135216401328000
135,216,401,328,000 is an even composite number composed of five prime numbers multiplied together.
135216401328000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 135216401328000:
27 × 37 × 53 × 41 × 3072
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 41 × 307 × 307)See below for interesting mathematical facts about the number 135216401328000 from the Numbermatics database.
Names of 135216401328000
- Cardinal: 135216401328000 can be written as One hundred thirty-five trillion, two hundred sixteen billion, four hundred one million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.35216401328 × 1014
Factors of 135216401328000
Divisors of 135216401328000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 41 45 48 50 54 60 64 72 75 80 81 82 90 96 100 108 120 123 125 128 135 144 150 160 162 164 180 192 200 205 216 225 240 243 246 250 270 288 300 307 320 324 328 360 369 375 384 400 405 410 432 450 480 486 492 500 540 576 600 614 615 640 648 656 675 720 729 738 750 800 810 820 864 900 921 960 972 984 1000 1025 1080 1107 1125 1152 1200 1215 1228 1230 1296 1312 1350 1440 1458 1476 1500 1535 1600 1620 1640 1728 1800 1842 1845 1920 1944 1968 2000 2025 2050 2160 2187 2214 2250 2400 2430 2456 2460 2592 2624 2700 2763 2880 2916 2952 3000 3070 3075 3200 3240 3280 3321 3375 3456 3600 3645 3684 3690 3888 3936 4000 4050 4100 4320 4374 4428 4500 4605 4800 4860 4912 4920 5125 5184 5248 5400 5526 5535 5760 5832 5904 6000 6075 6140 6150 6480 6560 6642 6750 7200 7290 7368 7380 7675 7776 7872 8000 8100 8200 8289 8640 8748 8856 9000 9210 9225 9600 9720 9824 9840 9963 10125 10250 10368 10800 10935 11052 11070 11664 11808 12000 12150 12280 12300 12587 12960 13120 13284 13500 13815 14400 14580 14736 14760 15350 15375 15552 15744 16000 16200 16400 16578 16605 17280 17496 17712 18000 18225 18420 18450 19440 19648 19680 19926 20250 20500 21600 21870 22104 22140 23025 23328 23616 24000 24300 24560 24600 24867 25174 25920 26240 26568 27000 27630 27675 28800 29160 29472 29520 29889 30375 30700 30750 31104 32400 32800 33156 33210 34992 35424 36000 36450 36840 36900 37761 38375 38880 39296 39360 39852 40500 41000 41445 43200 43740 44208 44280 46050 46125 46656 47232 48000 48600 49120 49200 49734 49815 50348 51840 53136 54000 54675 55260 55350 58320 58944 59040 59778 60750 61400 61500 62935 64800 65600 66312 66420 69075 69984 70848 72000 72900 73680 73800 74601 75522 76750 77760 78720 79704 81000 82000 82890 83025 86400 87480 88416 88560 89667 91125 92100 92250 93312 94249 97200 98240 98400 99468 99630 100696 106272 108000 109350 110520 110700 113283 115125 116640 117888 118080 119556 121500 122800 123000 124335 125870 129600 131200 132624 132840 138150 138375 139968 141696 144000 145800 147360 147600 149202 149445 151044 153500 155520 159408 162000 164000 165780 166050 174960 176832 177120 179334 182250 184200 184500 188498 188805 194400 196480 196800 198936 199260 201392 207225 212544 216000 218700 221040 221400 223803 226566 230250 233280 236160 239112 243000 245600 246000 248670 249075 251740 259200 265248 265680 273375 276300 276750 279936 282747 291600 294720 295200 298404 298890 302088 307000 314675 318816 324000 328000 331560 332100 339849 345375 349920 353664 354240 358668 364500 368400 369000 373005 376996 377610 388800 393600 397872 398520 402784 414450 415125 425088 432000 437400 442080 442800 447606 448335 453132 460500 466560 471245 478224 486000 491200 492000 497340 498150 503480 530496 531360 546750 552600 553500 565494 566415 583200 589440 590400 596808 597780 604176 614000 621675 629350 637632 648000 656000 663120 664200 671409 679698 690750 699840 708480 717336 729000 736800 738000 746010 747225 753992 755220 777600 795744 797040 805568 828900 830250 848241 874800 884160 885600 895212 896670 906264 921000 942490 944025 956448 972000 982400 984000 994680 996300 1006960 1019547 1036125 1060992 1062720 1093500 1105200 