135120380804640
135,120,380,804,640 is an even composite number composed of seven prime numbers multiplied together.
135120380804640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 135120380804640:
25 × 34 × 5 × 7 × 11 × 312 × 140897
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 11 × 31 × 31 × 140897)See below for interesting mathematical facts about the number 135120380804640 from the Numbermatics database.
Names of 135120380804640
- Cardinal: 135120380804640 can be written as One hundred thirty-five trillion, one hundred twenty billion, three hundred eighty million, eight hundred four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3512038080464 × 1014
Factors of 135120380804640
Divisors of 135120380804640
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 31 32 33 35 36 40 42 44 45 48 54 55 56 60 62 63 66 70 72 77 80 81 84 88 90 93 96 99 105 108 110 112 120 124 126 132 135 140 144 154 155 160 162 165 168 176 180 186 189 198 210 216 217 220 224 231 240 248 252 264 270 279 280 288 297 308 310 315 324 330 336 341 352 360 372 378 385 396 405 420 432 434 440 462 465 480 495 496 504 528 540 558 560 567 594 616 620 630 648 651 660 672 682 693 720 744 756 770 792 810 837 840 864 868 880 891 924 930 945 961 990 992 1008 1023 1056 1080 1085 1116 1120 1134 1155 1188 1232 1240 1260 1296 1302 1320 1364 1386 1395 1440 1485 1488 1512 1540 1584 1620 1674 1680 1705 1736 1760 1782 1848 1860 1890 1922 1953 1980 2016 2046 2079 2160 2170 2232 2268 2310 2376 2387 2464 2480 2511 2520 2592 2604 2640 2728 2772 2790 2835 2883 2970 2976 3024 3069 3080 3168 3240 3255 3348 3360 3410 3465 3472 3564 3696 3720 3780 3844 3906 3960 4092 4158 4185 4320 4340 4455 4464 4536 4620 4752 4774 4805 4960 5022 5040 5115 5208 5280 5456 5544 5580 5670 5766 5859 5940 6048 6138 6160 6237 6480 6510 6696 6727 6820 6930 6944 7128 7161 7392 7440 7560 7688 7812 7920 8184 8316 8370 8649 8680 8910 8928 9072 9207 9240 9504 9548 9610 9765 10044 10080 10230 10395 10416 10571 10912 11088 11160 11340 11532 11718 11880 11935 12276 12320 12474 12555 12960 13020 13392 13454 13640 13860 14256 14322 14415 14880 15120 15345 15376 15624 15840 16368 16632 16740 17298 17360 17577 17820 18144 18414 18480 19096 19220 19530 20088 20181 20460 20790 20832 21142 21483 22176 22320 22680 23064 23436 23760 23870 24552 24948 25110 25947 26040 26784 26908 27280 27621 27720 28512 28644 28830 29295 30240 30690 30752 31185 31248 31713 32736 33264 33480 33635 34596 34720 35154 35640 35805 36828 36960 38192 38440 39060 40176 40362 40920 41580 42284 42966 43245 44640 45360 46035 46128 46872 47520 47740 49104 49896 50220 51894 52080 52855 53816 54560 55242 55440 57288 57660 58590 60543 61380 62370 62496 63426 64449 66528 66960 67270 69192 70308 71280 71610 73656 73997 76384 76880 77841 78120 80352 80724 81840 83160 84568 85932 86490 87885 90720 92070 92256 93744 95139 95480 98208 99792 100440 100905 103788 104160 105710 107415 107632 110484 110880 114576 115320 117180 121086 122760 124740 126852 128898 129735 133920 134540 138105 138384 140616 140897 142560 143220 147312 147994 153760 155682 156240 158565 161448 163680 166320 169136 171864 172980 175770 181629 184140 187488 190278 190960 193347 199584 200880 201810 207576 211420 214830 215264 220968 221991 229152 230640 234360 242172 245520 249480 253704 257796 259470 269080 276210 276768 281232 281794 285417 286440 294624 295988 302715 311364 312480 317130 322245 322896 332640 338272 343728 345960 351540 363258 368280 369985 380556 381920 386694 389205 401760 403620 415152 422691 422840 429660 441936 443982 461280 468720 475695 484344 491040 498960 507408 515592 518940 538160 544887 