) is 2646862276426249977799746266824704000000000
-
The
square root of 138328111584000 is 11761297.1896810769 -
The
cube root of 138328111584000 is 51717.4157977987
Scales and comparisons
How big is 138328111584000?- 138,328,111,584,000 seconds is equal to 4,398,406 years, 3 weeks, 5 days.
-
To count from 1 to 138,328,111,584,000 would take you about ten million, nine hundred ninety-six thousand and fifteen 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 138328111584000 cubic inches would be around 4309.8 feet tall.
Recreational maths with 138328111584000
- 138328111584000 backwards is 000485111823831
- 138328111584000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138328111584000's digits is 45
- More coming soon!
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"Number 138328111584000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 May 2024.
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Numbermatics. (2024). Number 138328111584000 - Facts about the integer. Retrieved 18 May 2024, from https://numbermatics.com/n/138328111584000/
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The information we have on file for 138328111584000 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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