138385532937600
138,385,532,937,600 is an even composite number composed of six prime numbers multiplied together.
138385532937600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 138385532937600:
27 × 34 × 52 × 13 × 31 × 11512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 31 × 1151 × 1151)See below for interesting mathematical facts about the number 138385532937600 from the Numbermatics database.
Names of 138385532937600
- Cardinal: 138385532937600 can be written as One hundred thirty-eight trillion, three hundred eighty-five billion, five hundred thirty-two million, nine hundred thirty-seven thousand, six hundred.
Scientific notation
- Scientific notation: 1.383855329376 × 1014
Factors of 138385532937600
Divisors of 138385532937600
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 31 32 36 39 40 45 48 50 52 54 60 62 64 65 72 75 78 80 81 90 93 96 100 104 108 117 120 124 128 130 135 144 150 155 156 160 162 180 186 192 195 200 208 216 225 234 240 248 260 270 279 288 300 310 312 320 324 325 351 360 372 384 390 400 403 405 416 432 450 465 468 480 496 520 540 558 576 585 600 620 624 640 648 650 675 702 720 744 775 780 800 806 810 832 837 864 900 930 936 960 975 992 1040 1053 1080 1116 1151 1152 1170 1200 1209 1240 1248 1296 1300 1350 1395 1404 1440 1488 1550 1560 1600 1612 1620 1664 1674 1728 1755 1800 1860 1872 1920 1950 1984 2015 2025 2080 2106 2160 2232 2302 2325 2340 2400 2418 2480 2496 2511 2592 2600 2700 2790 2808 2880 2925 2976 3100 3120 3200 3224 3240 3348 3453 3456 3510 3600 3627 3720 3744 3900 3968 4030 4050 4160 4185 4212 4320 4464 4604 4650 4680 4800 4836 4960 4992 5022 5184 5200 5265 5400 5580 5616 5755 5760 5850 5952 6045 6200 6240 6448 6480 6696 6906 6975 7020 7200 7254 7440 7488 7800 8060 8100 8320 8370 8424 8640 8775 8928 9208 9300 9360 9600 9672 9920 10044 10075 10359 10368 10400 10530 10800 10881 11160 11232 11510 11700 11904 12090 12400 12480 12555 12896 12960 13392 13812 13950 14040 14400 14508 14880 14963 14976 15600 16120 16200 16740 16848 17265 17280 17550 17856 18135 18416 18600 18720 19344 19840 20088 20150 20718 20800 20925 21060 21600 21762 22320 22464 23020 23400 24180 24800 24960 25110 25792 25920 26325 26784 27624 27900 28080 28775 28800 29016 29760 29926 30225 31077 31200 32240 32400 32643 33480 33696 34530 35100 35681 35712 36270 36832 37200 37440 38688 40176 40300 41436 41600 41850 42120 43200 43524 44640 44889 44928 46040 46800 48360 49600 50220 51584 51795 51840 52650 53568 54405 55248 55800 56160 57550 58032 59520 59852 60450 62154 62400 62775 64480 64800 65286 66960 67392 69060 70200 71362 72540 73664 74400 74815 74880 77376 80352 80600 82872 83700 84240 86325 86400 87048 89280 89778 90675 92080 93231 93600 96720 99200 100440 103590 105300 107043 107136 108810 110496 111600 112320 115100 116064 119704 120900 124308 124800 125550 128960 129600 130572 133920 134667 134784 138120 140400 142724 145080 147328 148800 149630 154752 155385 160704 161200 163215 165744 167400 168480 172650 174096 178405 178560 179556 181350 184160 186462 187200 193440 200880 207180 210600 214086 217620 220992 223200 224445 224640 230200 232128 239408 241800 248616 251100 257920 258975 259200 261144 267840 269334 272025 276240 280800 285448 290160 297600 299260 310770 321129 321408 322400 326430 331488 334800 336960 345300 348192 356810 359112 362700 368320 372924 374075 374400 386880 401760 404001 414360 421200 428172 435240 441984 446400 448890 460400 463853 464256 466155 478816 483600 497232 502200 517950 522288 535215 535680 538668 544050 552480 561600 570896 580320 598520 621540 642258 644800 652860 662976 669600 673335 673920 690600 696384 713620 718224 725400 736640 745848 748150 773760 776925 803520 808002 816075 828720 842400 856344 870480 892025 892800 897780 920800 927706 932310 