138807350528000
138,807,350,528,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138807350528000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
138807350528000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138807350528000:
211 × 53 × 72 × 11 × 892 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 11 × 89 × 89 × 127)See below for interesting mathematical facts about the number 138807350528000 from the Numbermatics database.
Names of 138807350528000
- Cardinal: 138807350528000 can be written as One hundred thirty-eight trillion, eight hundred seven billion, three hundred fifty million, five hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38807350528 × 1014
Factors of 138807350528000
Divisors of 138807350528000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 64 70 77 80 88 89 98 100 110 112 125 127 128 140 154 160 175 176 178 196 200 220 224 245 250 254 256 275 280 308 320 350 352 356 385 392 400 440 445 448 490 500 508 512 539 550 560 616 623 635 640 700 704 712 770 784 800 875 880 889 890 896 979 980 1000 1016 1024 1078 1100 1120 1225 1232 1246 1270 1280 1375 1397 1400 1408 1424 1540 1568 1600 1750 1760 1778 1780 1792 1925 1958 1960 2000 2032 2048 2156 2200 2225 2240 2450 2464 2492 2540 2560 2695 2750 2794 2800 2816 2848 3080 3115 3136 3175 3200 3500 3520 3556 3560 3584 3850 3916 3920 4000 4064 4312 4361 4400 4445 4450 4480 4895 4900 4928 4984 5080 5120 5390 5500 5588 5600 5632 5696 6125 6160 6223 6230 6272 6350 6400 6853 6985 7000 7040 7112 7120 7168 7700 7832 7840 7921 8000 8128 8624 8722 8800 8890 8900 8960 9625 9779 9790 9800 9856 9968 10160 10240 10780 11000 11125 11176 11200 11264 11303 11392 12250 12320 12446 12460 12544 12700 12800 13475 13706 13970 14000 14080 14224 14240 14336 15400 15575 15664 15680 15842 15875 16000 16256 17248 17444 17600 17780 17800 17920 19250 19558 19580 19600 19712 19936 20320 21560 21805 22000 22225 22250 22352 22400 22528 22606 22784 24475 24500 24640 24892 24920 25088 25400 25600 26950 27412 27940 28000 28160 28448 28480 30800 31115 31150 31328 31360 31684 31750 32000 32512 34265 34496 34888 34925 35200 35560 35600 35840 38500 39116 39160 39200 39424 39605 39872 40640 43120 43610 44000 44450 44500 44704 44800 45212 45568 47971 48895 48950 49000 49280 49784 49840 50176 50800 51200 53900 54824 55447 55880 56000 56320 56515 56896 56960 61600 62230 62300 62656 62720 63368 63500 64000 65024 67375 68453 68530 68992 69776 69850 70400 71120 71200 71680 77000 77875 78232 78320 78400 78848 79121 79210 79744 81280 86240 87131 87220 88000 88900 89000 89408 89600 90424 91136 95942 97790 97900 98000 98560 99568 99680 100352 101600 107800 109025 109648 110894 111125 111760 112000 112640 113030 113792 113920 122375 123200 124333 124460 124600 125312 125440 126736 127000 128000 130048 134750 136906 137060 137984 139552 139700 140800 142240 142400 154000 155575 155750 156464 156640 156800 157696 158242 158420 159488 162560 171325 172480 174262 174440 174625 176000 177800 178000 178816 179200 180848 182272 191884 195580 195800 196000 197120 198025 199136 199360 203200 215600 218050 219296 221788 222250 223520 224000 226060 227584 227840 239855 244475 244750 246400 248666 248920 249200 250624 250880 253472 254000 256000 260096 269500 273812 274120 275968 277235 279104 279400 281600 282575 284480 284800 308000 311150 311500 312928 313280 313600 316484 316840 318976 325120 342265 342650 344960 348524 348880 349250 352000 355600 356000 357632 358400 361696 383768 388129 391160 391600 392000 394240 395605 396050 398272 398720 406400 431200 435655 436100 438592 443576 444500 447040 448000 452120 455168 455680 479710 488950 489500 492800 497332 497840 498400 501248 501760 506944 508000 539000 545125 547624 548240 551936 553847 554470 558208 558800 563200 565150 568960 569600 609917 616000 621665 622300 623000 625856 626560 627200 632968 633680 637952 650240 684530 685300 689920 697048 697760 698500 704000 711200 712000 715264 723392 767536 776258 777875 782320 783200 784000 788480 791210 792100 796544 797440 812800 856625 862400 870331 871310 872200 877184 887152 889000 894080 896000 904240 910336 911360 959420 977900 979000 985600 990125 994664 995680 996800 1002496 1005967 1013888 1016000 1078000 1090250 1095248 1096480 1103872 1107694 1108940 1116416 1117600 1130300 1137920 1139200 1199275 1219834 1222375 1232000 1243330 1244600 1246000 1251712 1253120 1254400 1265936 