1107000 1119015 1130988 1132830 1166400 1180800 1193616 1195560 1208352 1228000 1243350 1245375 1258700 1275264 1296000 1326240 1328400 1342818 1359396 1381500 1399680 1413735 1434672 1458000 1473600 1476000 1492020 1494450 1507984 1510440 1573375 1591488 1594080 1611136 1657800 1660500 1696482 1699245 1749600 1768320 1771200 1790424 1793340 1812528 1842000 1865025 1884980 1888050 1912896 1944000 1968000 1989360 1992600 2013920 2039094 2072250 2125440 2187000 2210400 2214000 2238030 2241675 2261976 2265660 2332800 2356225 2387232 2391120 2416704 2456000 2486700 2490750 2517400 2544723 2652480 2656800 2685636 2718792 2763000 2827470 2832075 2869344 2916000 2947200 2952000 2984040 2988900 3015968 3020880 3058641 3108375 3146750 3182976 3188160 3315600 3321000 3357045 3392964 3398490 3499200 3542400 3580848 3586680 3625056 3684000 3730050 3736125 3769960 3776100 3825792 3864209 3888000 3978720 3985200 4027840 4078188 4144500 4241205 4374000 4420800 4428000 4476060 4483350 4523952 4531320 4712450 4720125 4774464 4782240 4833408 4912000 4973400 4981500 5034800 5089446 5097735 5304960 5313600 5371272 5437584 5526000 5595075 5654940 5664150 5738688 5832000 5904000 5968080 5977800 6031936 6041760 6117282 6216750 6293500 6376320 6631200 6642000 6714090 6785928 6796980 6998400 7068675 7161696 7173360 7250112 7368000 7460100 7472250 7539920 7552200 7634169 7728418 7957440 7970400 8055680 8156376 8289000 8482410 8496225 8748000 8841600 8856000 8952120 8966700 9047904 9062640 9175923 9325125 9424900 9440250 9548928 9564480 9946800 9963000 10069600 10178892 10195470 10627200 10742544 10875168 11052000 11190150 11208375 11309880 11328300 11477376 11592627 11664000 11781125 11936160 11955600 12063872 12083520 12234564 12433500 12587000 12723615 13262400 13284000 13428180 13571856 13593960 14137350 14160375 14323392 14346720 14500224 14736000 14920200 14944500 15079840 15104400 15268338 15293205 15456836 15914880 15940800 16312752 16578000 16785225 16964820 16992450 17496000 17712000 17904240 17933400 18095808 18125280 18351846 18650250 18849800 18880500 19128960 19321045 19893600 19926000 20139200 20357784 20390940 21206025 21485088 21750336 22104000 22380300 22416750 22619760 22656600 22902507 23185254 23562250 23872320 23911200 24167040 24469128 24867000 25174000 25447230 25488675 26524800 26568000 26856360 27143712 27187920 27527769 27975375 28274700 28320750 28646784 28693440 29840400 29889000 30159680 30208800 30536676 30586410 30913672 31881600 32625504 33156000 33570450 33929640 33984900 34777881 34992000 35343375 35808480 35866800 36191616 36250560 36703692 37300500 37699600 37761000 38170845 38642090 39787200 39852000 40278400 40715568 40781880 42412050 42481125 42970176 43500672 44208000 44760600 44833500 45239520 45313200 45805014 45879615 46370508 47124500 47744640 47822400 48938256 49734000 50348000 50894460 50977350 53136000 53712720 54287424 54375840 55055538 55950750 56549400 56641500 57386880 57963135 59680800 59778000 60319360 60417600 61073352 61172820 61827344 63618075 65251008 66312000 67140900 67859280 67969800 68707521 69555762 70686750 71616960 71733600 72501120 73407384 74601000 75399200 75522000 76341690 76466025 77284180 79574400 79704000 81431136 81563760 83926125 84824100 84962250 85940352 89521200 89667000 90479040 90626400 91610028 91759230 92741016 94249000 95644800 96605225 97876512 99468000 100696000 101788920 101954700 104333643 106030125 107425440 108574848 108751680 110111076 111901500 113098800 113283000 114512535 115926270 119361600 119556000 120835200 122146704 122345640 123654688 127236150 127443375 130502016 132624000 134281800 135718560 135939600 137415042 137638845 139111524 141373500 143233920 143467200 146814768 149202000 150798400 151044000 152683380 152932050 154568360 159408000 162862272 163127520 167852250 169648200 169924500 173889405 179042400 179334000 180958080 181252800 183220056 183518460 