957632 963387 967200 994464 1004400 1035900 1044576 1070430 1077336 1088100 1104960 1122225 1123200 1141792 1160640 1197040 1212003 1243080 1284516 1289600 1305720 1324801 1325952 1339200 1346670 1381200 1391559 1392768 1427240 1436448 1450800 1491696 1496300 1553850 1605645 1607040 1616004 1632150 1657440 1684800 1712688 1740960 1784050 1795560 1841600 1855412 1864620 1915264 1926774 1934400 1988928 2008800 2020005 2071800 2089152 2140860 2154672 2176200 2209920 2244450 2283584 2319265 2321280 2330775 2394080 2424006 2486160 2569032 2611440 2649602 2676075 2678400 2693340 2762400 2783118 2854480 2872896 2890161 2901600 2983392 2992600 3107700 3211290 3232008 3264300 3314880 3366675 3369600 3425376 3481920 3568100 3591120 3683200 3710824 3729240 3853548 3868800 3974403 3977856 4017600 4040010 4143600 4174677 4178304 4281720 4309344 4352400 4488900 4567168 4638530 4661550 4788160 4816935 4848012 4972320 5138064 5222880 5299204 5352150 5386680 5524800 5566236 5708960 5745792 5780322 5803200 5966784 5985200 6060015 6215400 6422580 6464016 6528600 6624005 6629760 6733350 6850752 6957795 6963840 7136200 7182240 7421648 7458480 7707096 7948806 8028225 8035200 8080020 8287200 8349354 8563440 8618688 8704800 8977800 9277060 9323100 9576320 9633870 9696024 9944640 10100025 10276128 10445760 10598408 10704300 10773360 11049600 11132472 11417920 11560644 11596325 11606400 11923209 11933568 11970400 12120030 12430800 12524031 12845160 12928032 13057200 13248010 13466700 13701504 13915590 14272400 14364480 14450805 14843296 14916960 15414192 15897612 16056450 16160040 16574400 16698708 17126880 17222413 17237376 17409600 17955600 18554120 18646200 19267740 19392048 19872015 19889280 20200050 20552256 20873385 20891520 21196816 21408600 21546720 22264944 22835840 23121288 23192650 23846418 23940800 24084675 24240060 24861600 25048062 25690320 25856064 26114400 26496020 26933400 27831180 28544800 28728960 28901610 29686592 29833920 30300075 30828384 31795224 32112900 32320080 33120025 33148800 33397416 34253760 34444826 34788975 34819200 35769627 35911200 37108240 37292400 37572093 38535480 38784096 39744030 40400100 41068831 41104512 41746770 42393632 42817200 43093440 44529888 46242576 46385300 47692836 47881600 48169350 48480120 49723200 50096124 51380640 51667239 51712128 52228800 52992040 53866800 55662360 57089600 57803220 59373184 59616045 59667840 60600150 61656768 62620155 63590448 64225800 64640160 66240050 66794832 68507520 68889652 69577950 71539254 71822400 72254025 74216480 74584800 75144186 77070960 77568192 79488060 80800200 82137662 83493540 84787264 85634400 86112065 86186880 89059776 92485152 92770600 95385672 96338700 96960240 99360075 99446400 100192248 102761280 103334478 104366925 104457600 105984080 107308881 107733600 111324720 114179200 115606440 119232090 121200300 123206493 123313536 125240310 127180896 128451600 129280320 132480100 133589664 137779304 139155900 143078508 143644800 144508050 148432960 149169600 150288372 154141920 155001717 155136384 158976120 161600400 164275324 166987080 169574528 171268800 172224130 178119552 178848135 184970304 185541200 187860465 190771344 192677400 193920480 198720150 200384496 205344155 205522560 206668956 208733850 211968160 214617762 215467200 222649440 231212880 238464180 242400600 246412986 250480620 254361792 256903200 258336195 258560640 264960200 267179328 275558608 278311800 286157016 289016100 296865920 298080225 298339200 300576744 308283840 310003434 313100775 317952240 323200800 328550648 333974160 342537600 344448260 357696270 369619479 369940608 371082400 375720930 381542688 385354800 387840960 397440300 400768992 410688310 413337912 417467700 423936320 429235524 430560325 430934400 445298880 462425760 465005151 476928360 484801200 492825972 500961240 