552420 562464 563588 570834 572880 591976 605430 622728 634260 644490 645792 665973 687456 691920 703080 704485 726516 736560 739970 761112 773388 778410 807240 830304 845382 845680 856251 859320 883872 887964 908145 937440 951390 966735 968688 986279 997920 1014816 1031184 1037880 1076320 1089774 1104840 1109955 1127176 1141668 1145760 1183952 1210860 1245456 1268073 1268520 1288980 1331946 1383840 1406160 1408970 1427085 1453032 1473120 1479940 1522224 1546776 1549867 1556820 1614480 1690764 1691360 1712502 1718640 1775928 1816290 1902780 1933470 1937376 1972558 1997919 2062368 2075760 2113455 2179548 2209680 2219910 2254352 2283336 2367904 2421720 2490912 2536146 2537040 2577960 2663892 2724435 2812320 2817940 2854170 2906064 2958837 2959880 3044448 3093552 3099734 3113640 3228960 3329865 3381528 3425004 3437280 3551856 3632580 3804219 3805560 3866940 3945116 3995838 4151520 4226910 4281255 4359096 4367807 4419360 4439820 4508704 4566672 4649601 4843440 4931395 5072292 5074080 5155920 5327784 5448870 5635880 5708340 5812128 5917674 5919760 5993757 6187104 6199468 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5207553120 5381138224 5416080680 5503436820 5660677872 5686884714 5765505240 5858497260 5957688748 6053780502 6093090765 6289642080 6391087920 6486193395 6499296816 6604124184 6695425440 6726422780 6918606288 7030196712 7075847340 7311708918 7337915760 7447110935 7582512952 7687340320 7783432074 7811329680 8071707336 8124121020 8255155230 8530327071 8648257860 8787745890 8805498912 8936533122 9080670753 9373595616 9434463120 9478141190 9748945224 9906186276 10043138160 10089634170 10377909432 10425955309 10762276448 10832161360 10967563377 11006873640 11321355744 11373769428 11531010480 11716994520 11915377496 12107561004 12186181530 12382732845 12782175840 12972386790 12998593632 13208248368 13404799683 13452845560 13837212576 14060393424 14151694680 14217211785 14623417836 14675831520 14894221870 15134451255 15165025904 15566864148 15622659360 16143414672 16248242040 16510310460 17060654142 17296515720 17575491780 17873066244 18161341506 18279272295 18868926240 18956282380 19458580185 19497890448 19812372552 20086276320 20179268340 20755818864 20851910618 21664322720 21935126754 22013747280 22341332805 22747538856 23062020960 23433989040 23830754992 24215122008 24372363060 24765465690 25590981213 25944773580 26416496736 26809599366 26905691120 27242012259 28120786848 28303389360 28434423570 29246835672 29788443740 30268902510 30330051808 31133728296 31277865927 32286829344 32496484080 33020620920 34121308284 34593031440 35150983560 35746132488 36322683012 36558544590 37912564760 38917160370 38995780896 39624745104 40214399049 40358536680 41511637728 41703821236 42651635355 43870253508 44027494560 44682665610 45403353765 45495077712 46867978080 47661509984 48430244016 48744726120 49530931380 51181962426 51889547160 52129776545 53619198732 53811382240 54484024518 54837816885 56606778720 56868847140 58493671344 59576887480 60537805020 62267456592 62555731854 64992968160 66041241840 67023998415 68242616568 69186062880 70301967120 71492264976 72645366024 73117089180 75825129520 76772943639 77834320740 79249490208 80428798098 80717073360 83407642472 85303270710 87740507016 89365331220 90806707530 90990155424 93833597781 96860488032 97489452240 99061862760 102363924852 103779094320 104259553090 107238397464 108968049036 109675633770 113737694280 116987342688 119153774960 120643197147 121075610040 124534913184 125111463708 127954906065 132082483680 134047996830 136210061295 136485233136 140603934240 142984529952 145290732048 146234178360 151650259040 153545887278 