135768713457498240
135,768,713,457,498,240 is an even composite number composed of six prime numbers multiplied together.
135768713457498240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 135768713457498240:
27 × 3 × 5 × 7 × 192 × 4094
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 19 × 19 × 409 × 409 × 409 × 409)See below for interesting mathematical facts about the number 135768713457498240 from the Numbermatics database.
Names of 135768713457498240
- Cardinal: 135768713457498240 can be written as One hundred thirty-five quadrillion, seven hundred sixty-eight trillion, seven hundred thirteen billion, four hundred fifty-seven million, four hundred ninety-eight thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3576871345749824 × 1017
Factors of 135768713457498240
Divisors of 135768713457498240
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 32 35 38 40 42 48 56 57 60 64 70 76 80 84 95 96 105 112 114 120 128 133 140 152 160 168 190 192 210 224 228 240 266 280 285 304 320 336 361 380 384 399 409 420 448 456 480 532 560 570 608 640 665 672 722 760 798 818 840 896 912 960 1064 1083 1120 1140 1216 1227 1330 1344 1444 1520 1596 1636 1680 1805 1824 1920 1995 2045 2128 2166 2240 2280 2432 2454 2527 2660 2688 2863 2888 3040 3192 3272 3360 3610 3648 3990 4090 4256 4332 4480 4560 4908 5054 5320 5415 5726 5776 6080 6135 6384 6544 6720 7220 7296 7581 7771 7980 8180 8512 8589 8664 9120 9816 10108 10640 10830 11452 11552 12160 12270 12635 12768 13088 13440 14315 14440 15162 15542 15960 16360 17024 17178 17328 18240 19632 20216 21280 21660 22904 23104 23313 24540 25270 25536 26176 28630 28880 30324 31084 31920 32720 34356 34656 36480 37905 38855 39264 40432 42560 42945 43320 45808 46208 46626 49080 50540 51072 52352 54397 57260 57760 60648 62168 63840 65440 68712 69312 75810 77710 78528 80864 85120 85890 86640 91616 93252 98160 101080 108794 114520 115520 116565 121296 124336 127680 130880 137424 138624 147649 151620 155420 157056 161728 163191 167281 171780 173280 183232 186504 196320 202160 217588 229040 231040 233130 242592 248672 255360 261760 271985 274848 295298 303240 310840 323456 326382 334562 343560 346560 366464 373008 392640 404320 435176 442947 458080 466260 485184 497344 501843 543970 549696 590596 606480 621680 652764 669124 687120 693120 738245 746016 785280 808640 815955 836405 870352 885894 916160 932520 970368 994688 1003686 1033543 1087940 1099392 1170967 1181192 1212960 1243360 1305528 1338248 1374240 1476490 1492032 1617280 1631910 1672810 1740704 1771788 1832320 1865040 2007372 2067086 2175880 2214735 2341934 2362384 2425920 2486720 2509215 2611056 2676496 2748480 2952980 2984064 3100629 3178339 3263820 3345620 3481408 3512901 3543576 3730080 4014744 4134172 4351760 4429470 4683868 4724768 4851840 4973440 5018430 5167715 5222112 5352992 5496960 5854835 5905960 6201258 6356678 6527640 6691240 6962816 7025802 7087152 7460160 8029488 8268344 8703520 8858940 9367736 9449536 9535017 10036860 10335430 10444224 10705984 11709670 11811920 12402516 12713356 13055280 13382480 14051604 14174304 14920320 15503145 15891695 16058976 16536688 17407040 17564505 17717880 18735472 18899072 19070034 20073720 20670860 20888448 21411968 22248373 23419340 23623840 24805032 25426712 26110560 26764960 28103208 28348608 31006290 31783390 32117952 33073376 34814080 35129010 35435760 37470944 38140068 40147440 41341720 44496746 46838680 47247680 47675085 49610064 50853424 52221120 53529920 56206416 56697216 60388441 62012580 63566780 64235904 66146752 66745119 68417929 70258020 70871520 74941888 76280136 80294880 82683440 88993492 93677360 94495360 95350170 99220128 101706848 104442240 107059840 111241865 112412832 120776882 124025160 127133560 132293504 133490238 136835858 140516040 141743040 149883776 152560272 160589760 165366880 177986984 181165323 187354720 190700340 198440256 203413696 205253787 222483730 224825664 241553764 248050320 254267120 266980476 273671716 281032080 283486080 301942205 305120544 321179520 330733760 333725595 342089645 355973968 362330646 374709440 381400680 396880512 406827392 410507574 422719087 444967460 449651328 478925503 483107528 496100640 508534240 