1267360 1275904 1300480 1369060 1370600 1379840 1386175 1394096 1395520 1397000 1408000 1412875 1422400 1424000 1430528 1446784 1535072 1552516 1555750 1564640 1566400 1568000 1582420 1584200 1593088 1594880 1625600 1711325 1713250 1724800 1740662 1742620 1744400 1754368 1774304 1778000 1788160 1792000 1808480 1820672 1918840 1940645 1955800 1958000 1971200 1978025 1980250 1989328 1991360 1993600 2004992 2011934 2027776 2032000 2156000 2178275 2180500 2190496 2192960 2215388 2217880 2232832 2235200 2260600 2275840 2278400 2398550 2439668 2444750 2464000 2486660 2489200 2492000 2503424 2506240 2508800 2531872 2534720 2738120 2741200 2759680 2769235 2772350 2788192 2791040 2794000 2816000 2825750 2844800 2848000 2861056 2893568 3049585 3070144 3105032 3108325 3111500 3129280 3132800 3136000 3164840 3168400 3186176 3189760 3251200 3422650 3426500 3449600 3481324 3485240 3488800 3508736 3548608 3556000 3576320 3616960 3837680 3881290 3911600 3916000 3942400 3956050 3960500 3978656 3982720 3987200 4023868 4055552 4064000 4269419 4312000 4351655 4356550 4361000 4380992 4385920 4430776 4435760 4465664 4470400 4521200 4551680 4556800 4797100 4879336 4889500 4928000 4973320 4978400 4984000 5006848 5012480 5029835 5063744 5069440 5476240 5482400 5519360 5538470 5544700 5576384 5582080 5588000 5651500 5689600 5696000 5787136 5996375 6092317 6099170 6140288 6210064 6216650 6223000 6258560 6265600 6272000 6329680 6336800 6372352 6379520 6502400 6845300 6853000 6899200 6930875 6962648 6970480 6977600 7017472 7041769 7097216 7112000 7152640 7233920 7675360 7762580 7823200 7832000 7912100 7921000 7957312 7965440 7974400 8047736 8111104 8128000 8538838 8556625 8624000 8703310 8713100 8722000 8761984 8771840 8861552 8871520 8931328 8940800 9042400 9103360 9594200 9703225 9758672 9779000 9856000 9890125 9946640 9956800 9968000 10013696 10024960 10059670 10127488 10138880 10891375 10952480 10964800 11065637 11076940 11089400 11152768 11164160 11176000 11303000 11379200 11392000 11574272 11992750 12184634 12198340 12280576 12420128 12433300 12446000 12517120 12531200 12544000 12659360 12673600 12744704 13690600 13706000 13798400 13846175 13861750 13925296 13940960 13955200 14034944 14083538 14194432 14224000 14305280 14467840 15247925 15350720 15525160 15541625 15646400 15664000 15824200 15842000 15914624 15930880 15948800 16095472 16222208 16256000 17077676 17113250 17248000 17406620 17426200 17444000 17523968 17543680 17723104 17743040 17881600 18084800 19188400 19406450 19517344 19558000 19712000 19780250 19893280 19913600 19936000 20027392 20119340 20254976 20277760 21347095 21758275 21782750 21904960 21929600 22131274 22153880 22178800 22305536 22328320 22352000 22606000 22758400 22784000 23148544 23985500 24369268 24396680 24561152 24840256 24866600 24892000 25034240 25062400 25149175 25318720 25347200 27381200 27412000 27596800 27692350 27723500 27850592 27881920 27910400 28167076 28388864 28448000 28935680 30461585 30495850 30701440 31050320 31083250 31292800 31328000 31648400 31684000 31829248 31861760 31897600 32190944 32512000 34155352 34226500 34496000 34813240 34852400 34888000 35047936 35087360 35208845 35446208 35486080 35763200 36169600 38376800 38812900 39034688 39116000 39560500 39786560 39827200 39872000 40238680 40509952 40555520 42694190 43516550 43565500 43809920 43859200 44262548 44307760 44357600 44611072 44656640 44704000 45212000 45516800 47971000 48516125 48738536 48793360 49122304 49292383 49680512 49733200 49784000 50068480 50124800 50298350 50637440 50694400 54762400 54824000 55328185 55384700 55447000 55701184 55763840 55820800 56334152 56777728 56896000 57871360 60923170 60991700 61402880 62100640 62166500 62585600 62656000 63296800 63368000 63658496 63723520 64381888 68310704 68453000 68992000 69230875 69626480 69704800 69776000 70095872 70174720 70417690 70892416 70972160 71526400 72339200 76239625 76753600 77459459 77625800 78069376 78232000 79121000 79573120 79654400 79744000 80477360 81019904 81111040 85388380 87033100 87131000 87619840 87718400 88525096 88615520 88715200 89222144 89408000 90424000 95942000 97032250 97477072 97586720 98244608 98584766 99361024 99466400 99568000 100136960 100596700 101274880 101388800 106735475 108791375 109524800 109648000 110656370 110769400 110894000 111402368 111527680 111641600 112668304 113555456 113792000 115742720 121846340 121983400 122805760 124201280 