135216189388800
135,216,189,388,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 135216189388800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
135216189388800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 135216189388800:
211 × 33 × 52 × 133 × 2112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 211 × 211)See below for interesting mathematical facts about the number 135216189388800 from the Numbermatics database.
Names of 135216189388800
- Cardinal: 135216189388800 can be written as One hundred thirty-five trillion, two hundred sixteen billion, one hundred eighty-nine million, three hundred eighty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.352161893888 × 1014
Factors of 135216189388800
Divisors of 135216189388800
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 90 96 100 104 108 117 120 128 130 135 144 150 156 160 169 180 192 195 200 208 211 216 225 234 240 256 260 270 288 300 312 320 325 338 351 360 384 390 400 416 422 432 450 468 480 507 512 520 540 576 585 600 624 633 640 650 675 676 702 720 768 780 800 832 844 845 864 900 936 960 975 1014 1024 1040 1055 1080 1152 1170 1200 1248 1266 1280 1300 1350 1352 1404 1440 1521 1536 1560 1600 1664 1688 1690 1728 1755 1800 1872 1899 1920 1950 2028 2048 2080 2110 2160 2197 2304 2340 2400 2496 2532 2535 2560 2600 2700 2704 2743 2808 2880 2925 3042 3072 3120 3165 3200 3328 3376 3380 3456 3510 3600 3744 3798 3840 3900 4056 4160 4220 4225 4320 4394 4563 4608 4680 4800 4992 5064 5070 5120 5200 5275 5400 5408 5486 5616 5697 5760 5850 6084 6144 6240 6330 6400 6591 6656 6752 6760 6912 7020 7200 7488 7596 7605 7680 7800 8112 8229 8320 8440 8450 8640 8775 8788 9126 9216 9360 9495 9600 9984 10128 10140 10240 10400 10550 10800 10816 10972 10985 11232 11394 11520 11700 12168 12480 12660 12675 12800 13182 13312 13504 13520 13715 13824 14040 14400 14976 15192 15210 15360 15600 15825 16224 16458 16640 16880 16900 17280 17550 17576 18252 18432 18720 18990 19200 19773 19968 20256 20280 20800 21100 21600 21632 21944 21970 22464 22788 22815 23040 23400 24336 24687 24960 25320 25350 25600 26364 26624 27008 27040 27430 27648 28080 28485 28800 29952 30384 30420 30720 31200 31650 32448 32916 32955 33280 33760 33800 34560 35100 35152 35659 36504 37440 37980 38025 38400 39546 39936 40512 40560 41145 41600 42200 43200 43264 43888 43940 44521 44928 45576 45630 46080 46800 47475 48672 49374 49920 50640 50700 51200 52728 54016 54080 54860 54925 55296 56160 56970 57600 59319 59904 60768 60840 62400 63300 64896 65832 65910 66560 67520 67600 68575 69120 70200 70304 71318 73008 74061 74880 75960 76050 76800 79092 79872 81024 81120 82290 83200 84400 86400 86528 87776 87880 89042 89856 91152 91260 92160 93600 94950 97344 98748 98865 99840 101280 101400 105456 106977 108032 108160 109720 109850 112320 113940 114075 115200 118638 119808 121536 121680 123435 124800 126600 129792 131664 131820 133120 133563 135040 135200 137150 138240 140400 140608 142425 142636 146016 148122 149760 151920 152100 153600 158184 162048 162240 164580 164775 166400 168800 172800 173056 175552 175760 178084 178295 179712 182304 182520 187200 189900 194688 197496 197730 199680 202560 202800 205725 210912 213954 216064 216320 219440 219700 222605 224640 227880 228150 230400 237276 239616 243072 243360 246870 249600 253200 259584 263328 263640 267126 270080 270400 274300 276480 280800 281216 284850 285272 292032 296244 296595 299520 303840 304200 316368 320931 324096 324480 329160 329550 332800 337600 345600 346112 351104 351520 356168 356590 359424 364608 365040 370305 374400 379800 389376 394992 395460 399360 400689 405120 405600 411450 421824 427908 432128 432640 438880 439400 445210 449280 455760 456300 460800 463567 474552 486144 486720 493740 494325 499200 506400 519168 526656 527280 534252 534885 540160 540800 548600 561600 562432 569700 570544 578773 584064 592488 593190 599040 607680 608400 617175 632736 641862 648192 648960 658320 659100 665600 667815 675200 691200 702208 703040 712336 713180 718848 729216 730080 740610 748800 759600 778752 789984 790920 801378 810240 811200 822900 843648 855816 865280 877760 878800 890420 891475 898560 911520 912600 927134 949104 962793 972288 973440 987480 988650 998400 1012800 1038336 1053312 1054560 1068504 1069770 1080320 1081600 1097200 1113025 1123200 1124864 1139400 1141088 1157546 1168128 1184976 1186380 1198080 1202067 1215360 1216800 