138413231308800
138,413,231,308,800 is an even composite number composed of five prime numbers multiplied together.
138413231308800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ten divisors.
Prime factorization of 138413231308800:
218 × 34 × 52 × 7 × 1932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 193 × 193)See below for interesting mathematical facts about the number 138413231308800 from the Numbermatics database.
Names of 138413231308800
- Cardinal: 138413231308800 can be written as One hundred thirty-eight trillion, four hundred thirteen billion, two hundred thirty-one million, three hundred eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.384132313088 × 1014
Factors of 138413231308800
Divisors of 138413231308800
- Number of divisors d(n): 1710
-
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 96 100 105 108 112 120 126 128 135 140 144 150 160 162 168 175 180 189 192 193 200 210 216 224 225 240 252 256 270 280 288 300 315 320 324 336 350 360 378 384 386 400 405 420 432 448 450 480 504 512 525 540 560 567 576 579 600 630 640 648 672 675 700 720 756 768 772 800 810 840 864 896 900 945 960 965 1008 1024 1050 1080 1120 1134 1152 1158 1200 1260 1280 1296 1344 1350 1351 1400 1440 1512 1536 1544 1575 1600 1620 1680 1728 1737 1792 1800 1890 1920 1930 2016 2025 2048 2100 2160 2240 2268 2304 2316 2400 2520 2560 2592 2688 2700 2702 2800 2835 2880 2895 3024 3072 3088 3150 3200 3240 3360 3456 3474 3584 3600 3780 3840 3860 4032 4050 4053 4096 4200 4320 4480 4536 4608 4632 4725 4800 4825 5040 5120 5184 5211 5376 5400 5404 5600 5670 5760 5790 6048 6144 6176 6300 6400 6480 6720 6755 6912 6948 7168 7200 7560 7680 7720 8064 8100 8106 8192 8400 8640 8685 8960 9072 9216 9264 9450 9600 9650 10080 10240 10368 10422 10752 10800 10808 11200 11340 11520 11580 12096 12159 12288 12352 12600 12800 12960 13440 13510 13824 13896 14175 14336 14400 14475 15120 15360 15440 15633 16128 16200 16212 16384 16800 17280 17370 17920 18144 18432 18528 18900 19200 19300 20160 20265 20480 20736 20844 21504 21600 21616 22400 22680 23040 23160 24192 24318 24576 24704 25200 25600 25920 26055 26880 27020 27648 27792 28350 28672 28800 28950 30240 30720 30880 31266 32256 32400 32424 32768 33600 33775 34560 34740 35840 36288 36477 36864 37056 37249 37800 38400 38600 40320 40530 40960 41472 41688 43008 43200 43232 43425 44800 45360 46080 46320 48384 48636 49152 49408 50400 51200 51840 52110 53760 54040 55296 55584 56700 57344 57600 57900 60480 60795 61440 61760 62532 64512 64800 64848 65536 67200 67550 69120 69480 71680 72576 72954 73728 74112 74498 75600 76800 77200 78165 80640 81060 81920 82944 83376 86016 86400 86464 86850 89600 90720 92160 92640 96768 97272 98304 98816 100800 101325 102400 103680 104220 107520 108080 109431 110592 111168 111747 113400 114688 115200 115800 120960 121590 122880 123520 125064 129024 129600 129696 130275 131072 134400 135100 138240 138960 143360 145152 145908 147456 148224 148996 151200 153600 154400 156330 161280 162120 163840 165888 166752 172032 172800 172928 173700 179200 181440 182385 184320 185280 186245 193536 194544 196608 197632 201600 202650 204800 207360 208440 215040 216160 218862 221184 222336 223494 226800 229376 230400 231600 241920 243180 245760 247040 250128 258048 259200 259392 260550 260743 262144 268800 270200 276480 277920 286720 290304 291816 294912 296448 297992 302400 303975 307200 308800 312660 322560 324240 327680 331776 333504 335241 344064 345600 345856 347400 358400 362880 364770 368640 370560 372490 387072 389088 390825 393216 395264 403200 405300 409600 414720 416880 430080 432320 437724 442368 444672 446988 453600 458752 460800 463200 483840 486360 491520 494080 500256 516096 518400 518784 521100 521486 537600 540400 547155 552960 555840 558735 573440 580608 583632 589824 592896 595984 604800 607950 614400 617600 625320 645120 648480 655360 663552 667008 670482 688128 691200 691712 694800 716800 725760 729540 737280 741120 744980 774144 778176 781650 782229 786432 790528 806400 810600 819200 829440 833760 860160 864640 875448 884736 889344 893976 907200 911925 917504 921600 926400 931225 967680 972720 983040 988160 1000512 1005723 1032192 1036800 1037568 1042200 1042972 1075200 1080800 1094310 1105920 1111680 1117470 1146880 1161216 1167264 1179648 1185792 1191968 1209600 1215900 1228800 1235200 1250640 1290240 1296960 