124333000 125171200 125312000 125745875 126593600 126736000 127316992 128763776 136621408 136906000 137984000 138461750 139252960 139409600 139552000 140191744 140835380 141784832 141944320 144678400 152307925 152479250 153507200 154918918 155251600 156138752 156464000 158242000 159146240 159308800 159488000 160954720 162039808 170776760 174066200 174262000 175239680 175436800 176044225 177050192 177231040 177430400 178444288 178816000 180848000 191884000 194064500 194954144 195173440 197169532 198722048 198932800 199136000 201193400 202549760 202777600 213470950 217582750 219049600 219296000 221312740 221538800 221788000 222804736 223055360 223283200 225336608 227584000 243692680 243966800 245611520 246461915 248402560 248666000 250342400 250624000 251491750 253187200 253472000 254633984 257527552 273242816 273812000 276640925 276923500 278505920 278819200 279104000 281670760 283569664 283888640 289356800 304615850 304958500 307014400 309837836 310503200 312277504 312928000 316484000 318292480 318617600 321909440 341553520 348132400 348524000 350479360 350873600 352088450 354100384 354462080 354860800 357632000 361696000 383768000 387297295 388129000 389908288 390346880 394339064 397444096 397865600 398272000 402386800 405099520 405555200 426941900 435165500 438099200 438592000 442625480 443077600 443576000 445609472 446110720 450673216 487385360 487933600 491223040 492923830 496805120 497332000 500684800 502983500 506374400 506944000 515055104 533677375 542216213 546485632 547624000 553281850 553847000 557011840 557638400 558208000 563341520 567139328 567777280 578713600 609231700 609917000 614028800 619675672 621006400 624555008 625856000 632968000 636584960 643818880 683107040 696264800 697048000 700958720 704176900 708200768 708924160 709721600 723392000 761539625 767536000 774594590 776258000 779816576 780693760 788678128 794888192 795731200 796544000 804773600 810199040 853883800 870331000 876198400 877184000 880221125 885250960 886155200 887152000 891218944 892221440 901346432 974770720 975867200 985847660 993610240 994664000 1005967000 1012748800 1013888000 1030110208 1067354750 1084432426 1092971264 1095248000 1106563700 1107694000 1114023680 1115276800 1116416000 1126683040 1134278656 1218463400 1219834000 1228057600 1232309575 1239351344 1242012800 1249110016 1251712000 1265936000 1273169920 1287637760 1366214080 1383204625 1392529600 1394096000 1408353800 1416401536 1417848320 1419443200 1446784000 1523079250 1535072000 1549189180 1552516000 1559633152 1561387520 1577356256 1591462400 1593088000 1609547200 1707767600 1740662000 1752396800 1754368000 1760442250 1770501920 1772310400 1774304000 1782437888 1802692864 1936486475 1949541440 1951734400 1971695320 1987220480 1989328000 2011934000 2025497600 2027776000 2060220416 2134709500 2168864852 2185942528 2190496000 2213127400 2215388000 2228047360 2230553600 2253366080 2436926800 2439668000 2456115200 2464619150 2478702688 2484025600 2503424000 2531872000 2575275520 2711081065 2732428160 2766409250 2785059200 2788192000 2816707600 2832803072 2835696640 2838886400 2893568000 3046158500 3070144000 3098378360 3105032000 3119266304 3122775040 3154712512 3182924800 3219094400 3415535200 3481324000 3504793600 3520884500 3541003840 3544620800 3548608000 3605385728 3872972950 3899082880 3903468800 3943390640 3974440960 3978656000 4023868000 4050995200 4269419000 4337729704 4371885056 4380992000 4426254800 4430776000 4456094720 4461107200 4506732160 4873853600 4879336000 4929238300 4957405376 4968051200 5063744000 5150551040 5422162130 5464856320 5532818500 5570118400 5576384000 5633415200 5665606144 5671393280 6092317000 6140288000 6161547875 6196756720 6210064000 6238532608 6245550080 6309425024 6365849600 6438188800 6831070400 6962648000 7041769000 7082007680 7089241600 7097216000 7210771456 7745945900 7798165760 7806937600 7886781280 7957312000 8047736000 8538838000 8675459408 8743770112 8761984000 8852509600 8861552000 8912189440 9013464320 9682432375 9747707200 9758672000 9858476600 9914810752 9936102400 10127488000 10301102080 10844324260 10929712640 11065637000 11140236800 11152768000 11266830400 11331212288 12184634000 12280576000 12323095750 12393513440 12420128000 12477065216 12618850048 12876377600 13555405325 13662140800 13925296000 14083538000 14164015360 14178483200 14194432000 14421542912 15491891800 15596331520 15613875200 15773562560 