1234350 1265472 1283724 1296384 1297920 1316640 1318200 1335630 1350400 1382400 1390701 1404416 1406080 1424672 1426360 1458432 1460160 1481220 1482975 1497600 1519200 1557504 1579968 1581840 1602756 1604655 1620480 1622400 1645800 1687296 1711632 1730560 1736319 1755520 1757600 1780840 1782950 1797120 1823040 1825200 1851525 1854268 1898208 1925586 1944576 1946880 1974960 1977300 1996800 2003445 2025600 2106624 2109120 2137008 2139540 2160640 2163200 2194400 2226050 2246400 2249728 2278800 2282176 2315092 2317835 2336256 2369952 2372760 2404134 2430720 2433600 2468700 2530944 2567448 2595840 2633280 2636400 2671260 2674425 2700800 2781402 2808832 2812160 2849344 2852720 2893865 2916864 2920320 2962440 2965950 2995200 3038400 3115008 3159936 3163680 3205512 3209310 3240960 3244800 3291600 3339075 3374592 3423264 3472638 3511040 3515200 3561680 3565900 3594240 3646080 3650400 3703050 3708536 3796416 3851172 3889152 3893760 3949920 3954600 4006890 4051200 4172103 4213248 4218240 4274016 4279080 4326400 4388800 4452100 4492800 4499456 4557600 4564352 4630184 4635670 4672512 4739904 4745520 4808268 4813965 4861440 4867200 4937400 5061888 5134896 5191680 5208957 5266560 5272800 5342520 5348850 5401600 5562804 5617664 5624320 5698688 5705440 5787730 5833728 5840640 5924880 5931900 5990400 6010335 6076800 6319872 6327360 6411024 6418620 6481920 6489600 6583200 6678150 6749184 6846528 6945276 6953505 7022080 7030400 7123360 7131800 7292160 7300800 7406100 7417072 7524049 7592832 7702344 7787520 7899840 7909200 8013780 8023275 8102400 8344206 8426496 8436480 8548032 8558160 8652800 8681595 8777600 8904200 8985600 9115200 9128704 9260368 9271340 9345024 9479808 9491040 9616536 9627930 9722880 9734400 9874800 10017225 10123776 10269792 10417914 10533120 10545600 10685040 10697700 10803200 11125608 11248640 11397376 11410880 11575460 11589175 11667456 11681280 11849760 11863800 12020670 12153600 12516309 12639744 12654720 12822048 12837240 12979200 13166400 13356300 13498368 13693056 13890552 13907010 14044160 14060800 14246720 14263600 14469325 14584320 14601600 14812200 14834144 15048098 15185664 15404688 15575040 15626871 15799680 15818400 16027560 16046550 16204800 16688412 16852992 16872960 17096064 17116320 17363190 17555200 17808400 17971200 18230400 18257408 18520736 18542680 18959616 18982080 19233072 19255860 19445760 19468800 19749600 20034450 20247552 20539584 20835828 20860515 21066240 21091200 21370080 21395400 22251216 22497280 22572147 22794752 22821760 23150920 23178350 23362560 23699520 23727600 24041340 24069825 24307200 25032618 25279488 25309440 25644096 25674480 25958400 26044785 26332800 26712600 27386112 27781104 27814020 28088320 28121600 28493440 28527200 28938650 29168640 29203200 29624400 29668288 30051675 30096196 30371328 30809376 31253742 31599360 31636800 32055120 32093100 32409600 33376824 33745920 34192128 34232640 34726380 34767525 35110400 35616800 36460800 36514816 37041472 37085360 37620245 37919232 37964160 38466144 38511720 38937600 39499200 40068900 40495104 41079168 41671656 41721030 42132480 42182400 42740160 42790800 43407975 44502432 45144294 45589504 45643520 46301840 46356700 46725120 47399040 47455200 48082680 48139650 48614400 50065236 50558976 50618880 51288192 51348960 52089570 52665600 53425200 54772224 55562208 55628040 56243200 56986880 57054400 57877300 58337280 58406400 59248800 59336576 60103350 60192392 60742656 61618752 62507484 62581545 63198720 63273600 64110240 64186200 66753648 67491840 67716441 68384256 68465280 69452760 69535050 70220800 71233600 72921600 73029632 74082944 74170720 75240490 75838464 75928320 76932288 77023440 77875200 78134355 78998400 80137800 82158336 83343312 83442060 84264960 84364800 85480320 85581600 86815950 89004864 90288588 91179008 91287040 92603680 92713400 94798080 94910400 96165360 96279300 97228800 97812637 100130472 101237760 102576384 102697920 104179140 104302575 105331200 106850400 109544448 111124416 111256080 112486400 112860735 113973760 114108800 115754600 116812800 118497600 118673152 120206700 120384784 121485312 123237504 125014968 125163090 126397440 126547200 128220480 128372400 130223925 133507296 135432882 136768512 136930560 138905520 139070100 140441600 142467200 145843200 148165888 148341440 150480980 151676928 151856640 153864576 154046880 156268710 157996800 160275600 164316672 166686624 166884120 