1303715 1310720 1327104 1334016 1340964 1376256 1382400 1383424 1389600 1433600 1451520 1459080 1474560 1482240 1489960 1548288 1556352 1563300 1564458 1581056 1612800 1621200 1638400 1658880 1667520 1676205 1720320 1729280 1750896 1769472 1778688 1787952 1814400 1823850 1835008 1843200 1852800 1862450 1935360 1945440 1966080 1976320 2001024 2011446 2064384 2073600 2075136 2084400 2085944 2150400 2161600 2188620 2211840 2223360 2234940 2293760 2322432 2334528 2346687 2359296 2371584 2383936 2419200 2431800 2457600 2470400 2501280 2580480 2593920 2607430 2654208 2668032 2681928 2735775 2752512 2764800 2766848 2779200 2793675 2867200 2903040 2918160 2949120 2964480 2979920 3017169 3096576 3112704 3126600 3128916 3162112 3225600 3242400 3276800 3317760 3335040 3352410 3440640 3458560 3501792 3538944 3557376 3575904 3628800 3647700 3686400 3705600 3724900 3870720 3890880 3911145 3932160 3952640 4002048 4022892 4128768 4147200 4150272 4168800 4171888 4300800 4323200 4377240 4423680 4446720 4469880 4587520 4644864 4669056 4693374 4743168 4767872 4838400 4863600 4915200 4940800 5002560 5028615 5160960 5187840 5214860 5308416 5336064 5363856 5471550 5505024 5529600 5533696 5558400 5587350 5734400 5806080 5836320 5898240 5928960 5959840 6034338 6193152 6225408 6253200 6257832 6324224 6451200 6484800 6518575 6553600 6635520 6670080 6704820 6881280 6917120 7003584 7040061 7077888 7114752 7151808 7257600 7295400 7372800 7411200 7449800 7741440 7781760 7822290 7905280 8004096 8045784 8257536 8294400 8300544 8337600 8343776 8381025 8601600 8646400 8754480 8847360 8893440 8939760 9175040 9289728 9338112 9386748 9486336 9535744 9676800 9727200 9830400 9881600 10005120 10057230 10321920 10375680 10429720 10616832 10672128 10727712 10943100 11059200 11067392 11116800 11174700 11468800 11612160 11672640 11733435 11796480 11857920 11919680 12068676 12386304 12450816 12506400 12515664 12648448 12902400 12969600 13037150 13271040 13340160 13409640 13762560 13834240 14007168 14080122 14229504 14303616 14515200 14590800 14745600 14822400 14899600 15085845 15482880 15563520 15644580 15810560 16008192 16091568 16515072 16588800 16601088 16675200 16687552 16762050 17203200 17292800 17508960 17694720 17786880 17879520 18579456 18676224 18773496 18972672 19071488 19353600 19454400 19555725 19660800 19763200 20010240 20114460 20643840 20751360 20859440 21120183 21233664 21344256 21455424 21886200 22118400 22134784 22233600 22349400 22937600 23224320 23345280 23466870 23715840 23839360 24137352 24772608 24901632 25012800 25031328 25143075 25296896 25804800 25939200 26074300 26542080 26680320 26819280 27525120 27668480 28014336 28160244 28459008 28607232 29030400 29181600 29491200 29644800 29799200 30171690 30965760 31127040 31289160 31621120 32016384 32183136 33177600 33202176 33350400 33375104 33524100 34406400 34585600 35017920 35200305 35389440 35573760 35759040 37158912 37352448 37546992 37945344 38142976 38707200 38908800 39111450 39526400 40020480 40228920 41287680 41502720 41718880 42240366 42688512 42910848 43772400 44236800 44269568 44467200 44698800 45875200 46448640 46690560 46933740 47431680 47678720 48274704 49545216 49803264 50025600 50062656 50286150 50593792 51609600 51878400 52148600 53084160 53360640 53638560 55336960 56028672 56320488 56918016 57214464 58060800 58363200 58667175 58982400 59289600 59598400 60343380 61931520 62254080 62578320 63242240 64032768 64366272 66355200 66404352 66700800 66750208 67048200 68812800 69171200 70035840 70400610 71147520 71518080 74317824 74704896 75093984 75429225 75890688 76285952 77414400 77817600 78222900 79052800 80040960 80457840 82575360 83005440 83437760 84480732 85377024 85821696 87544800 88473600 88539136 88934400 89397600 92897280 93381120 93867480 94863360 95357440 96549408 99606528 100051200 100125312 100572300 103219200 103756800 104297200 105600915 106168320 106721280 107277120 110673920 112057344 112640976 113836032 114428928 116121600 116726400 117334350 118579200 119196800 120686760 123863040 124508160 125156640 126484480 128065536 128732544 132710400 132808704 133401600 133500416 134096400 137625600 138342400 140071680 140801220 142295040 143036160 148635648 149409792 150187968 150858450 151781376 152571904 154828800 155635200 156445800 158105600 160081920 160915680 166010880 166875520 168961464 170754048 171643392 175089600 