135352982692674057938400
135,352,982,692,674,057,938,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 135352982692674057938400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
135352982692674057938400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 135352982692674057938400:
25 × 32 × 52 × 41 × 59 × 3463 × 2244124639651
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 41 × 59 × 3463 × 2244124639651)See below for interesting mathematical facts about the number 135352982692674057938400 from the Numbermatics database.
Names of 135352982692674057938400
- Cardinal: 135352982692674057938400 can be written as One hundred thirty-five sextillion, three hundred fifty-two quintillion, nine hundred eighty-two quadrillion, six hundred ninety-two trillion, six hundred seventy-four billion, fifty-seven million, nine hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.353529826926740579384 × 1023
Factors of 135352982692674057938400
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 2244124643224
Divisors of 135352982692674057938400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 41 45 48 50 59 60 72 75 80 82 90 96 100 118 120 123 144 150 160 164 177 180 200 205 225 236 240 246 288 295 300 328 354 360 369 400 410 450 472 480 492 531 590 600 615 656 708 720 738 800 820 885 900 944 984 1025 1062 1180 1200 1230 1312 1416 1440 1475 1476 1640 1770 1800 1845 1888 1968 2050 2124 2360 2400 2419 2460 2655 2832 2950 2952 3075 3280 3463 3540 3600 3690 3936 4100 4248 4425 4720 4838 4920 5310 5664 5900 5904 6150 6560 6926 7080 7200 7257 7380 8200 8496 8850 9225 9440 9676 9840 10389 10620 11800 11808 12095 12300 13275 13852 14160 14514 14760 16400 16992 17315 17700 18450 19352 19680 20778 21240 21771 23600 24190 24600 26550 27704 28320 29028 29520 31167 32800 34630 35400 36285 36900 38704 41556 42480 43542 47200 48380 49200 51945 53100 55408 58056 59040 60475 62334 69260 70800 72570 73800 77408 83112 84960 86575 87084 96760 98400 103890 106200 108855 110816 116112 120950 124668 138520 141600 141983 145140 147600 155835 166224 173150 174168 181425 193520 204317 207780 212400 217710 232224 241900 249336 259725 277040 283966 290280 295200 311670 332448 346300 348336 362850 387040 408634 415560 424800 425949 435420 483800 498672 519450 544275 554080 567932 580560 612951 623340 692600 696672 709915 725700 779175 817268 831120 851898 870840 967600 997344 1021585 1038900 1088550 1135864 1161120 1225902 1246680 1277847 1385200 1419830 1451400 1558350 1634536 1662240 1703796 1741680 1838853 1935200 2043170 2077800 2129745 2177100 2271728 2451804 2493360 2555694 2770400 2839660 2902800 3064755 3116700 3269072 3407592 3483360 3549575 3677706 4086340 4155600 4259490 4354200 4543456 4903608 4986720 5107925 5111388 5679320 5805600 6129510 6233400 6389235 6538144 6815184 7099150 7355412 8172680 8311200 8376997 8518980 8708400 9194265 9807216 10215850 10222776 10648725 11358640 12259020 12466800 12778470 13630368 14198300 14710824 15323775 16345360 16753994 17037960 17416800 18388530 19614432 20431700 20445552 21297450 22717280 24518040 24933600 25130991 25556940 28396600 29421648 30647550 31946175 32690720 33507988 34075920 36777060 40863400 40891104 41884985 42594900 45971325 49036080 50261982 51113880 56793200 58843296 61295100 63892350 67015976 68151840 73554120 75392973 81726800 83769970 85189800 91942650 98072160 100523964 102227760 113586400 122590200 125654955 127784700 134031952 147108240 150785946 163453600 167539940 170379600 183885300 201047928 204455520 209424925 245180400 251309910 255569400 268063904 294216480 301571892 335079880 340759200 367770600 376964865 402095856 418849850 490360800 502619820 511138800 603143784 628274775 670159760 735541200 753929730 804191712 837699700 1005239640 1022277600 1206287568 1256549550 1340319520 1471082400 1507859460 1675399400 1884824325 2010479280 2412575136 2513099100 3015718920 3350798800 3769648650 4020958560 5026198200 6031437840 6701597600 7539297300 10052396400 12062875680 15078594600 20104792800 30157189200 60314378400 2244124639651 4488249279302 6732373918953 8976498558604 11220623198255 13464747837906 17952997117208 20197121756859 22441246396510 26929495675812 33661869594765 35905994234416 40394243513718 44882492793020 53858991351624 56103115991275 67323739189530 71811988468832 80788487027436 89764985586040 92009110225691 100985608784295 107717982703248 112206231982550 132403353739409 134647478379060 161576974054872 168309347973825 179529971172080 184018220451382 201971217568590 215435965406496 224412463965100 264806707478818 269294956758120 276027330677073 323153948109744 336618695947650 359059942344160 368036440902764 397210061218227 403942435137180 448824927930200 460045551128455 504928043921475 529613414957636 538589913516240 552054661354146 646307896219488 662016768697045 