185482032 188498000 190854225 193210450 195753024 198936000 201392000 203577840 203909400 206122563 208667286 212060250 214850880 217503360 220222152 223803000 226197600 226566000 229025070 229398075 231852540 238723200 239112000 244293408 244691280 247309376 254472300 254886750 268563600 271437120 271879200 274830084 275277690 278223048 282747000 286934400 289815675 293629536 298404000 301596800 302088000 305366760 305864100 309136720 313000929 318090375 325724544 326255040 335704500 339296400 339849000 343537605 347778810 358084800 358668000 362505600 366440112 367036920 370964064 376996000 381708450 382330125 386420900 391506048 397872000 407155680 407818800 412245126 417334572 424120500 429701760 440444304 447606000 452395200 453132000 458050140 458796150 463705080 478224000 483026125 488586816 489382560 494618752 508944600 509773500 521668215 537127200 542874240 543758400 549660168 550555380 556446096 565494000 572562675 579631350 587259072 596808000 604176000 610733520 611728200 618273440 626001858 636180750 652510080 671409000 678592800 679698000 687075210 688194225 695557620 716169600 717336000 732880224 734073840 741928128 753992000 763416900 764660250 772841800 814311360 815637600 824490252 834669144 848241000 869447025 880888608 895212000 904790400 906264000 916100280 917592300 927410160 939002787 954271125 966052250 977173632 978765120 1017889200 1019547000 1030612815 1043336430 1074254400 1087516800 1099320336 1101110760 1112892192 1130988000 1145125350 1146990375 1159262700 1174518144 1193616000 1221467040 1223456400 1236546880 1252003716 1272361500 1342818000 1357185600 1359396000 1374150420 1376388450 1391115240 1434672000 1449078375 1465760448 1468147680 1483856256 1507984000 1526833800 1529320500 1545683600 1565004645 1628622720 1631275200 1648980504 1669338288 1696482000 1717688025 1738894050 1761777216 1790424000 1812528000 1832200560 1835184600 1854820320 1878005574 1908542250 1932104500 1957530240 2035778400 2039094000 2061225630 2086672860 2148508800 2198640672 2202221520 2225784384 2261976000 2290250700 2293980750 2318525400 2442934080 2446912800 2473093760 2504007432 2544723000 2608341075 2685636000 2714371200 2718792000 2748300840 2752776900 2782230480 2817008361 2862813375 2898156750 2931520896 2936295360 3053667600 3058641000 3091367200 3130009290 3262550400 3297961008 3338676576 3392964000 3435376050 3440971125 3477788100 3523554432 3580848000 3664401120 3670369200 3709640640 3756011148 3817084500 3864209000 4071556800 4078188000 4122451260 4173345720 4347235125 4397281344 4404443040 4451568768 4523952000 4580501400 4587961500 4637050800 4695013935 4885868160 4893825600 5008014864 5089446000 5153064075 5216682150 5371272000 5437584000 5496601680 5505553800 5564460960 5634016722 5725626750 5796313500 5872590720 6107335200 6117282000 6182734400 6260018580 6595922016 6677353152 6785928000 6870752100 6881942250 6955576200 7328802240 7340738400 7419281280 7512022296 7634169000 7728418000 7825023225 8143113600 8156376000 8244902520 8346691440 8451025083 8588440125 8694470250 8794562688 8808886080 9161002800 9175923000 9274101600 9390027870 9787651200 10016029728 10178892000 10306128150 10433364300 10742544000 10993203360 11011107600 11128921920 11268033444 11451253500 11592627000 12214670400 12234564000 12365468800 12520037160 13041705375 13191844032 13354706304 13571856000 13741504200 13763884500 13911152400 14085041805 14657604480 14681476800 15024044592 15268338000 15456836000 15650046450 16312752000 16489805040 16693382880 16902050166 17176880250 17388940500 17617772160 18322005600 18351846000 18548203200 18780055740 20032059456 20357784000 20612256300 20866728600 21986406720 22022215200 22257843840 22536066888 22902507000 23185254000 23475069675 24429340800 24469128000 25040074320 25765320375 26083410750 26383688064 27483008400 27527769000 27822304800 28170083610 29362953600 30048089184 30536676000 