176001525 176947200 177078272 177868800 178795200 185794560 186762240 187734960 189726720 190714880 193098816 199213056 200102400 200250624 201144600 206438400 207513600 208594400 211201830 213442560 214554240 221347840 224114688 225281952 227672064 228857856 232243200 233452800 234668700 237158400 238393600 241373520 247726080 249016320 250313280 252968960 256131072 257465088 265420800 265617408 266803200 267000832 268192800 276684800 280143360 281602440 284590080 286072320 298819584 300375936 301716900 305143808 309657600 311270400 312891600 316211200 320163840 321831360 332021760 333751040 337922928 341508096 343286784 350179200 352003050 354156544 355737600 357590400 371589120 373524480 375469920 379453440 381429760 386197632 398426112 400204800 400501248 402289200 412876800 415027200 417188800 422403660 426885120 429108480 442695680 448229376 450563904 455344128 457715712 464486400 466905600 469337400 474316800 476787200 482747040 498032640 500626560 512262144 514930176 528004575 530841600 531234816 533606400 534001664 536385600 553369600 560286720 563204880 569180160 572144640 597639168 600751872 603433800 610287616 619315200 622540800 625783200 632422400 640327680 643662720 664043520 667502080 675845856 683016192 686573568 700358400 704006100 711475200 715180800 743178240 747048960 750939840 758906880 762859520 772395264 796852224 800409600 801002496 804578400 830054400 834377600 844807320 853770240 858216960 885391360 896458752 901127808 915431424 928972800 933811200 938674800 948633600 953574400 965494080 996065280 1001253120 1024524288 1029860352 1056009150 1062469632 1067212800 1068003328 1072771200 1106739200 1120573440 1126409760 1138360320 1144289280 1195278336 1201503744 1206867600 1220575232 1238630400 1245081600 1251566400 1264844800 1280655360 1287325440 1328087040 1335004160 1351691712 1366032384 1373147136 1400716800 1408012200 1422950400 1430361600 1494097920 1501879680 1525719040 1544790528 1593704448 1600819200 1602004992 1609156800 1660108800 1668755200 1689614640 1707540480 1716433920 1770782720 1792917504 1802255616 1830862848 1857945600 1867622400 1877349600 1897267200 1907148800 1930988160 1992130560 2002506240 2049048576 2059720704 2112018300 2134425600 2136006656 2145542400 2213478400 2241146880 2252819520 2276720640 2288578560 2390556672 2403007488 2413735200 2441150464 2490163200 2503132800 2561310720 2574650880 2656174080 2670008320 2703383424 2746294272 2801433600 2816024400 2845900800 2860723200 2988195840 3003759360 3051438080 3089581056 3187408896 3201638400 3204009984 3218313600 3320217600 3337510400 3379229280 3415080960 3432867840 3585835008 3604511232 3661725696 3715891200 3735244800 3754699200 3794534400 3814297600 3861976320 3984261120 4005012480 4098097152 4119441408 4224036600 4268851200 4272013312 4291084800 4426956800 4482293760 4505639040 4577157120 4781113344 4806014976 4827470400 4882300928 4980326400 5006265600 5122621440 5149301760 5312348160 5340016640 5406766848 5492588544 5602867200 5632048800 5691801600 5721446400 5976391680 6007518720 6102876160 6179162112 6403276800 6408019968 6436627200 6640435200 6675020800 6758458560 6830161920 6865735680 7171670016 7209022464 7323451392 7470489600 7509398400 7628595200 7723952640 7968522240 8010024960 8238882816 8448073200 8537702400 8544026624 8582169600 8853913600 8964587520 9011278080 9154314240 9562226688 9612029952 9654940800 9764601856 9960652800 10012531200 10245242880 10298603520 10680033280 10813533696 10985177088 11205734400 11264097600 11383603200 11442892800 11952783360 12015037440 12205752320 12358324224 12806553600 12816039936 12873254400 13280870400 13350041600 13516917120 13731471360 14343340032 14418044928 14646902784 14940979200 15018796800 15257190400 15447905280 15937044480 16020049920 16477765632 16896146400 17075404800 17088053248 17164339200 17929175040 18022556160 18308628480 19224059904 19309881600 19921305600 20025062400 20490485760 20597207040 21360066560 21627067392 21970354176 22411468800 22528195200 22885785600 23905566720 24030074880 24411504640 24716648448 25613107200 25632079872 25746508800 26561740800 26700083200 27033834240 27462942720 28686680064 28836089856 29293805568 29881958400 30037593600 30514380800 30895810560 32040099840 32955531264 33792292800 34150809600 34176106496 34328678400 35858350080 36045112320 36617256960 38448119808 