138510042112000
138,510,042,112,000 is an even composite number composed of six prime numbers multiplied together.
138510042112000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138510042112000:
213 × 53 × 132 × 17 × 232 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 17 × 23 × 23 × 89)See below for interesting mathematical facts about the number 138510042112000 from the Numbermatics database.
Names of 138510042112000
- Cardinal: 138510042112000 can be written as One hundred thirty-eight trillion, five hundred ten billion, forty-two million, one hundred twelve thousand.
Scientific notation
- Scientific notation: 1.38510042112 × 1014
Factors of 138510042112000
Divisors of 138510042112000
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 23 25 26 32 34 40 46 50 52 64 65 68 80 85 89 92 100 104 115 125 128 130 136 160 169 170 178 184 200 208 221 230 250 256 260 272 299 320 325 338 340 356 368 391 400 416 425 442 445 460 500 512 520 529 544 575 598 640 650 676 680 712 736 782 800 832 845 850 884 890 920 1000 1024 1040 1058 1088 1105 1150 1157 1196 1280 1300 1352 1360 1424 1472 1495 1513 1564 1600 1625 1664 1690 1700 1768 1780 1840 1955 2000 2047 2048 2080 2116 2125 2176 2210 2225 2300 2314 2392 2560 2600 2645 2704 2720 2848 2873 2875 2944 2990 3026 3128 3200 3250 3328 3380 3400 3536 3560 3680 3887 3910 4000 4094 4096 4160 4225 4232 4250 4352 4420 4450 4600 4628 4784 5083 5120 5200 5290 5408 5440 5525 5696 5746 5750 5785 5888 5980 6052 6256 6400 6500 6656 6760 6800 6877 7072 7120 7360 7475 7565 7774 7820 8000 8188 8192 8320 8450 8464 8500 8704 8840 8900 8993 9200 9256 9568 9775 10166 10235 10240 10400 10580 10816 10880 11050 11125 11392 11492 11500 11570 11776 11960 12104 12512 12800 13000 13225 13312 13520 13600 13754 14144 14240 14365 14720 14950 15041 15130 15548 15640 16000 16376 16640 16900 16928 17000 17408 17680 17800 17986 18400 18512 19136 19435 19550 19669 20332 20470 20480 20800 21125 21160 21632 21760 22100 22250 22784 22984 23000 23140 23552 23920 24208 25024 25415 25600 26000 26450 26611 26624 27040 27200 27508 27625 28288 28480 28730 28925 29440 29900 30082 30260 31096 31280 32000 32752 33280 33800 33856 34000 34385 34799 34816 35360 35600 35972 36800 37024 37375 37825 38272 38870 39100 39338 40664 40940 40960 41600 42250 42320 43264 43520 44200 44500 44965 45568 45968 46000 46280 47081 47104 47840 48416 48875 50048 50830 51175 51200 52000 52900 53222 53248 54080 54400 55016 55250 56576 56960 57460 57850 58880 59800 60164 60520 62192 62560 64000 65504 66079 66125 66560 67600 67712 68000 68770 69598 69632 70720 71200 71825 71944 73600 74048 74750 75205 75650 76544 77740 78200 78676 81328 81880 83200 84500 84640 86528 87040 88400 89000 89401 89930 91136 91936 92000 92560 94162 94208 95680 96832 97175 97750 98345 100096 101660 102350 102400 104000 105800 106444 106496 108160 108800 110032 110500 113152 113920 114920 115700 116909 117760 119600 120328 121040 124384 125120 127075 128000 131008 132158 132250 133055 133120 135200 135424 136000 137540 139196 139264 141440 142400 143650 143888 144625 147200 148096 149500 150410 151300 153088 155480 156400 157352 162656 163760 166400 169000 169280 171925 173056 173995 174080 176800 178000 178802 179860 182272 183872 184000 185120 188324 188416 189125 191360 193664 194350 195500 196690 200192 203320 204700 204800 208000 211600 212888 216320 217600 220064 221000 224825 226304 227840 229840 231400 233818 235405 235520 239200 240656 242080 248768 250240 254150 255697 255875 256000 262016 264316 264500 266110 266240 270400 270848 272000 275080 278392 282880 284800 287300 287776 289250 294400 296192 299000 300820 302600 306176 310960 312800 314704 325312 327520 330395 332800 338000 338560 343850 345943 346112 347990 348160 353600 356000 357604 359125 359720 364544 367744 368000 370240 376025 376648 378250 382720 387328 388700 391000 393380 400384 406640 409400 416000 423200 425776 432640 435200 440128 442000 447005 449650 452387 452608 455680 459680 462800 467636 470810 471040 