30913672000 31300092900 32979610080 33386765760 33804100332 34353760500 34777881000 36644011200 36703692000 37096406400 37560111480 39125116125 40064118912 40715568000 41224512600 41733457200 42255125415 43972813440 44044430400 45072133776 45805014000 46370508000 46950139350 48938256000 50080148640 51530640750 52166821500 54966016800 55055538000 55644609600 56340167220 60096178368 61073352000 61827344000 62600185800 65959220160 66773531520 67608200664 68707521000 69555762000 70425209025 73288022400 73407384000 75120222960 78250232250 82449025200 83466914400 84510250830 88088860800 90144267552 91610028000 92741016000 93900278700 100160297280 103061281500 104333643000 109932033600 110111076000 111289219200 112680334440 117375348375 120192356736 122146704000 125200371600 131918440320 135216401328 137415042000 139111524000 140850418050 146814768000 150240445920 156500464500 164898050400 166933828800 169020501660 180288535104 183220056000 185482032000 187800557400 200320594560 206122563000 208667286000 211275627075 219864067200 220222152000 225360668880 234750696750 250400743200 270432802656 274830084000 278223048000 281700836100 300480891840 313000929000 329796100800 333867657600 338041003320 352126045125 360577070208 366440112000 375601114800 412245126000 417334572000 422551254150 440444304000 450721337760 469501393500 500801486400 540865605312 549660168000 556446096000 563401672200 600961783680 626001858000 659592201600 676082006640 704252090250 751202229600 824490252000 834669144000 845102508300 901442675520 939002787000 1001602972800 1056378135375 1081731210624 1099320336000 1126803344400 1252003716000 1352164013280 1408504180500 1502404459200 1648980504000 1669338288000 1690205016600 1802885351040 1878005574000 2112756270750 2253606688800 2504007432000 2704328026560 2817008361000 3004808918400 3297961008000 3380410033200 3756011148000 4225512541500 4507213377600 5008014864000 5408656053120 5634016722000 6760820066400 7512022296000 8451025083000 9014426755200 11268033444000 13521640132800 15024044592000 16902050166000 22536066888000 27043280265600 33804100332000 45072133776000 67608200664000 135216401328000
- Sum of all divisors σ(n): 518181134889600
- Sum of proper divisors (its aliquot sum) s(n): 382964733561600
- 135216401328000 is an abundant number, because the sum of its proper divisors (382964733561600) is greater than itself. Its abundance is 247748332233600
Bases of 135216401328000
- Binary: 111101011111010100001011001000110100111100000002
- Hexadecimal: 0x7AFA8591A780
- Base-36: 1BXHK26000
Squares and roots of 135216401328000
- 135216401328000 squared (1352164013280002) is 18283475188094760163584000000
- 135216401328000 cubed (1352164013280003) is 2472225718703951377973081074839552000000000
-
The
square root of 135216401328000 is 11628258.7401553807 -
The
cube root of 135216401328000 is 51326.6742165735
Scales and comparisons
How big is 135216401328000?- 135,216,401,328,000 seconds is equal to 4,299,463 years, 16 weeks, 1 day.
-
To count from 1 to 135,216,401,328,000 would take you about ten million, seven hundred forty-eight thousand, six hundred fifty-eight 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 135216401328000 cubic inches would be around 4277.2 feet tall.
Recreational maths with 135216401328000
- 135216401328000 backwards is 000823104612531
- 135216401328000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135216401328000's digits is 36
- More coming soon!
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The information we have on file for 135216401328000 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 135216401328000, math, Factors of 135216401328000, curriculum, school, college, exams, university, Prime factorization of 135216401328000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five trillion, two hundred sixteen billion, four hundred one million, three hundred twenty-eight thousand.