135227128838400
135,227,128,838,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 135227128838400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1215 divisors.
135227128838400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred fifteen divisors.
Prime factorization of 135227128838400:
28 × 34 × 52 × 312 × 5212
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 31 × 31 × 521 × 521)See below for interesting mathematical facts about the number 135227128838400 from the Numbermatics database.
Names of 135227128838400
- Cardinal: 135227128838400 can be written as One hundred thirty-five trillion, two hundred twenty-seven billion, one hundred twenty-eight million, eight hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.352271288384 × 1014
Factors of 135227128838400
Divisors of 135227128838400
- Number of divisors d(n): 1215
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 81 90 93 96 100 108 120 124 128 135 144 150 155 160 162 180 186 192 200 216 225 240 248 256 270 279 288 300 310 320 324 360 372 384 400 405 432 450 465 480 496 521 540 558 576 600 620 640 648 675 720 744 768 775 800 810 837 864 900 930 960 961 992 1042 1080 1116 1152 1200 1240 1280 1296 1350 1395 1440 1488 1550 1563 1600 1620 1674 1728 1800 1860 1920 1922 1984 2025 2084 2160 2232 2304 2325 2400 2480 2511 2592 2605 2700 2790 2880 2883 2976 3100 3126 3200 3240 3348 3456 3600 3720 3840 3844 3968 4050 4168 4185 4320 4464 4650 4689 4800 4805 4960 5022 5184 5210 5400 5580 5760 5766 5952 6200 6252 6400 6480 6696 6912 6975 7200 7440 7688 7815 7936 8100 8336 8370 8640 8649 8928 9300 9378 9600 9610 9920 10044 10368 10420 10800 11160 11520 11532 11904 12400 12504 12555 12960 13025 13392 13950 14067 14400 14415 14880 15376 15630 16151 16200 16672 16740 17280 17298 17856 18600 18756 19200 19220 19840 20088 20736 20840 20925 21600 22320 23064 23445 23808 24025 24800 25008 25110 25920 25947 26050 26784 27900 28134 28800 28830 29760 30752 31260 32302 32400 33344 33480 34560 34596 35712 37200 37512 38440 39075 39680 40176 41680 41850 42201 43200 43245 44640 46128 46890 48050 48453 49600 50016 50220 51840 51894 52100 53568 55800 56268 57600 57660 59520 61504 62520 62775 64604 64800 66688 66960 69192 70335 71424 72075 74400 75024 76880 77841 78150 80352 80755 83360 83700 84402 86400 86490 89280 92256 93780 96100 96906 99200 100032 100440 103680 103788 104200 107136 111600 112536 115320 117225 119040 123008 125040 125550 129208 129600 129735 133376 133920 138384 140670 144150 145359 148800 150048 153760 155682 156300 160704 161510 166720 167400 168804 172800 172980 178560 184512 187560 192200 193812 198400 200064 200880 207576 208400 211005 214272 216225 223200 225072 230640 234450 242265 246016 250080 251100 258416 259200 259470 267840 271441 276768 281340 288300 290718 297600 300096 307520 311364 312600 321408 323020 333440 334800 337608 345960 351675 357120 369024 375120 384400 387624 389205 400128 401760 403775 415152 416800 422010 432450 436077 446400 450144 461280 468900 484530 500160 500681 502200 516832 518400 518940 535680 542882 553536 562680 576600 581436 595200 600192 615040 622728 625200 642816 646040 648675 666880 669600 675216 691920 703350 726795 738048 750240 768800 775248 778410 803520 807550 814323 830304 833600 844020 864900 872154 892800 900288 922560 937800 969060 1000320 1001362 1004400 1033664 1037880 1055025 1071360 1085764 1107072 1125360 1153200 1162872 1200384 1211325 1230080 1245456 1250400 1292080 1297350 1308231 1339200 1350432 1357205 1383840 1406700 1453590 1500480 1502043 1537600 1550496 1556820 1607040 1615100 1628646 1660608 1667200 1688040 1729800 1744308 1785600 1800576 1845120 1875600 1938120 1946025 2000640 2002724 2008800 2067328 2075760 2110050 2171528 2180385 2214144 2250720 2306400 2325744 2422650 2442969 2490912 2500800 2503405 2584160 2594700 2616462 2678400 2700864 2714410 2767680 2813400 2907180 3000960 3004086 3075200 3100992 3113640 3214080 3230200 3257292 3321216 3334400 3376080 3459600 3488616 3601152 3633975 3690240 3751200 3876240 3892050 4005448 4017600 4071615 4134656 4151520 4220100 4343056 4360770 4501440 4506129 4612800 4651488 4845300 4885938 4981824 5001600 5006810 5168320 5189400 5232924 5356800 5401728 5428820 5535360 5626800 5814360 6001920 6008172 6150400 6201984 6227280 6460400 6514584 6541155 6642432 6752160 6786025 6919200 6977232 7267950 7328907 7502400 7510215 7752480 7784100 8010896 8035200 8143230 8303040 8414671 8440200 8686112 