478400 481312 484160 485875 491725 497536 500480 508300 511394 511750 512000 524032 528632 529000 532220 532480 540800 541696 544000 550160 556784 565760 569600 574600 575552 578500 584545 588800 592384 598000 601640 605200 612053 612352 621920 625600 629408 635375 650624 655040 660790 665275 665600 676000 677120 687700 691886 692224 695980 696320 707200 712000 715208 718250 719440 729088 735488 736000 740480 752050 753296 756500 765440 774656 777400 782000 786760 800377 800768 813280 818800 832000 846400 851552 859625 865280 869975 870400 880256 884000 894010 899300 904774 905216 911360 919360 925600 935272 941620 942080 956800 962624 968320 971750 983450 995072 1000960 1016600 1022788 1023500 1024000 1048064 1057264 1058000 1064440 1081600 1083392 1088000 1100320 1113568 1124125 1131520 1139200 1149200 1151104 1157000 1169090 1177025 1177600 1184768 1196000 1203280 1210400 1224106 1224704 1243840 1251200 1258816 1270750 1278485 1301248 1310080 1321580 1330550 1331200 1352000 1354240 1375400 1383772 1384448 1391960 1414400 1424000 1430416 1436500 1438880 1470976 1472000 1480960 1504100 1506592 1513000 1519817 1530880 1549312 1554800 1564000 1573520 1600754 1601536 1626560 1637600 1651975 1664000 1692800 1703104 1719250 1729715 1730560 1739950 1740800 1760512 1768000 1788020 1798600 1809548 1810432 1822720 1838720 1851200 1870544 1880125 1883240 1913600 1925248 1936640 1943500 1966900 1990144 2001920 2033200 2045576 2047000 2096128 2114528 2116000 2128880 2163200 2166784 2176000 2200640 2227136 2235025 2248250 2261935 2263040 2278400 2298400 2302208 2314000 2338180 2354050 2355200 2369536 2392000 2406560 2420800 2448212 2449408 2458625 2487680 2502400 2517632 2541500 2556970 2602496 2620160 2643160 2661100 2662400 2704000 2708480 2750800 2767544 2783920 2828800 2848000 2860832 2873000 2877760 2922725 2941952 2944000 2961920 3008200 3013184 3026000 3039634 3060265 3061760 3098624 3109600 3128000 3147040 3201508 3203072 3253120 3275200 3303950 3326375 3328000 3385600 3406208 3438500 3459430 3461120 3479900 3481600 3521024 3536000 3576040 3597200 3619096 3645440 3677440 3702400 3741088 3760250 3766480 3827200 3850496 3873280 3887000 3933800 3980288 4001885 4003840 4066400 4091152 4094000 4192256 4229056 4232000 4257760 4326400 4333568 4349875 4352000 4401280 4454272 4470050 4496500 4523870 4526080 4556800 4596800 4604416 4628000 4676360 4708100 4710400 4739072 4784000 4813120 4841600 4896424 4917250 4975360 5004800 5035264 5083000 5113940 5204992 5240320 5286320 5322200 5408000 5416960 5501600 5535088 5567840 5657600 5696000 5721664 5746000 5755520 5845450 5881031 5883904 5885125 5888000 5923840 6016400 6026368 6052000 6079268 6120530 6123520 6197248 6219200 6256000 6294080 6392425 6403016 6506240 6550400 6607900 6652750 6656000 6771200 6812416 6877000 6918860 6922240 6959800 7042048 7072000 7152080 7194400 7238192 7354880 7404800 7482176 7520500 7532960 7599085 7654400 7700992 7746560 7774000 7867600 7956689 7960576 8003770 8007680 8132800 8182304 8188000 8259875 8384512 8458112 8464000 8515520 8648575 8652800 8699750 8704000 8802560 8908544 8940100 8993000 9047740 9052160 9113600 9193600 9208832 9256000 9352720 9416200 9478144 9568000 9626240 9683200 9792848 9834500 9950720 10009600 10070528 10166000 10227880 10404901 10409984 10480640 10572640 10644400 10816000 10833920 11003200 11070176 11135680 11175125 11309675 11315200 11392000 11443328 11492000 11511040 11690900 11762062 11767808 11770250 11776000 11847680 12032800 12052736 12104000 12158536 12241060 12247040 12394496 12438400 12512000 12588160 12784850 12806032 13012480 13100800 13215800 13305500 13312000 13542400 13624832 13754000 13837720 13919600 14084096 14144000 14304160 14388800 14476384 14613625 14709760 14809600 14964352 15041000 15065920 15198170 15301325 15308800 15401984 15493120 15548000 15735200 15913378 15921152 16007540 16015360 16265600 16364608 16376000 16519750 16769024 16916224 16928000 17031040 17297150 17305600 17399500 17408000 17605120 17817088 17880200 17986000 