508723584 513806400 516672390 529920400 533894803 534358656 536544405 551117216 556623600 572314032 578032200 596160450 601153488 616032465 616567680 620006868 626201550 635904480 646401600 657101296 667948320 688896520 715392540 739238958 742164800 751441860 763085376 770709600 775008585 775681920 794880600 801537984 821376620 826675824 834935400 847872640 858471048 861120650 890597760 894240675 924851520 930010302 939302325 953856720 969602400 985651944 1001922480 1026720775 1027612800 1033344780 1059840800 1067789606 1073088810 1102234432 1108858437 1113247200 1144628064 1156064400 1192320900 1202306976 1232064930 1240013736 1252403100 1271808960 1291680975 1292803200 1314202592 1335896640 1377793040 1395015453 1430785080 1478477916 1484329600 1502883720 1526170752 1541419200 1550017170 1589761200 1601684409 1603075968 1642753240 1653351648 1669870800 1716942096 1722241300 1788481350 1848097395 1849703040 1860020604 1878604650 1907713440 1939204800 1971303888 2003844960 2053441550 2066689560 2119681600 2135579212 2146177620 2204468864 2217716874 2226494400 2289256128 2312128800 2325025755 2384641800 2404613952 2464129860 2480027472 2504806200 2543617920 2583361950 2628405184 2669474015 2671793280 2682722025 2755586080 2790030906 2861570160 2956955832 3005767440 3080162325 3082838400 3100034340 3179522400 3203368818 3285506480 3306703296 3326575311 3339741600 3433884192 3444482600 3576962700 3696194790 3720041208 3757209300 3815426880 3875042925 3878409600 3942607776 4007689920 4106883100 4133379120 4239363200 4271158424 4292355240 4435433748 4452988800 4578512256 4624257600 4650051510 4769283600 4805053227 4809227904 4928259720 4960054944 5009612400 5166723900 5256810368 5338948030 5365444050 5511172160 5544292185 5580061812 5723140320 5913911664 6011534880 6160324650 6200068680 6359044800 6406737636 6571012960 6613406592 6653150622 6679483200 6867768384 6888965200 6975077265 7153925400 7392389580 7440082416 7514418600 7630853760 7750085850 7885215552 8008422045 8015379840 8213766200 8266758240 8542316848 8584710480 8870867496 9240486975 9248515200 9300103020 9538567200 9610106454 9856519440 9920109888 10019224800 10333447800 10677896060 10730888100 11022344320 11088584370 11160123624 11446280640 11625128775 11827823328 12023069760 12320649300 12400137360 12718089600 12813475272 13142025920 13306301244 13347370075 13358966400 13735536768 13777930400 13950154530 14307850800 14415159681 14784779160 14880164832 15028837200 15500171700 15770431104 16016844090 16427532400 16533516480 16632876555 17084633696 17169420960 17741734992 18480973950 18600206040 19077134400 19220212908 19713038880 19840219776 20038449600 20666895600 21355792120 21461776200 22177168740 22320247248 22892561280 23250257550 23655646656 24025266135 24046139520 24641298600 24800274720 25626950544 26284051840 26612602488 26694740150 27555860800 27721460925 27900309060 28615701600 28830319362 29569558320 29760329664 30057674400 31000343400 32033688180 32855064800 33067032960 33265753110 34169267392 34338841920 34875386325 35483469984 36961947900 37200412080 38154268800 38440425816 39426077760 40042110225 40076899200 41333791200 42711584240 42923552400 43245479043 44354337480 44640494496 46500515100 47311293312 48050532270 49282597200 49600549440 51253901088 53225204976 53389480300 55111721600 55442921850 55800618120 57231403200 57660638724 59139116640 59520659328 60115348800 62000686800 64067376360 65710129600 66531506220 68338534784 68677683840 69750772650 70966939968 72075798405 73923895800 74400824160 76880851632 78852155520 80084220450 82667582400 83164382775 85423168480 85847104800 86490958086 88708674960 89280988992 93001030200 96101064540 98565194400 99201098880 102507802176 106450409952 106778960600 110885843700 111601236240 114462806400 