138112723144000
138,112,723,144,000 is an even composite number composed of six prime numbers multiplied together.
138112723144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 138112723144000:
26 × 53 × 112 × 173 × 113 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 17 × 17 × 17 × 113 × 257)See below for interesting mathematical facts about the number 138112723144000 from the Numbermatics database.
Names of 138112723144000
- Cardinal: 138112723144000 can be written as One hundred thirty-eight trillion, one hundred twelve billion, seven hundred twenty-three million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.38112723144 × 1014
Factors of 138112723144000
Divisors of 138112723144000
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 32 34 40 44 50 55 64 68 80 85 88 100 110 113 121 125 136 160 170 176 187 200 220 226 242 250 257 272 275 289 320 340 352 374 400 425 440 452 484 500 514 544 550 565 578 605 680 704 748 800 850 880 904 935 968 1000 1028 1088 1100 1130 1156 1210 1243 1285 1360 1375 1445 1496 1600 1700 1760 1808 1870 1921 1936 2000 2056 2057 2125 2200 2260 2312 2420 2486 2570 2720 2750 2825 2827 2890 2992 3025 3179 3400 3520 3616 3740 3842 3872 4000 4112 4114 4250 4369 4400 4520 4624 4675 4840 4913 4972 5140 5440 5500 5650 5654 5780 5984 6050 6215 6358 6425 6800 7225 7232 7480 7684 7744 8000 8224 8228 8500 8738 8800 9040 9248 9350 9605 9680 9826 9944 10280 10285 11000 11300 11308 11560 11968 12100 12430 12716 12850 13600 13673 14125 14135 14450 14960 15125 15368 15895 16448 16456 17000 17476 17600 18080 18496 18700 19210 19360 19652 19888 20560 20570 21131 21845 22000 22600 22616 23120 23375 24200 24565 24860 25432 25700 27200 27346 28250 28270 28900 29041 29920 30250 30736 31075 31097 31790 32125 32657 32912 34000 34952 34969 36125 36160 37400 38420 38720 39304 39776 41120 41140 42262 43690 44000 45200 45232 46240 46750 48025 48059 48400 49130 49720 50864 51400 51425 54043 54692 56500 56540 57800 58082 59840 60500 61472 62150 62194 63580 64250 65314 65824 68000 68365 69904 69938 70675 72250 74273 74800 76840 78608 79475 79552 82240 82280 84524 87380 88000 90400 90464 92480 93500 96050 96118 96800 98260 99440 101728 102800 102850 105655 108086 109225 109384 113000 113080 115600 116164 121000 122825 122944 124300 124388 127160 128500 130628 131648 136000 136730 139808 139876 141350 144500 145205 148546 149600 153680 155375 155485 157216 158950 163285 164560 169048 174760 174845 180800 180928 187000 192100 192236 193600 196520 198880 203456 205600 205700 211310 216172 218450 218768 226000 226160 231200 232328 232441 240125 240295 242000 245650 248600 248776 254320 257000 257125 261256 270215 273460 279616 279752 282700 289000 290410 297092 299200 307360 310750 310970 314432 317900 319451 326570 329120 338096 341825 349520 349690 353375 359227 371365 374000 384200 384472 393040 397375 397760 411200 411400 422620 432344 436900 437536 452000 452320 462400 464656 464882 480250 480590 484000 491300 493697 497200 497552 508640 514000 514250 522512 528275 528649 540430 546125 546920 555169 559504 565400 578000 580820 594184 594473 614125 614720 621500 621940 635800 638902 653140 658240 676192 683650 699040 699380 706750 718454 726025 742730 748000 768400 768944 777425 786080 794750 816425 817003 822800 845240 864688 873800 874225 875072 904000 904640 929312 929764 960500 961180 968000 982600 987394 994400 995104 1017280 1028000 1028500 1045024 1056550 1057298 1080860 1092250 1093840 1110338 1119008 1130800 1156000 1161640 1162205 1188368 1188946 1201475 1228250 1243000 1243880 1262641 1271600 1277804 1306280 1351075 1352384 1367300 1398080 1398760 1413500 1436908 1452050 1485460 1496000 1536800 1537888 1554850 1572160 1589500 1597255 1632850 1634006 1645600 1690480 1709125 1729376 1747600 1748450 1796135 1856825 1858624 1859528 1921000 1922360 1965200 1974788 1988800 1990208 2056000 2057000 2090048 2113100 2114596 2161720 2184500 2187680 2220676 2238016 2261600 2312000 2323280 2324410 2376736 2377892 2402950 2456500 2468485 2486000 2487760 2525282 2543200 2555608 2612560 2641375 2643245 2702150 2734600 2775845 2797520 2827000 2873816 2904100 2970920 2972365 3073600 3075776 3109700 3179000 3194510 3265700 3268012 3291200 3380960 3418250 3458752 3495200 3496900 3513961 3592270 3630125 3713650 3719056 3842000 3844720 3887125 3930400 3949576 3951497 4082125 4085015 4114000 4226200 4229192 4323440 4369000 4371125 4375360 4441352 4523200 4646560 4648820 4753472 4755784 4805900 4913000 4936970 4972000 4975520 5050564 5086400 5111216 5225120 5282750 5286490 5404300 5430667 5469200 5551690 5595040 5654000 5747632 5808200 5811025 5941840 5944730 6007375 6106859 6219400 6313205 6358000 6389020 6531400 6536024 6755375 6761920 6836500 6990400 6993800 7027922 7184540 