168729600 170960640 171163200 173631900 178009728 180577176 182574080 185207360 185426800 188101225 189596160 189820800 192330720 192558600 195625274 200260944 202475520 203149323 205152768 205395840 208358280 208605150 210662400 213700800 219088896 222248832 222512160 225721470 227947520 228217600 231509200 233625600 236995200 237346304 240413400 240769568 246475008 250029936 250326180 252794880 253094400 256440960 256744800 260447850 267014592 270865764 273537024 273861120 277811040 278140200 284934400 291686400 293437911 296331776 296682880 300961960 303713280 307729152 308093760 312537420 312907725 315993600 320551200 328633344 333373248 333768240 337459200 338582205 341921280 342326400 347263800 356019456 361154352 365148160 370414720 370853600 376202450 379192320 379641600 384661440 385117200 390671775 391250548 400521888 406298646 410305536 410791680 416716560 417210300 421324800 427401600 444497664 445024320 451442940 455895040 456435200 463018400 473990400 474692608 480826800 481539136 489063185 492950016 500059872 500652360 506188800 512881920 513489600 520895700 534029184 541731528 547722240 555622080 556280400 564303675 569868800 586875822 592663552 593365760 601923920 607426560 615458304 616187520 625074840 625815450 631987200 641102400 657266688 666746496 667536480 677164410 683842560 684652800 694527600 712038912 722308704 740829440 741707200 752404900 758384640 759283200 769322880 770234400 781343550 782501096 801043776 812597292 820611072 821583360 833433120 834420600 854803200 880313733 888995328 890048640 902885880 912870400 926036800 947980800 949385216 961653600 963078272 978126370 985900032 1000119744 1001304720 1012377600 1015746615 1025763840 1026979200 1041791400 1068058368 1083463056 1095444480 1111244160 1112560800 1128607350 1139737600 1173751644 1185327104 1186731520 1203847840 1230916608 1232375040 1250149680 1251630900 1263974400 1282204800 1333492992 1335072960 1354328820 1367685120 1369305600 1389055200 1424077824 1444617408 1467189555 1481658880 1483414400 1504809800 1518566400 1538645760 1540468800 1562687100 1565002192 1602087552 1625194584 1643166720 1666866240 1668841200 1692911025 1709606400 1760627466 1777990656 1780097280 1805771760 1825740800 1852073600 1895961600 1923307200 1926156544 1956252740 1971800064 2000239488 2002609440 2031493230 2051527680 2053958400 2083582800 2136116736 2166926112 2222488320 2225121600 2257214700 2279475200 2347503288 2373463040 2407695680 2445315925 2461833216 2464750080 2500299360 2503261800 2564409600 2640941199 2666985984 2670145920 2708657640 2738611200 2778110400 2848155648 2889234816 2934379110 2963317760 2966828800 3009619600 3037132800 3077291520 3080937600 3125374200 3130004384 3204175104 3250389168 3286333440 3333732480 3337682400 3385822050 3419212800 3521254932 3555981312 3560194560 3611543520 3704147200 3791923200 3846614400 3852313088 3912505480 4000478976 4005218880 4062986460 4103055360 4107916800 4167165600 4272233472 4333852224 4401568665 4444976640 4450243200 4514429400 4695006576 4746926080 4815391360 4890631850 4929500160 5000598720 5006523600 5078733075 5128819200 5281882398 5333971968 5340291840 5417315280 5477222400 5556220800 5778469632 5868758220 5926635520 5933657600 6019239200 6154583040 6161875200 6250748400 6260008768 6408350208 6500778336 6667464960 6675364800 6771644100 6838425600 7042509864 7120389120 7223087040 7335947775 7408294400 7693228800 7704626176 7825010960 8000957952 8010437760 8125972920 8215833600 8334331200 8544466944 8667704448 8803137330 8889953280 8900486400 9028858800 9390013152 9630782720 9781263700 9859000320 10001197440 10013047200 10157466150 10257638400 10563764796 10667943936 10680583680 10834630560 11112441600 11556939264 11737516440 11867315200 12038478400 12309166080 12323750400 12501496800 12520017536 12816700416 13001556672 13204705995 13334929920 13350729600 13543288200 14085019728 14240778240 14446174080 14671895550 14816588800 15386457600 15409252352 15650021920 16001915904 16020875520 16251945840 16431667200 16668662400 17335408896 17606274660 17779906560 17800972800 18057717600 18780026304 19261565440 19562527400 20002394880 20026094400 20314932300 20515276800 21127529592 21361167360 21669261120 22007843325 22224883200 23113878528 23475032880 23734630400 24076956800 24647500800 25002993600 25040035072 25633400832 26003113344 26409411990 26669859840 26701459200 27086576400 