18095480 18227200 18387200 18417664 18512000 18705440 18832400 19136000 19252480 19366400 19585696 19669000 19901440 20009425 20019200 20141056 20332000 20455760 20809802 20819968 20961280 21145280 21288800 21632000 21667840 22006400 22140352 22271360 22350250 22619350 22630400 22784000 22886656 22984000 23022080 23381800 23524124 23535616 23540500 23552000 23695360 24065600 24105472 24208000 24317072 24482120 24876800 25024000 25176320 25569700 25612064 26024960 26201600 26431600 26611000 27084800 27249664 27508000 27675440 27839200 28168192 28288000 28608320 28777600 28952768 29227250 29405155 29419520 29619200 29928704 30082000 30131840 30396340 30602650 30617600 30803968 30986240 31096000 31470400 31826756 31842304 31962125 32015080 32531200 32729216 32752000 33039500 33832448 33856000 34062080 34594300 34611200 34799000 35210240 35634176 35760400 35972000 36190960 36774400 36835328 37024000 37410880 37664800 37995425 38272000 38504960 38732800 39171392 39338000 39783445 39802880 40018850 40038400 40282112 40664000 40911520 41619604 41639936 41922560 42290560 42577600 43242875 43264000 44012800 44280704 44542720 44700500 45238700 45260800 45568000 45773312 45968000 46044160 46763600 47048248 47081000 47390720 48131200 48210944 48416000 48634144 48964240 49753600 50048000 50352640 51139400 51224128 52024505 52049920 52403200 52863200 53222000 54169600 54499328 55016000 55350880 55678400 56336384 56548375 56576000 57216640 57555200 57905536 58454500 58810310 58839040 59238400 59857408 60164000 60263680 60792680 61205300 61235200 61607936 61972480 62192000 62940800 63653512 63924250 64030160 65062400 65458432 65504000 66079000 67664896 67712000 68124160 69188600 69598000 70420480 71268352 71520800 71944000 72381920 73548800 73670656 74048000 74821760 75329600 75990850 76506625 76544000 77009920 77465600 78342784 78676000 79566890 79605760 80037700 80076800 80564224 81328000 81823040 83239208 83845120 84581120 85155200 86485750 86528000 88025600 88561408 89085440 89401000 90477400 91136000 91546624 91936000 92088320 93527200 94096496 94162000 96262400 96421888 96832000 97268288 97928480 99507200 100047125 100096000 100705280 102278800 102448256 104049010 104099840 104806400 105726400 106444000 108339200 108998656 110032000 110701760 111356800 113096750 113152000 114433280 115110400 115811072 116909000 117620620 117678080 118476800 119714816 120328000 120527360 121585360 122410600 123215872 124384000 125881600 127307024 127848500 128060320 130124800 130916864 131008000 132158000 135263713 135329792 135424000 136248320 138377200 139196000 140840960 142536704 143041600 143888000 144763840 147025775 147097600 148096000 149643520 150659200 151981700 153013250 153088000 154019840 154931200 156685568 157352000 159133780 159211520 160075400 161128448 162656000 163646080 166478416 169162240 170310400 172971500 173056000 176051200 177122816 178170880 178802000 180954800 183093248 183872000 184176640 187054400 188192992 188324000 189977125 192524800 192843776 193664000 194536576 195856960 198917225 199014400 200094250 200192000 201410560 204557600 204896512 208098020 208199680 209612800 211452800 212888000 217997312 220064000 221403520 222713600 226193500 226304000 228866560 230220800 231622144 233818000 235241240 236953600 239429632 240656000 241054720 243170720 244821200 248768000 251763200 254614048 255697000 256120640 260122525 260249600 261833728 262016000 264316000 270527426 270659584 270848000 272496640 276754400 278392000 281681920 285073408 286083200 287776000 289527680 294051550 294195200 296192000 299287040 301318400 303963400 306026500 306176000 308039680 309862400 313371136 314704000 318267560 320150800 325312000 327292160 332956832 338324480 340620800 345943000 352102400 354245632 356341760 357604000 361909600 366186496 367744000 368353280 374108800 376385984 376648000 379954250 385049600 385687552 387328000 389073152 391713920 397834450 398028800 400188500 400384000 402821120 409115200 409793024 416196040 419225600 422905600 