7260250 7427300 7438112 7684000 7689440 7774250 7860800 7899152 7902994 7986275 8164250 8170030 8228000 8392849 8452400 8458384 8646880 8738000 8742250 8882704 8980675 8987033 9284125 9293120 9297640 9511568 9611800 9826000 9873940 9944000 9951040 10101128 10222432 10450240 10565500 10572980 10808600 10861334 10938400 11103380 11190080 11308000 11495264 11616400 11622050 11883680 11889460 12014750 12213718 12342425 12438800 12626410 12716000 12778040 13062800 13072048 13216225 13510750 13673000 13879225 13889051 13987600 14055844 14369080 14520500 14854600 14861825 14876224 15368000 15378880 15548500 15798304 15805988 15972550 16328500 16340060 16456000 16785698 16904800 16916768 17293760 17476000 17484500 17569805 17765408 17961350 17974066 18568250 18595280 19023136 19223600 19652000 19747880 19757485 20202256 20425075 20444864 21131000 21145960 21617200 21722668 21876800 22206760 22616000 22990528 23232800 23244100 23767360 23778920 24029500 24427436 24684850 24877600 25252820 25432000 25556080 26125600 26144096 26432450 27021500 27153335 27346000 27758450 27778102 27975200 28111688 28738160 29041000 29055125 29709200 29723650 30534295 31097000 31566025 31596608 31611976 31945100 32657000 32680120 33571396 33809600 33833536 34952000 34969000 35139610 35530816 35922700 35948132 37136500 37190560 38046272 38447200 39304000 39495760 39514970 39931375 40404512 40850150 41964245 42262000 42291920 43234400 43445336 44413520 44903375 44935165 46465600 46488200 47557840 48059000 48854872 49369700 49755200 50505640 51112160 52251200 52288192 52864900 54043000 54306670 54692000 55516900 55556204 55950400 56223376 57476320 58082000 58110250 59418400 59447300 59737337 61068590 61712125 62194000 63132050 63223952 63890200 65314000 65360240 66081125 67142792 67175449 69396125 69445255 69938000 70279220 71845400 71896264 74273000 74309125 74381120 76894400 78991520 79029940 79862750 80809024 81700300 83928490 84524000 84583840 86468800 86890672 87849025 88827040 89806750 89870330 92321339 92976400 95115680 96118000 97709744 98739400 98787425 101011280 102125375 102224320 105729800 108086000 108613340 109384000 111033800 111112408 112446752 114952640 116164000 116220500 118836800 118894600 119474674 122137180 123424250 124388000 126264100 126447904 127780400 130628000 130720480 132162250 134285584 134350898 135766675 138792250 138890510 139876000 140558440 142678433 143690800 143792528 148546000 148618250 152671475 152779561 157830125 157983040 158059880 159725500 163400600 167856980 169048000 169167680 173781344 175698050 177654080 179613500 179740660 184642678 185952800 190231360 192236000 195419488 197478800 197574850 202022560 204250750 209821225 211459600 216172000 217226680 222067600 222224816 224675825 224893504 232328000 232441000 237789200 238949348 244274360 246848500 248776000 252528200 252895808 255560800 261256000 261440960 264324500 268571168 268701796 271533350 277584500 277781020 279752000 281116880 285356866 287381600 287585056 297092000 297236500 298686685 305342950 305559122 315660250 316119760 319451000 326801200 335713960 335877245 347226275 347562688 351396100 359227000 359481320 369285356 371905600 384472000 390838976 394957600 395149700 404045120 408501500 419642450 422919200 432344000 434453360 439245125 444135200 444449632 449351650 461606695 464882000 475578400 477898696 488548720 493697000 493937125 505056400 511121600 528649000 537142336 537403592 543066700 555169000 555562040 562233760 570713732 574763200 575170112 594184000 594473000 597373370 610685900 611118244 631320500 632239520 638902000 653602400 671427920 671754490 678833375 694452550 702792200 713392165 718454000 718962640 738570712 763357375 763897805 789915200 790299400 817003000 839284900 845838400 868906720 878490250 888270400 888899264 898703300 923213390 929764000 951156800 955797392 977097440 987394000 987874250 1010112800 1015534729 1049106125 1057298000 1074807184 1086133400 1110338000 1111124080 1123379125 1124467520 1141427464 1188946000 1194746740 1221371800 1222236488 1262641000 1264479040 1277804000 1307204800 1342855840 1343508980 1357666750 1388905100 1405584400 1426784330 1436908000 1437925280 1477141424 1493433425 1526714750 1527795610 1569462763 1580598800 1634006000 1678569800 1679386225 1736131375 1737813440 1756980500 1797406600 1846426780 1859528000 1911594784 1954194880 1974788000 1975748500 2020225600 2031069458 2098212250 2114596000 2149614368 2172266800 2220676000 2222248160 2246758250 2282854928 2308033475 2377892000 2389493480 2442743600 2444472976 2525282000 2555608000 2685711680 2687017960 2715333500 2777810200 2811168800 2853568660 2873816000 2875850560 2954282848 2986866850 3053429500 3055591220 3138925526 3161197600 3268012000 3357139600 3358772450 3472262750 