533960952 547343432 562064160 603884410 610241088 661467520 667451190 684179290 711947936 724661292 749418880 762801360 821015148 845438174 889934920 905826615 957851006 966215056 992201280 1017068480 1026268935 1067921904 1094686864 1124128320 1207768820 1220482176 1268157261 1299940651 1334902380 1368358580 1423895872 1436776509 1449322584 1525602720 1642030296 1690876348 1779869840 1811653230 1915702012 1932430112 1984402560 2034136960 2052537870 2113595435 2135843808 2189373728 2248256640 2394627515 2415537640 2536314522 2599881302 2669804760 2736717160 2847791744 2873553018 2898645168 3051205440 3284060592 3381752696 3559739680 3623306460 3831404024 3864860224 3899821953 4105075740 4227190870 4271687616 4378747456 4789255030 4831075280 5072629044 5199762604 5339609520 5473434320 5747106036 5797290336 6102410880 6340786305 6499703255 6568121184 6763505392 7119479360 7183882545 7246612920 7662808048 7729720448 7799643906 8210151480 8454381740 8543375232 8757494912 9099584557 9578510060 9662150560 10145258088 10399525208 10679219040 10946868640 11494212072 11594580672 12681572610 12999406510 13136242368 13527010784 14238958720 14367765090 14493225840 15325616096 15599287812 16420302960 16908763480 18199169114 19157020120 19324301120 19499109765 20290516176 20799050416 21358438080 21893737280 22988424144 23189161344 24698872369 25363145220 25998813020 26272484736 27054021568 27298753671 27982932961 28735530180 28986451680 30651232192 31198575624 32840605920 33817526960 36398338228 38314040240 38648602240 38998219530 40581032352 41598100832 42716876160 43787474560 45497922785 45976848288 49397744738 50726290440 51997626040 54108043136 54597507342 55965865922 57471060360 57972903360 61302464384 62397151248 65681211840 67635053920 72796676456 74096617107 76628080480 77996439060 81162064704 83196201664 83948798883 90995845570 91953696576 98795489476 101452580880 103995252080 109195014684 111931731844 114942120720 115945806720 123494361845 124794302496 131362423680 135270107840 136493768355 139914664805 145593352912 148193234214 153256160960 155992878120 162324129408 166392403328 167897597766 172892106583 181991691140 183907393152 195880530727 197590978952 202905161760 207990504160 218390029368 223863463688 229884241440 246988723690 249588604992 270540215680 272987536710 279829329610 291186705824 296386468428 306512321920 311985756240 335795195532 345784213166 363983382280 370483085535 391761061454 395181957904 405810323520 415981008320 419743994415 436780058736 447726927376 459768482880 493977447380 499177209984 518676319749 531675726259 545975073420 559658659220 582373411648 587641592181 592772936856 623971512480 671590391064 691568426332 727966764560 740966171070 783522122908 790363915808 811620647040 831962016640 839487988830 864460532915 873560117472 895453854752 919536965760 979402653635 987954894760 1037352639498 1063351452518 1091950146840 1119317318440 1164746823296 1175283184362 1185545873712 1247943024960 1343180782128 1383136852664 1455933529120 1481932342140 1567044245816 1580727831616 1595027178777 1678975977660 1728921065830 1747120234944 1790907709504 1958805307270 1975909789520 2074705278996 2126702905036 2183900293680 2238634636880 2350566368724 2371091747424 2495886049920 2593381598745 2658378631295 2686361564256 2766273705328 2911867058240 2938207960905 2963864684280 3134088491632 3161455663232 3190054357554 3357951955320 3457842131660 3494240469888 3581815419008 3721730083813 3917610614540 3951819579040 4149410557992 4253405810072 4367800587360 4477269273760 4701132737448 4742183494848 5186763197490 5316757262590 5372723128512 5532547410656 5823734116480 5876415921810 5927729368560 6268176983264 6380108715108 6715903910640 6915684263320 7443460167626 7835221229080 7903639158080 7975135893885 8298821115984 8506811620144 8735601174720 8954538547520 9402265474896 9484366989696 10101838798921 10373526394980 10633514525180 10745446257024 11065094821312 11165190251439 11752831843620 11855458737120 12536353966528 12760217430216 13431807821280 13831368526640 14886920335252 15670442458160 15807278316160 15950271787770 16597642231968 17013623240288 17471202349440 17909077095040 