28170039456 28892348160 29343791100 29633177600 30772915200 31300043840 32003831808 32041751040 32503891680 33337324800 34670817792 35212549320 35601945600 36115435200 37560052608 38523130880 39125054800 40004789760 40052188800 40629864600 42255059184 42722334720 43338522240 44015686650 44449766400 46227757056 46950065760 48153913600 49295001600 50005987200 50080070144 52006226688 52818823980 53339719680 53402918400 54173152800 56340078912 57784696320 58687582200 61545830400 62600087680 64083502080 65007783360 66023529975 66674649600 69341635584 70425098640 71203891200 72230870400 75120105216 77046261760 78250109600 80009579520 80104377600 81259729200 84510118368 86677044480 88031373300 88899532800 93900131520 96307827200 100011974400 100160140288 104012453376 105637647960 106805836800 108346305600 112680157824 115569392640 117375164400 125200175360 128167004160 130015566720 132047059950 133349299200 138683271168 140850197280 144461740800 150240210432 156500219200 160019159040 160208755200 162519458400 169020236736 173354088960 176062746600 187800263040 192615654400 200023948800 200320280576 208024906752 211275295920 213611673600 216692611200 225360315648 231138785280 234750328800 250400350720 260031133440 264094119900 266698598400 281700394560 288923481600 300480420864 313000438400 320417510400 325038916800 338040473472 346708177920 352125493200 375600526080 385231308800 400047897600 416049813504 422550591840 433385222400 450720631296 469500657600 500800701440 520062266880 528188239800 563400789120 577846963200 600960841728 626000876800 640835020800 650077833600 676080946944 693416355840 704250986400 751201052160 800095795200 845101183680 866770444800 901441262592 939001315200 1001601402880 1040124533760 1056376479600 1126801578240 1155693926400 1252001753600 1300155667200 1352161893888 1408501972800 1502402104320 1690202367360 1733540889600 1802882525184 1878002630400 2080249067520 2112752959200 2253603156480 2504003507200 2600311334400 2704323787776 2817003945600 3004804208640 3380404734720 3467081779200 3756005260800 4225505918400 4507206312960 5008007014400 5200622668800 5408647575552 5634007891200 6760809469440 7512010521600 8451011836800 9014412625920 10401245337600 11268015782400 13521618938880 15024021043200 16902023673600 22536031564800 27043237877760 33804047347200 45072063129600 67608094694400 135216189388800
- Sum of all divisors σ(n): 540605641212000
- Sum of proper divisors (its aliquot sum) s(n): 405389451823200
- 135216189388800 is an abundant number, because the sum of its proper divisors (405389451823200) is greater than itself. Its abundance is 270173262434400
Bases of 135216189388800
- Binary: 111101011111010011110001110111110111000000000002
- Hexadecimal: 0x7AFA78EFB800
- Base-36: 1BXHGJZEO0
Squares and roots of 135216189388800
- 135216189388800 squared (1352161893888002) is 18283417872827829717565440000
- 135216189388800 cubed (1352161893888003) is 2472214093766858656505605349097603072000000
-
The
square root of 135216189388800 is 11628249.6270418963 -
The
cube root of 135216189388800 is 51326.6473999551
Scales and comparisons
How big is 135216189388800?- 135,216,189,388,800 seconds is equal to 4,299,456 years, 29 weeks, 5 days.
-
To count from 1 to 135,216,189,388,800 would take you about ten million, seven hundred forty-eight thousand, six hundred forty-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 135216189388800 cubic inches would be around 4277.2 feet tall.
Recreational maths with 135216189388800
- 135216189388800 backwards is 008883981612531
- The number of decimal digits it has is: 15
- The sum of 135216189388800'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 135216189388800 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 135216189388800 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/135216189388800/
Chicago style:
Numbermatics. 2024. "Number 135216189388800 - Facts about the integer". https://numbermatics.com/n/135216189388800/
The information we have on file for 135216189388800 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 135216189388800, math, Factors of 135216189388800, curriculum, school, college, exams, university, Prime factorization of 135216189388800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five trillion, two hundred sixteen billion, one hundred eighty-nine million, three hundred eighty-eight thousand, eight hundred.