673237391895300 736072881805528 794420122436454 807884870274360 828081992031219 897649855860400 920091102256910 1009856087842950 1059226829915272 1077179827032480 1104109322708292 1191630183654681 1324033537394090 1346474783790600 1380136653385365 1472145763611056 1588840244872908 1615769740548720 1656163984062438 1795299711720800 1840182204513820 1986050306091135 2019712175685900 2118453659830544 2208218645416584 2300227755642275 2383260367309362 2648067074788180 2692949567581200 2760273306770730 2944291527222112 3177680489745816 3231539481097440 3310083843485225 3312327968124876 3680364409027640 3972100612182270 4039424351371800 4140409960156095 4236907319661088 4416437290833168 4600455511284550 4766520734618724 5296134149576360 5385899135162400 5428537503315769 5520546613541460 5958150918273405 6355360979491632 6620167686970450 6624655936249752 6900683266926825 7360728818055280 7771403627111413 7944201224364540 8078848702743600 8280819920312190 8832874581666336 9200911022569100 9533041469237448 9930251530455675 10592268299152720 10857075006631538 11041093227082920 11916301836546810 12710721958983264 13240335373940900 13249311872499504 13801366533853650 14721457636110560 15542807254222826 15888402448729080 16157697405487200 16285612509947307 16561639840624380 18401822045138200 19066082938474896 19860503060911350 20702049800780475 21184536598305440 21714150013263076 22082186454165840 23314210881334239 23832603673093620 26480670747881800 26498623744999008 27142687516578845 27602733067707300 29790754591367025 31085614508445652 31776804897458160 32571225019894614 33123279681248760 36803644090276400 38132165876949792 38857018135557065 39721006121822700 41404099601560950 43428300026526152 44164372908331680 46628421762668478 47665207346187240 48856837529841921 52961341495763600 54285375033157690 55205466135414600 59581509182734050 62171229016891304 63553609794916320 65142450039789228 66246559362497520 69942632644002717 73607288180552800 77714036271114130 79442012243645400 81428062549736535 82808199203121900 86856600053052304 93256843525336956 95330414692374480 97713675059683842 105922682991527200 108570750066315380 110410932270829200 116571054406671195 119163018365468100 124342458033782608 130284900079578456 132493118724995040 135713437582894225 139885265288005434 155428072542228260 158884024487290800 162856125099473070 165616398406243800 173713200106104608 186513687050673912 190660829384748960 194285090677785325 195427350119367684 217141500132630760 220821864541658400 233142108813342390 238326036730936200 244284187649209605 248684916067565216 260569800159156912 271426875165788450 279770530576010868 310856145084456520 317768048974581600 318627548711567933 325712250198946140 331232796812487600 349713163220013585 373027374101347824 388570181355570650 390854700238735368 407140312748682675 434283000265261520 458512813999573367 466284217626684780 476652073461872400 488568375298419210 521139600318313824 542853750331576900 559541061152021736 582855272033355975 621712290168913040 637255097423135866 651424500397892280 662465593624975200 699426326440027170 746054748202695648 777140362711141300 781709400477470736 814280625497365350 868566000530523040 917025627999146734 932568435253369560 953304146923744800 955882646134703799 977136750596838420 1085707500663153800 1119082122304043472 1165710544066711950 1221420938246048025 1243424580337826080 1274510194846271732 1302849000795784560 1375538441998720101 1398852652880054340 1554280725422282600 1563418800954941472 1593137743557839665 1628561250994730700 1748565816100067925 1834051255998293468 1865136870506739120 1911765292269407598 1954273501193676840 2171415001326307600 2238164244608086944 2292564069997866835 2331421088133423900 2442841876492096050 2549020389692543464 2605698001591569120 2751076883997440202 2797705305760108680 2867647938404111397 3108561450844565200 3186275487115679330 3257122501989461400 3497131632200135850 3668102511996586936 3730273741013478240 3823530584538815196 3908547002387353680 4126615325996160303 4342830002652615200 4585128139995733670 4662842176266847800 4779413230673518995 4885683752984192100 5098040779385086928 5502153767994880404 5595410611520217360 5735295876808222794 6217122901689130400 6372550974231358660 6514245003978922800 6877692209993600505 6994263264400271700 7336205023993173872 7647061169077630392 7817094004774707360 7965688717789198325 8253230651992320606 9170256279991467340 9325684352533695600 9558826461347037990 9771367505968384200 10196081558770173856 11004307535989760808 11190821223040434720 11462820349989334175 11470591753616445588 12745101948462717320 13028490007957845600 13755384419987201010 13988526528800543400 14338239692020556985 14672410047986347744 15294122338155260784 15931377435578396650 16506461303984641212 18340512559982934680 