8721540 9002880 9012258 9225600 9302976 9690600 9771876 9963648 10003200 10013620 10336640 10378800 10465848 10803456 10857640 10901925 11070720 11253600 11628720 12016344 12214845 12403968 12454560 12517025 12920800 13029168 13082310 13504320 13518387 13572050 13838400 13954464 14535900 14657814 15004800 15020430 15504960 15568200 16021792 16070400 16286460 16606080 16829342 16880400 17372224 17443080 18005760 18024516 18451200 18605952 19381200 19543752 19927296 20027240 20358075 20673280 20757600 20931696 21715280 21803850 21986721 22507200 22530645 23257440 24032688 24429690 24909120 25034050 25244013 25841600 26058336 26164620 27008640 27036774 27144100 27676800 27908928 29071800 29315628 30009600 30040860 31009920 31136400 32043584 32572920 32705775 33212160 33658684 33760800 34744448 34886160 36049032 36644535 37211904 37551075 38762400 39087504 40054480 40555161 40716150 41515200 41863392 42073355 43430560 43607700 43973442 45014400 45061290 46514880 48065376 48859380 49818240 50068100 50488026 51683200 52116672 52329240 54017280 54073548 54288200 55353600 55817856 58143600 58631256 60081720 61074225 62019840 62272800 64087168 65145840 65411550 67317368 67521600 67591935 69488896 69772320 72098064 73289070 75102150 75732039 77524800 78175008 80108960 81110322 81432300 83030400 83726784 84146710 86861120 87215400 87946884 90028800 90122580 93029760 96130752 97718760 99636480 100136200 100976052 103366400 104233344 104658480 108147096 108576400 109933605 111635712 112653225 116287200 117262512 120163440 122148450 124545600 126220065 128174336 130291680 130823100 134634736 135043200 135183870 139544640 144196128 146578140 150204300 151464078 155049600 156350016 160217920 162220644 162864600 166060800 167453568 168293420 173722240 174430800 175893768 180245160 183222675 186059520 192261504 195437520 200272400 201952104 202775805 208466688 209316960 210366775 216294192 217152800 219867210 225306450 227196117 232574400 234525024 240326880 244296900 249091200 252440130 260583360 260854801 261646200 269269472 270086400 270367740 279089280 288392256 293156280 300408600 302928156 310099200 312700032 320435840 324441288 325729200 334907136 336586840 337959675 347444480 348861600 351787536 360490320 366445350 378660195 384523008 390875040 400544800 403904208 405551610 418633920 420733550 432588384 434305600 439734420 450612900 454392234 465148800 469050048 480653760 488593800 498182400 504880260 521166720 521709602 523292400 538538944 540735480 549668025 558178560 576784512 586312560 600817200 605856312 625400064 631100325 640871680 648882576 651458400 673173680 675919350 681588351 697723200 703575072 720980640 732890700 757320390 781750080 782564403 801089600 807808416 811103220 837267840 841467100 865176768 868611200 879468840 901225800 908784468 930297600 938100096 961307520 977187600 1009760520 1013879025 1042333440 1043419204 1046584800 1077077888 1081470960 1099336050 1135980585 1153569024 1172625120 1201634400 1211712624 1262200650 1297765152 1302916800 1304274005 1346347360 1351838700 1363176702 1395446400 1407150144 1441961280 1465781400 1514640780 1563500160 1565128806 1602179200 1615616832 1622206440 1674535680 1682934200 1730353536 1737222400 1758937680 1802451600 1817568936 1876200192 1893300975 1922615040 1954375200 2019521040 2027758050 2086838408 2093169600 2154155776 2162941920 2198672100 2271961170 2345250240 2347693209 2403268800 2423425248 2524401300 2595530304 2605833600 2608548010 2692694720 2703677400 2726353404 2790892800 2814300288 2883922560 2931562800 3029281560 3127000320 3130257612 3204358400 3231233664 3244412880 3365868400 3407941755 3460707072 3517875360 3604903200 3635137872 3786601950 3908750400 3912822015 4039042080 4055516100 4173676816 4186339200 4325883840 4397344200 4543922340 4690500480 4695386418 4806537600 4846850496 5048802600 5191060608 5211667200 5217096020 5385389440 5407354800 5452706808 5628600576 5679902925 5767845120 5863125600 6058563120 6260515224 6462467328 6488825760 6521370025 6731736800 6815883510 7035750720 7043079627 7209806400 7270275744 7573203900 7817500800 7825644030 8078084160 8111032200 8347353632 8372678400 8651767680 8794688400 9087844680 9381000960 9390772836 9613075200 9693700992 10097605200 10382121216 10434192040 10770778880 10814709600 10905413616 11359805850 11726251200 11738466045 12117126240 12521030448 12977651520 13042740050 13463473600 13631767020 14071501440 14086159254 14419612800 