115321277448 118278233280 120126330675 120230697600 124001373600 128134752720 131420259200 133063012440 139501545300 141933879936 144151596810 147847791600 148801648320 153761703264 160168440900 165335164800 166328765550 170846336960 171694209600 172981916172 177417349920 178561977984 186002060400 192202129080 197130388800 205015604352 212900819904 213557921200 216227395215 221771687400 223202472480 230642554896 236556466560 240252661350 248002747200 256269505440 266126024880 279003090600 288303193620 295695583200 297603296640 307523406528 320336881800 332657531100 341692673920 343388419200 345963832344 354834699840 360378992025 372004120800 384404258160 394260777600 425801639808 427115842400 432454790430 443543374800 446404944960 461285109792 480505322700 496005494400 512539010880 532252049760 558006181200 576606387240 591391166400 615046813056 640673763600 665315062200 691927664688 709669399680 720757984050 744008241600 768808516320 854231684800 864909580860 887086749600 892809889920 922570219584 961010645400 1025078021760 1064504099520 1081136976075 1116012362400 1153212774480 1182782332800 1281347527200 1330630124400 1383855329376 1441515968100 1488016483200 1537617032640 1708463369600 1729819161720 1774173499200 1845140439168 1922021290800 2129008199040 2162273952150 2232024724800 2306425548960 2562695054400 2661260248800 2767710658752 2883031936200 3075234065280 3459638323440 3548346998400 3844042581600 4324547904300 4464049449600 4612851097920 5125390108800 5322520497600 5535421317504 5766063872400 6919276646880 7688085163200 8649095808600 9225702195840 10645040995200 11532127744800 13838553293760 15376170326400 17298191617200 23064255489600 27677106587520 34596383234400 46128510979200 69192766468800 138385532937600
- Sum of all divisors σ(n): 568189742070720
- Sum of proper divisors (its aliquot sum) s(n): 429804209133120
- 138385532937600 is an abundant number, because the sum of its proper divisors (429804209133120) is greater than itself. Its abundance is 291418676195520
Bases of 138385532937600
- Binary: 111110111011100011001001000100001100101100000002
- Hexadecimal: 0x7DDC64886580
- Base-36: 1D1XFPAW00
Squares and roots of 138385532937600
- 138385532937600 squared (1383855329376002) is 19150555726423574485493760000
- 138385532937600 cubed (1383855329376003) is 2650159860252333861611423697879269376000000
-
The
square root of 138385532937600 is 11763738.0512148433 -
The
cube root of 138385532937600 is 51724.5709430679
Scales and comparisons
How big is 138385532937600?- 138,385,532,937,600 seconds is equal to 4,400,231 years, 46 weeks, 3 days.
-
To count from 1 to 138,385,532,937,600 would take you about eleven million, five hundred seventy-nine 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 138385532937600 cubic inches would be around 4310.4 feet tall.
Recreational maths with 138385532937600
- 138385532937600 backwards is 006739235583831
- The number of decimal digits it has is: 15
- The sum of 138385532937600's digits is 63
- 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 138385532937600 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
APA style:
Numbermatics. (2024). Number 138385532937600 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/138385532937600/
Chicago style:
Numbermatics. 2024. "Number 138385532937600 - Facts about the integer". https://numbermatics.com/n/138385532937600/
The information we have on file for 138385532937600 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 138385532937600, math, Factors of 138385532937600, curriculum, school, college, exams, university, Prime factorization of 138385532937600, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred eighty-five billion, five hundred thirty-two million, nine hundred thirty-seven thousand, six hundred.