18651368705067391200 18799025373982508047 19117652922694075980 19542735011936768400 20633076629980801515 22008615071979521616 22925640699978668350 22941183507232891176 23897066153367594975 25490203896925434640 27510768839974402020 27977053057601086800 28676479384041113970 30588244676310521568 31862754871156793300 33012922607969282424 34388461049968002525 36681025119965869360 37598050747965016094 38235305845388151960 39085470023873536800 41266153259961603030 44017230143959043232 45851281399957336700 45882367014465782352 47794132306735189950 50980407793850869280 55021537679948804040 55954106115202173600 56397076121947524141 57352958768082227940 63725509742313586600 66025845215938564848 68776922099936005050 71691198460102784925 73362050239931738720 75196101495930032188 76470611690776303920 82532306519923206060 91702562799914673400 91764734028931564704 93995126869912540235 95588264613470379900 103165383149904007575 110043075359897608080 112794152243895048282 114705917536164455880 127451019484627173200 132051690431877129696 137553844199872010100 143382396920205569850 150392202991860064376 152941223381552607840 165064613039846412120 169191228365842572423 183405125599829346800 187990253739825080470 191176529226940759800 206330766299808015150 220086150719795216160 225588304487790096564 229411835072328911760 254902038969254346400 275107688399744020200 281985380609737620705 286764793840411139700 300784405983720128752 330129226079692824240 338382456731685144846 366810251199658693600 375980507479650160940 382353058453881519600 412661532599616030300 451176608975580193128 458823670144657823520 469975634349562701175 550215376799488040400 563970761219475241410 573529587680822279400 601568811967440257504 660258452159385648480 676764913463370289692 751961014959300321880 764706116907763039200 825323065199232060600 845956141829212862115 902353217951160386256 939951268699125402350 1100430753598976080800 1127941522438950482820 1147059175361644558800 1353529826926740579384 1409926903048688103525 1503922029918600643760 1650646130398464121200 1691912283658425724230 1804706435902320772512 1879902537398250804700 2255883044877900965640 2294118350723289117600 2707059653853481158768 2819853806097376207050 3007844059837201287520 3301292260796928242400 3383824567316851448460 3759805074796501609400 4229780709146064310575 4511766089755801931280 5414119307706962317536 5639707612194752414100 6767649134633702896920 7519610149593003218800 8459561418292128621150 9023532179511603862560 11279415224389504828200 13535298269267405793840 15039220299186006437600 16919122836584257242300 22558830448779009656400 27070596538534811587680 33838245673168514484600 45117660897558019312800 67676491346337028969200 135352982692674057938400
- Sum of all divisors σ(n): 497360159778625192707840
- Sum of proper divisors (its aliquot sum) s(n): 362007177085951134769440
- 135352982692674057938400 is an abundant number, because the sum of its proper divisors (362007177085951134769440) is greater than itself. Its abundance is 226654194393277076831040
Bases of 135352982692674057938400
- Binary: 111001010100101111111111110010001010000100110011000000111101000100101111000002
- Hexadecimal: 0x1CA97FF91426607A25E0
- Base-36: M1H8I9N1E7706W0
Squares and roots of 135352982692674057938400
- 135352982692674057938400 squared (1353529826926740579384002) is 18320429923803323071803775158449920058194560000
- 135352982692674057938400 cubed (1353529826926740579384003) is 2479724834398899097774981189278780795038233798902626953139695104000000
-
The
square root of 135352982692674057938400 is 367903496439.8599704321 -
The
cube root of 135352982692674057938400 is 51343950.0009679809
Scales and comparisons
How big is 135352982692674057938400?- 135,352,982,692,674,057,938,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 135,352,982,692,674,057,938,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 135352982692674057938400 cubic inches would be around 4278662.5 feet tall.
Recreational maths with 135352982692674057938400
- 135352982692674057938400 backwards is 004839750476296289253531
- The number of decimal digits it has is: 24
- The sum of 135352982692674057938400's digits is 108
- More coming soon!
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The information we have on file for 135352982692674057938400 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 135352982692674057938400, math, Factors of 135352982692674057938400, curriculum, school, college, exams, university, Prime factorization of 135352982692674057938400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five sextillion, three hundred fifty-two quintillion, nine hundred eighty-two quadrillion, six hundred ninety-two trillion, six hundred seventy-four billion, fifty-seven million, nine hundred thirty-eight thousand, four hundred.