38619763200 39842611200 40050124800 41194414080 42720133120 43254134784 43940708352 44822937600 45056390400 45771571200 47811133440 48060149760 48823009280 49433296896 51226214400 51264159744 51493017600 53400166400 54067668480 54925885440 57672179712 59763916800 60075187200 61028761600 61791621120 64080199680 65911062528 67584585600 68352212992 68657356800 71716700160 72090224640 73234513920 76896239616 77239526400 79685222400 80100249600 82388828160 85440266240 86508269568 87881416704 89645875200 90112780800 91543142400 96120299520 98866593792 102452428800 102528319488 102986035200 106800332800 108135336960 109851770880 115344359424 119527833600 120150374400 122057523200 123583242240 128160399360 131822125056 135169171200 137314713600 143433400320 144180449280 146469027840 153792479232 154479052800 160200499200 164777656320 170880532480 173016539136 179291750400 180225561600 183086284800 192240599040 197733187584 205056638976 205972070400 213600665600 216270673920 219703541760 230688718848 239055667200 240300748800 244115046400 247166484480 256320798720 263644250112 270338342400 274629427200 288360898560 307584958464 308958105600 320400998400 329555312640 341761064960 346033078272 358583500800 360451123200 366172569600 384481198080 395466375168 411944140800 427201331200 432541347840 439407083520 461377437696 480601497600 494332968960 512641597440 540676684800 549258854400 576721797120 615169916928 617916211200 640801996800 659110625280 692066156544 717167001600 720902246400 732345139200 768962396160 790932750336 823888281600 854402662400 865082695680 922754875392 961202995200 988665937920 1025283194880 1081353369600 1098517708800 1153443594240 1235832422400 1281603993600 1318221250560 1384132313088 1441804492800 1537924792320 1647776563200 1708805324800 1730165391360 1845509750784 1922405990400 1977331875840 2162706739200 2197035417600 2306887188480 2471664844800 2563207987200 2768264626176 2883608985600 3075849584640 3295553126400 3460330782720 3844811980800 3954663751680 4325413478400 4613774376960 4943329689600 5126415974400 5536529252352 5767217971200 6591106252800 6920661565440 7689623961600 8650826956800 9227548753920 9886659379200 11534435942400 13841323130880 15379247923200 17301653913600 19773318758400 23068871884800 27682646261760 34603307827200 46137743769600 69206615654400 138413231308800
- Sum of all divisors σ(n): 589083391255128
- Sum of proper divisors (its aliquot sum) s(n): 450670159946328
- 138413231308800 is an abundant number, because the sum of its proper divisors (450670159946328) is greater than itself. Its abundance is 312256928637528
Bases of 138413231308800
- Binary: 111110111100010110101110111110000000000000000002
- Hexadecimal: 0x7DE2D77C0000
- Base-36: 1D2A5S7400
Squares and roots of 138413231308800
- 138413231308800 squared (1384132313088002) is 19158222601343372560957440000
- 138413231308800 cubed (1384132313088003) is 2651751496385220275893697170712297472000000
-
The
square root of 138413231308800 is 11764915.2699371363 -
The
cube root of 138413231308800 is 51728.0216669515
Scales and comparisons
How big is 138413231308800?- 138,413,231,308,800 seconds is equal to 4,401,112 years, 32 weeks.
-
To count from 1 to 138,413,231,308,800 would take you about eleven million, two thousand, seven hundred eighty-one 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 138413231308800 cubic inches would be around 4310.7 feet tall.
Recreational maths with 138413231308800
- 138413231308800 backwards is 008803132314831
- 138413231308800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138413231308800's digits is 45
- 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 138413231308800 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 138413231308800 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/138413231308800/
Chicago style:
Numbermatics. 2024. "Number 138413231308800 - Facts about the integer". https://numbermatics.com/n/138413231308800/
The information we have on file for 138413231308800 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 138413231308800, math, Factors of 138413231308800, curriculum, school, college, exams, university, Prime factorization of 138413231308800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred thirteen billion, two hundred thirty-one million, three hundred eight thousand, eight hundred.