155668641480 156389329635 160857596196 161434146720 166815284944 170606541420 175481014032 178730662440 181613415060 187667195562 194978904480 198123725520 201071995245 204727849704 207558188640 208519106180 214476794928 217936098072 219351267540 227475388560 238307549920 241286394294 242151220080 250222927416 255909812130 268095993660 272420122590 272970466272 281500793343 290581464096 292468356720 307091774556 311337282960 312778659270 321715192392 333630569888 341213082840 350962028064 357461324880 363226830120 375334391124 383864718195 396247451040 402143990490 409455699408 417038212360 428953589856 435872196144 438702535080 454950777120 469167988905 482572788588 484302440160 500445854832 511819624260 536191987320 544840245180 563001586686 584936713440 603215985735 614183549112 622674565920 625557318540 643430384784 682426165680 714922649760 726453660240 750668782248 767729436390 804287980980 818911398816 834076424720 844502380029 871744392288 877405070160 938335977810 965145577176 1000891709664 1023639248520 1072383974640 1089680490360 1126003173372 1206431971470 1228367098224 1251114637080 1286860769568 1364852331360 1407503966715 1452907320480 1501337564496 1535458872780 1608575961960 1668152849440 1689004760058 1754810140320 1876671955620 1930291154352 2047278497040 2144767949280 2179360980720 2252006346744 2412863942940 2456734196448 2502229274160 2815007933430 3002675128992 3070917745560 3217151923920 3378009520116 3753343911240 3860582308704 4094556994080 4222511900145 4358721961440 4504012693488 4825727885880 5004458548320 5630015866860 6141835491120 6434303847840 6756019040232 7506687822480 8445023800290 9008025386976 9651455771760 11260031733720 12283670982240 13512038080464 15013375644960 16890047600580 19302911543520 22520063467440 27024076160928 33780095201160 45040126934880 67560190402320 135120380804640
- Sum of all divisors σ(n): 614331069593472
- Sum of proper divisors (its aliquot sum) s(n): 479210688788832
- 135120380804640 is an abundant number, because the sum of its proper divisors (479210688788832) is greater than itself. Its abundance is 344090307984192
Bases of 135120380804640
- Binary: 111101011100100001010100100110010111110001000002
- Hexadecimal: 0x7AE42A4CBE20
- Base-36: 1BW9G20Y00
Squares and roots of 135120380804640
- 135120380804640 squared (1351203808046402) is 18257517308790925773845529600
- 135120380804640 cubed (1351203808046403) is 2466962691311135958459332535520314937344000
-
The
square root of 135120380804640 is 11624129.2493089563 -
The
cube root of 135120380804640 is 51314.5218910443
Scales and comparisons
How big is 135120380804640?- 135,120,380,804,640 seconds is equal to 4,296,410 years, 8 weeks, 8 hours, 24 minutes.
-
To count from 1 to 135,120,380,804,640 would take you about ten million, seven hundred forty-one thousand and twenty-five 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 135120380804640 cubic inches would be around 4276.2 feet tall.
Recreational maths with 135120380804640
- 135120380804640 backwards is 046408083021531
- 135120380804640 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 135120380804640's digits is 45
- More coming soon!
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The information we have on file for 135120380804640 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 135120380804640, math, Factors of 135120380804640, curriculum, school, college, exams, university, Prime factorization of 135120380804640, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five trillion, one hundred twenty billion, three hundred eighty million, eight hundred four thousand, six hundred forty.