425776000 440128000 442807040 445427200 452387000 457733120 460441600 463244288 467636000 470482480 478859264 481312000 482109440 486341440 489642400 497536000 503526400 509228096 511394000 512241280 520245050 520499200 523667456 524032000 528632000 541054852 541319168 541696000 544993280 553508800 556784000 572166400 575552000 579055360 588103100 588390400 592384000 598574080 602636800 607926800 612053000 616079360 626742272 629408000 636535120 640301600 650624000 654584320 665913664 676318565 676648960 681241600 691886000 704204800 708491264 712683520 715208000 723819200 732372992 735128875 735488000 748217600 752771968 753296000 759908500 770099200 774656000 778146304 783427840 795668900 796057600 800377000 805642240 818230400 819586048 832392080 845811200 851552000 880256000 885614080 890854400 904774000 915466240 920883200 926488576 935272000 940964960 957718528 962624000 964218880 972682880 979284800 994586125 995072000 1007052800 1018456192 1022788000 1024482560 1040490100 1040998400 1047334912 1048064000 1057264000 1082109704 1089986560 1107017600 1113568000 1144332800 1151104000 1158110720 1176206200 1184768000 1197148160 1205273600 1215853600 1224106000 1253484544 1258816000 1273070240 1280603200 1300612625 1301248000 1309168640 1331827328 1352637130 1353297920 1362483200 1383772000 1408409600 1416982528 1425367040 1430416000 1447638400 1470257750 1470976000 1496435200 1505543936 1506592000 1519817000 1540198400 1549312000 1556292608 1566855680 1591337800 1600754000 1636460800 1639172096 1664784160 1691622400 1703104000 1760512000 1771228160 1781708800 1809548000 1830932480 1841766400 1852977152 1870544000 1881929920 1925248000 1928437760 1945365760 1958569600 1989172250 1990144000 2014105600 2036912384 2045576000 2048965120 2080980200 2094669824 2096128000 2114528000 2164219408 2214035200 2227136000 2288665600 2302208000 2316221440 2352412400 2394296320 2410547200 2431707200 2448212000 2506969088 2517632000 2546140480 2561206400 2601225250 2602496000 2618337280 2663654656 2705274260 2706595840 2724966400 2767544000 2833965056 2860832000 2895276800 2940515500 2941952000 2992870400 3011087872 3013184000 3039634000 3080396800 3112585216 3133711360 3182675600 3201508000 3272921600 3278344192 3329568320 3381592825 3383244800 3406208000 3521024000 3542456320 3563417600 3619096000 3661864960 3705954304 3741088000 3763859840 3850496000 3890731520 3917139200 3978344500 3980288000 4028211200 4073824768 4091152000 4097930240 4161960400 4229056000 4328438816 4428070400 4454272000 4577331200 4604416000 4632442880 4704824800 4788592640 4821094400 4863414400 4896424000 5013938176 5035264000 5092280960 5122412800 5202450500 5204992000 5236674560 5327309312 5410548520 5449932800 5535088000 5721664000 5790553600 5881031000 5985740800 6022175744 6026368000 6079268000 6225170432 6267422720 6365351200 6403016000 6545843200 6556688384 6659136640 6763185650 6766489600 6812416000 7042048000 7084912640 7126835200 7238192000 7482176000 7527719680 7700992000 7781463040 7834278400 7956689000 8147649536 8182304000 8195860480 8323920800 8458112000 8656877632 8856140800 8908544000 9154662400 9208832000 9264885760 9409649600 9642188800 9726828800 9792848000 10070528000 10184561920 10244825600 10404901000 10473349120 10654618624 10821097040 11070176000 11443328000 11581107200 11762062000 11971481600 12044351488 12052736000 12158536000 12450340864 12534845440 12730702400 12806032000 13091686400 13318273280 13526371300 13532979200 13624832000 14169825280 14476384000 14964352000 15055439360 15401984000 15562926080 15668556800 15913378000 16295299072 16364608000 16391720960 16647841600 16907964125 16916224000 17313755264 17712281600 17817088000 18309324800 18529771520 18819299200 19453657600 19585696000 20141056000 20369123840 20489651200 20809802000 21309237248 21642194080 22140352000 22886656000 23162214400 23524124000 23942963200 24088702976 24105472000 24317072000 25069690880 25461404800 25612064000 26183372800 26636546560 27052742600 27249664000 28952768000 