14540551488 15146407800 15635001600 15651288060 16156168320 16222064400 16694707264 17039708775 17303535360 17589376800 18175689360 18781545672 19387401984 19564110075 20195210400 20868384080 21129238881 21629419200 21810827232 22719611700 23452502400 23476932090 24234252480 25042060896 25955303040 26085480100 26926947200 27263534040 28143002880 28172318508 28839225600 29081102976 30292815600 31302576120 32312336640 32444128800 33389414528 34079417550 35178753600 35215398135 36351378720 37563091344 39128220150 40390420800 41736768160 42258477762 43258838400 43621654464 45439223400 46905004800 46953864180 48468504960 50084121792 51910606080 52170960200 53853894400 54527068080 56344637016 58162205952 58692330225 60585631200 62605152240 64888257600 66778829056 68158835100 70357507200 70430796270 72702757440 75126182688 78256440300 80780841600 83473536320 84516955524 86517676800 87243308928 90878446800 93907728360 96937009920 100168243584 104341920400 105646194405 109054136160 112689274032 117384660450 121171262400 125210304480 129776515200 136317670200 140715014400 140861592540 145405514880 150252365376 156512880600 161561683200 166947072640 169033911048 174486617856 176076990675 181756893600 187815456720 200336487168 208683840800 211292388810 218108272320 225378548064 234769320900 242342524800 250420608960 259553030400 272635340400 281723185080 290811029760 300504730752 313025761200 333894145280 338067822096 352153981350 363513787200 375630913440 417367681600 422584777620 436216544640 450757096128 469538641800 484685049600 500841217920 528230972025 545270680800 563446370160 601009461504 626051522400 676135644192 704307962700 727027574400 751261826880 834735363200 845169555240 872433089280 901514192256 939077283600 1001682435840 1056461944050 1090541361600 1126892740320 1252103044800 1352271288384 1408615925400 1454055148800 1502523653760 1669470726400 1690339110480 1803028384512 1878154567200 2112923888100 2181082723200 2253785480640 2504206089600 2704542576768 2817231850800 3005047307520 3380678220960 3756309134400 4225847776200 4362165446400 4507570961280 5008412179200 5409085153536 5634463701600 6761356441920 7512618268800 8451695552400 9015141922560 11268927403200 13522712883840 15025236537600 16903391104800 22537854806400 27045425767680 33806782209600 45075709612800 67613564419200 135227128838400
- Sum of all divisors σ(n): 517639055340099
- Sum of proper divisors (its aliquot sum) s(n): 382411926501699
- 135227128838400 is an abundant number, because the sum of its proper divisors (382411926501699) is greater than itself. Its abundance is 247184797663299
Bases of 135227128838400
- Binary: 111101011111101000001001111101001111001000000002
- Hexadecimal: 0x7AFD04FA7900
- Base-36: 1BXMHH1S00
Squares and roots of 135227128838400
- 135227128838400 squared (1352271288384002) is 18286376373877232933314560000
- 135227128838400 cubed (1352271288384003) is 2472814173897770386017815560674607104000000
-
135227128838400 is a
perfect square number . Itssquare root is 11628720 -
The
cube root of 135227128838400 is 51328.0315294085
Scales and comparisons
How big is 135227128838400?- 135,227,128,838,400 seconds is equal to 4,299,804 years, 21 weeks, 3 days.
-
To count from 1 to 135,227,128,838,400 would take you about ten million, seven hundred forty-nine thousand, five hundred eleven 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 135227128838400 cubic inches would be around 4277.3 feet tall.
Recreational maths with 135227128838400
- 135227128838400 backwards is 004838821722531
- 135227128838400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135227128838400's digits is 54
- 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 135227128838400 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
APA style:
Numbermatics. (2024). Number 135227128838400 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/135227128838400/
Chicago style:
Numbermatics. 2024. "Number 135227128838400 - Facts about the integer". https://numbermatics.com/n/135227128838400/
The information we have on file for 135227128838400 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 135227128838400, math, Factors of 135227128838400, curriculum, school, college, exams, university, Prime factorization of 135227128838400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five trillion, two hundred twenty-seven billion, one hundred twenty-eight million, eight hundred thirty-eight thousand, four hundred.