3513961000 3566960825 3594813200 3692853560 3819489025 3823189568 3949576000 3951497000 4062138916 4196424500 4229192000 4299228736 4344533600 4441352000 4444496320 4493516500 4565709856 4616066950 4755784000 4778986960 4885487200 4888945952 5050564000 5077673645 5374035920 5430667000 5555620400 5622337600 5707137320 5908565696 5973733700 6106859000 6111182440 6277851052 6322395200 6536024000 6714279200 6717544900 6944525500 7027922000 7133921650 7189626400 7385707120 7467167125 7638978050 7847313815 7902994000 8124277832 8392849000 8396931125 8689067200 8987033000 9131419712 9232133900 9557973920 9770974400 9777891904 10101128000 10155347290 10748071840 10861334000 11111240800 11414274640 11540167375 11947467400 12213718000 12222364880 12555702104 13428558400 13435089800 13889051000 14055844000 14267843300 14379252800 14771414240 14934334250 15277956100 15694627630 15805988000 16248555664 16785698000 16793862250 17264090393 17834804125 17974066000 18464267800 19097445125 19115947840 20310694580 21496143680 21722668000 22222481600 22828549280 23080334750 23894934800 24427436000 24444729760 25111404208 25388368225 26870179600 27778102000 28111688000 28535686600 29542828480 29868668500 30555912200 31389255260 31611976000 32497111328 33571396000 33587724500 34528180786 35669608250 35948132000 36928535600 38194890250 39236569075 40621389160 43445336000 45657098560 46160669500 47789869600 48854872000 48889459520 50222808416 50776736450 53740359200 55556204000 57071373200 59737337000 61111824400 62778510520 64994222656 67142792000 67175449000 69056361572 71339216500 71896264000 73857071200 76389780500 78473138150 81242778320 86320451965 92321339000 95579739200 100445616832 101553472900 107480718400 111112408000 114142746400 119474674000 122223648800 125557021040 126941841125 134350898000 138112723144 142678433000 147714142400 152779561000 156946276300 162485556640 172640903930 184642678000 196182845375 203106945800 228285492800 238949348000 244447297600 251114042080 253883682250 268701796000 276225446288 285356866000 305559122000 313892552600 324971113280 345281807860 369285356000 392365690750 406213891600 431602259825 477898696000 502228084160 507767364500 537403592000 552450892576 570713732000 611118244000 627785105200 690563615720 738570712000 784731381500 812427783200 863204519650 1015534729000 1104901785152 1141427464000 1222236488000 1255570210400 1381127231440 1569462763000 1624855566400 1726409039300 2031069458000 2158011299125 2511140420800 2762254462880 3138925526000 3452818078600 4062138916000 4316022598250 5524508925760 6277851052000 6905636157200 8124277832000 8632045196500 12555702104000 13811272314400 17264090393000 27622544628800 34528180786000 69056361572000 138112723144000
- Sum of all divisors σ(n): 404552622277440
- Sum of proper divisors (its aliquot sum) s(n): 266439899133440
- 138112723144000 is an abundant number, because the sum of its proper divisors (266439899133440) is greater than itself. Its abundance is 128327175989440
Bases of 138112723144000
- Binary: 111110110011100110111111100110101001101010000002
- Hexadecimal: 0x7D9CDFCD4D40
- Base-36: 1CYG3XE81S
Squares and roots of 138112723144000
- 138112723144000 squared (1381127231440002) is 19075124294251193244736000000
- 138112723144000 cubed (1381127231440003) is 2634517360589303443401866203369984000000000
-
The
square root of 138112723144000 is 11752136.9607403743 -
The
cube root of 138112723144000 is 51690.5590728397
Scales and comparisons
How big is 138112723144000?- 138,112,723,144,000 seconds is equal to 4,391,557 years, 20 weeks, 5 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,112,723,144,000 would take you about ten million, nine hundred seventy-eight thousand, eight hundred ninety-three 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 138112723144000 cubic inches would be around 4307.5 feet tall.
Recreational maths with 138112723144000
- 138112723144000 backwards is 000441327211831
- The number of decimal digits it has is: 15
- The sum of 138112723144000's digits is 37
- 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 138112723144000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 138112723144000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138112723144000/
Chicago style:
Numbermatics. 2024. "Number 138112723144000 - Facts about the integer". https://numbermatics.com/n/138112723144000/
The information we have on file for 138112723144000 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 138112723144000, math, Factors of 138112723144000, curriculum, school, college, exams, university, Prime factorization of 138112723144000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred twelve billion, seven hundred twenty-three million, one hundred forty-four thousand.