18608650419065 18804530949792 20203677597842 20747052789960 21267029050360 22130189642624 22330380502878 23505663687240 23710917474240 25072707933056 25520434860432 26863615642560 27662737053280 29773840670504 30305516396763 31340884916320 31900543575540 33195284463936 34027246480576 37217300838130 37609061899584 40407355195684 41494105579920 42534058100720 44660761005756 47011327374480 47421834948480 50509193994605 51040869720864 53727231285120 55325474106560 55825951257195 59547681341008 60611032793526 62681769832640 63801087151080 66390568927872 68054492961152 70712871592447 74434601676260 75218123799168 80814710391368 82988211159840 85068116201440 89321522011512 94022654748960 101018387989210 102081739441728 110650948213120 111651902514390 119095362682016 121222065587052 125363539665280 127602174302160 141425743184894 148869203352520 151527581983815 161629420782736 165976422319680 170136232402880 178643044023024 188045309497920 202036775978420 204163478883456 212138614777341 223303805028780 238190725364032 242444131174104 255204348604320 282851486369788 297738406705040 303055163967630 323258841565472 331952844639360 340272464805760 353564357962235 357286088046048 376090618995840 404073551956840 424277229554682 446607610057560 476381450728064 484888262348208 510408697208640 565702972739576 595476813410080 606110327935260 646517683130944 707128715924470 714572176092096 808147103913680 848554459109364 893215220115120 969776524696416 1020817394417280 1060693073886705 1131405945479152 1190953626820160 1212220655870520 1293035366261888 1414257431848940 1429144352184192 1616294207827360 1697108918218728 1786430440230240 1939553049392832 2121386147773410 2262811890958304 2381907253640320 2424441311741040 2828514863697880 3232588415654720 3394217836437456 3572860880460480 3879106098785664 4242772295546820 4525623781916608 4848882623482080 5657029727395760 6465176831309440 6788435672874912 7145721760920960 8485544591093640 9051247563833216 9697765246964160 11314059454791520 13576871345749824 16971089182187280 19395530493928320 22628118909583040 27153742691499648 33942178364374560 45256237819166080 67884356728749120 135768713457498240
- Sum of all divisors σ(n): 523266295245514560
- Sum of proper divisors (its aliquot sum) s(n): 387497581788016320
- 135768713457498240 is an abundant number, because the sum of its proper divisors (387497581788016320) is greater than itself. Its abundance is 251728868330518080
Bases of 135768713457498240
- Binary: 1111000100101100011101100111100010011111011111000100000002
- Hexadecimal: 0x1E258ECF13EF880
- Base-36: 114TZPX0AK5C
Squares and roots of 135768713457498240
- 135768713457498240 squared (1357687134574982402) is 18433143553904263698434879603097600
- 135768713457498240 cubed (1357687134574982403) is 2502644185290958741127669488552360138417850548224000
-
The
square root of 135768713457498240 is 368468063.0088559519 -
The
cube root of 135768713457498240 is 513964.6317237099
Scales and comparisons
How big is 135768713457498240?- 135,768,713,457,498,240 seconds is equal to 4,317,025,127 years, 38 weeks, 4 days, 19 hours, 44 minutes.
-
To count from 1 to 135,768,713,457,498,240 would take you about twelve billion, nine hundred fifty-one million, seventy-five thousand, three hundred eighty-three 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 135768713457498240 cubic inches would be around 42830.4 feet tall.
Recreational maths with 135768713457498240
- 135768713457498240 backwards is 042894754317867531
- 135768713457498240 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 135768713457498240's digits is 84
- More coming soon!
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The information we have on file for 135768713457498240 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 135768713457498240, math, Factors of 135768713457498240, curriculum, school, college, exams, university, Prime factorization of 135768713457498240, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five quadrillion, seven hundred sixty-eight trillion, seven hundred thirteen billion, four hundred fifty-seven million, four hundred ninety-eight thousand, two hundred forty.