15914624000 16095472000 17077676000 17350918816 17523968000 17705019200 17723104000 18026928640 19364864750 19495414400 19517344000 19716953200 19829621504 19872204800 20254976000 21688648520 21859425280 22131274000 22280473600 22305536000 22533660800 22662424576 24369268000 24646191500 24787026880 24840256000 25237700096 25752755200 27110810650 27324281600 27850592000 28167076000 28328030720 28356966400 30983783600 31192663040 31227750400 31547125120 31829248000 32190944000 34155352000 34701837632 35410038400 35446208000 36053857280 38729729500 38990828800 39034688000 39433906400 39659243008 43377297040 43718850560 44262548000 44560947200 45067321600 48738536000 49292383000 49574053760 49680512000 50475400192 51505510400 54221621300 54648563200 55701184000 56334152000 56656061440 61967567200 62385326080 63094250240 64381888000 67777026625 68310704000 69403675264 70820076800 70892416000 72107714560 77459459000 77981657600 78069376000 78867812800 79318486016 86754594080 88525096000 90134643200 97477072000 98584766000 99148107520 99361024000 100950800384 108443242600 109297126400 111402368000 112668304000 113312122880 123935134400 126188500480 128763776000 135554053250 136621408000 138807350528 141640153600 141784832000 154918918000 155963315200 156138752000 157735625600 158636972032 173509188160 177050192000 180269286400 194954144000 197169532000 198296215040 216886485200 218594252800 222804736000 225336608000 247870268800 252377000960 257527552000 271108106500 273242816000 277614701056 283280307200 309837836000 311926630400 315471251200 347018376320 354100384000 360538572800 389908288000 394339064000 396592430080 433772970400 450673216000 495740537600 504754001920 542216213000 546485632000 555229402112 566560614400 619675672000 630942502400 694036752640 708200768000 779816576000 788678128000 793184860160 867545940800 901346432000 991481075200 1084432426000 1092971264000 1110458804224 1239351344000 1261885004800 1388073505280 1416401536000 1559633152000 1577356256000 1735091881600 1802692864000 1982962150400 2168864852000 2478702688000 2523770009600 2776147010560 2832803072000 3154712512000 3470183763200 3965924300800 4337729704000 4957405376000 5552294021120 6309425024000 6940367526400 8675459408000 9914810752000 12618850048000 13880735052800 17350918816000 19829621504000 27761470105600 34701837632000 69403675264000 138807350528000
- Sum of all divisors σ(n): 448054978775040
- Sum of proper divisors (its aliquot sum) s(n): 309247628247040
- 138807350528000 is an abundant number, because the sum of its proper divisors (309247628247040) is greater than itself. Its abundance is 170440277719040
Bases of 138807350528000
- Binary: 111111000111110100110101101001000001000000000002
- Hexadecimal: 0x7E3E9AD20800
- Base-36: 1D7B7SLRSW
Squares and roots of 138807350528000
- 138807350528000 squared (1388073505280002) is 19267480560603061878784000000
- 138807350528000 cubed (1388073505280003) is 2674467927967055157278444934397952000000000
-
The
square root of 138807350528000 is 11781653.1322221501 -
The
cube root of 138807350528000 is 51777.0721028887
Scales and comparisons
How big is 138807350528000?- 138,807,350,528,000 seconds is equal to 4,413,644 years, 20 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 138,807,350,528,000 would take you about eleven million, thirty-four thousand, one hundred ten 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 138807350528000 cubic inches would be around 4314.8 feet tall.
Recreational maths with 138807350528000
- 138807350528000 backwards is 000825053708831
- 138807350528000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138807350528000's digits is 50
- 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 138807350528000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 138807350528000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138807350528000/
Chicago style:
Numbermatics. 2024. "Number 138807350528000 - Facts about the integer". https://numbermatics.com/n/138807350528000/
The information we have on file for 138807350528000 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 138807350528000, math, Factors of 138807350528000, curriculum, school, college, exams, university, Prime factorization of 138807350528000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, eight hundred seven billion, three hundred fifty million, five hundred twenty-eight thousand.