29928704000 30110878720 31125852160 31337113600 31826756000 32590598144 32729216000 32783441920 33295683200 33815928250 33832448000 34627510528 35424563200 35634176000 37638598400 38907315200 39171392000 40738247680 40979302400 41619604000 42618474496 43284388160 44280704000 45773312000 46324428800 47048248000 48177405952 48210944000 48634144000 50922809600 51224128000 52366745600 53273093120 54105485200 57905536000 59857408000 60221757440 62251704320 62674227200 63653512000 65181196288 65458432000 66591366400 67631856500 67664896000 69255021056 70849126400 75277196800 77814630400 78342784000 81476495360 81958604800 83239208000 85236948992 86568776320 88561408000 91546624000 92648857600 94096496000 97268288000 101845619200 102448256000 106546186240 108210970400 115811072000 119714816000 120443514880 125348454400 127307024000 130916864000 133182732800 135263713000 138510042112 150554393600 155629260800 156685568000 162952990720 163917209600 166478416000 173137552640 177122816000 188192992000 194536576000 203691238400 204896512000 213092372480 216421940800 231622144000 240887029760 254614048000 261833728000 266365465600 270527426000 277020084224 301108787200 311258521600 313371136000 325905981440 332956832000 346275105280 354245632000 376385984000 389073152000 407382476800 409793024000 426184744960 432843881600 463244288000 509228096000 532730931200 541054852000 554040168448 602217574400 626742272000 665913664000 692550210560 752771968000 778146304000 814764953600 819586048000 865687763200 1018456192000 1065461862400 1082109704000 1108080336896 1204435148800 1331827328000 1385100421120 1505543936000 1556292608000 1629529907200 1731375526400 2036912384000 2130923724800 2164219408000 2663654656000 2770200842240 3011087872000 3462751052800 4073824768000 4328438816000 5327309312000 5540401684480 6022175744000 6925502105600 8147649536000 8656877632000 10654618624000 13851004211200 17313755264000 27702008422400 34627510528000 69255021056000 138510042112000
- Sum of all divisors σ(n): 418995409800240
- Sum of proper divisors (its aliquot sum) s(n): 280485367688240
- 138510042112000 is an abundant number, because the sum of its proper divisors (280485367688240) is greater than itself. Its abundance is 141975325576240
Bases of 138510042112000
- Binary: 111110111111001011000011101101110100000000000002
- Hexadecimal: 0x7DF961DBA000
- Base-36: 1D3IMUULTS
Squares and roots of 138510042112000
- 138510042112000 squared (1385100421120002) is 19185031765868013420544000000
- 138510042112000 cubed (1385100421120003) is 2657319557810436263113330605948928000000000
-
The
square root of 138510042112000 is 11769028.9366625317 -
The
cube root of 138510042112000 is 51740.0789541147
Scales and comparisons
How big is 138510042112000?- 138,510,042,112,000 seconds is equal to 4,404,190 years, 46 weeks, 5 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,510,042,112,000 would take you about eleven million, ten thousand, four hundred seventy-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 138510042112000 cubic inches would be around 4311.7 feet tall.
Recreational maths with 138510042112000
- 138510042112000 backwards is 000211240015831
- The number of decimal digits it has is: 15
- The sum of 138510042112000's digits is 28
- 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 138510042112000 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
APA style:
Numbermatics. (2024). Number 138510042112000 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/138510042112000/
Chicago style:
Numbermatics. 2024. "Number 138510042112000 - Facts about the integer". https://numbermatics.com/n/138510042112000/
The information we have on file for 138510042112000 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 138510042112000, math, Factors of 138510042112000, curriculum, school, college, exams, university, Prime factorization of 138510042112000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, five hundred ten billion, forty-two million, one hundred twelve thousand.