136464588485407469689128000
136,464,588,485,407,469,689,128,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 136464588485407469689128000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 672 divisors.
136464588485407469689128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 136464588485407469689128000:
26 × 32 × 53 × 17351 × 609527 × 179213208637
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 17351 × 609527 × 179213208637)See below for interesting mathematical facts about the number 136464588485407469689128000 from the Numbermatics database.
Names of 136464588485407469689128000
- Cardinal: 136464588485407469689128000 can be written as One hundred thirty-six septillion, four hundred sixty-four sextillion, five hundred eighty-eight quintillion, four hundred eighty-five quadrillion, four hundred seven trillion, four hundred sixty-nine billion, six hundred eighty-nine million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.36464588485407469689128 × 1026
Factors of 136464588485407469689128000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 179213835525
Divisors of 136464588485407469689128000
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 144 150 160 180 192 200 225 240 250 288 300 320 360 375 400 450 480 500 576 600 720 750 800 900 960 1000 1125 1200 1440 1500 1600 1800 2000 2250 2400 2880 3000 3600 4000 4500 4800 6000 7200 8000 9000 12000 14400 17351 18000 24000 34702 36000 52053 69404 72000 86755 104106 138808 156159 173510 208212 260265 277616 312318 347020 416424 433775 520530 555232 609527 624636 694040 780795 832848 867550 1041060 1110464 1219054 1249272 1301325 1388080 1561590 1665696 1735100 1828581 2082120 2168875 2438108 2498544 2602650 2776160 3047635 3123180 3331392 3470200 3657162 3903975 4164240 4337750 4876216 4997088 5205300 5485743 5552320 6095270 6246360 6506625 6940400 7314324 7807950 8328480 8675500 9142905 9752432 9994176 10410600 10971486 12190540 12492720 13013250 13880800 14628648 15238175 15615900 16656960 17351000 18285810 19504864 19519875 20821200 21942972 24381080 24985440 26026500 27428715 27761600 29257296 30476350 31231800 34702000 36571620 39009728 39039750 41642400 43885944 45714525 48762160 49970880 52053000 54857430 58514592 60952700 62463600 69404000 73143240 76190875 78079500 83284800 87771888 91429050 97524320 104106000 109714860 117029184 121905400 124927200 137143575 138808000 146286480 152381750 156159000 175543776 182858100 195048640 208212000 219429720 228572625 243810800 249854400 274287150 292572960 304763500 312318000 351087552 365716200 416424000 438859440 457145250 487621600 548574300 585145920 609527000 624636000 685717875 731432400 877718880 914290500 975243200 1097148600 1219054000 1249272000 1371435750 1462864800 1755437760 1828581000 2194297200 2438108000 2742871500 2925729600 3657162000 4388594400 4876216000 5485743000 7314324000 8777188800 10575902977 10971486000 14628648000 21151805954 21942972000 31727708931 42303611908 43885944000 52879514885 63455417862 84607223816 95183126793 105759029770 126910835724 158638544655 169214447632 179213208637 190366253586 211518059540 253821671448 264397574425 317277089310 338428895264 358426417274 380732507172 423036119080 475915633965 507643342896 528795148850 537639625911 634554178620 676857790528 716852834548 761465014344 793192723275 846072238160 896066043185 951831267930 1015286685792 1057590297700 1075279251822 1269108357240 1321987872125 1433705669096 1522930028688 1586385446550 1612918877733 1692144476320 1792132086370 1903662535860 2030573371584 2115180595400 2150558503644 2379578169825 2538216714480 2643975744250 2688198129555 2867411338192 3045860057376 3172770893100 3225837755466 3384288952640 3584264172740 3807325071720 3965963616375 4230361190800 4301117007288 4480330215925 4759156339650 5076433428960 5287951488500 5376396259110 5734822676384 6091720114752 6345541786200 6451675510932 7168528345480 7614650143440 7931927232750 8064594388665 8460722381600 8602234014576 8960660431850 9518312679300 10152866857920 10575902977000 10752792518220 11469645352768 11897890849125 12691083572400 12903351021864 13440990647775 14337056690960 15229300286880 15863854465500 16129188777330 16921444763200 17204468029152 17921320863700 19036625358600 21151805954000 21505585036440 22401651079625 23795781698250 25382167144800 25806702043728 26881981295550 28674113381920 30458600573760 31727708931000 32258377554660 34408936058304 35842641727400 38073250717200 40322971943325 42303611908000 43011170072880 44803302159250 47591563396500 50764334289600 51613404087456 53763962591100 57348226763840 63455417862000 64516755109320 67204953238875 71685283454800 76146501434400 80645943886650 84607223816000 86022340145760 89606604318500 95183126793000 103226808174912 107527925182200 126910835724000 129033510218640 134409906477750 143370566909600 152293002868800 161291887773300 172044680291520 179213208637000 190366253586000 201614859716625 215055850364400 253821671448000 258067020437280 268819812955500 286741133819200 322583775546600 358426417274000 380732507172000 403229719433250 430111700728800 516134040874560 537639625911000 645167551093200 716852834548000 761465014344000 806459438866500 860223401457600 1075279251822000 1290335102186400 1433705669096000 1612918877733000 2150558503644000 2580670204372800 3109528383060587 3225837755466000 4301117007288000 6219056766121174 6451675510932000 9328585149181761 12438113532242348 12903351021864000 15547641915302935 18657170298363522 24876227064484696 27985755447545283 31095283830605870 37314340596727044 46642925745908805 49752454128969392 55971510895090566 62190567661211740 74628681193454088 77738209576514675 93285851491817610 99504908257938784 109235289420884699 111943021790181132 124381135322423480 139928777237726415 149257362386908176 155476419153029350 186571702983635220 199009816515877568 218470578841769398 223886043580362264 233214628729544025 248762270644846960 279857554475452830 298514724773816352 310952838306058700 327705868262654097 373143405967270440 388691047882573375 436941157683538796 447772087160724528 466429257459088050 497524541289693920 546176447104423495 559715108950905660 597029449547632704 621905676612117400 655411736525308194 699643886188632075 746286811934540880 777382095765146750 873882315367077592 895544174321449056 932858514918176100 983117604787962291 995049082579387840 1092352894208846990 1119430217901811320 1166073143647720125 1243811353224234800 1310823473050616388 1399287772377264150 1492573623869081760 1554764191530293500 1638529341313270485 1747764630734155184 1791088348642898112 1865717029836352200 1966235209575924582 2184705788417693980 2238860435803622640 2332146287295440250 2487622706448469600 2621646946101232776 2730882235522117475 2798575544754528300 2985147247738163520 3109528383060587000 3277058682626540970 3495529261468310368 3498219430943160375 3731434059672704400 3932470419151849164 4369411576835387960 4477720871607245280 4664292574590880500 4915588023939811455 4975245412896939200 5243293892202465552 5461764471044234950 5597151089509056600 6219056766121174000 6554117365253081940 6991058522936620736 6996438861886320750 7462868119345408800 7864940838303698328 8192646706566352425 8738823153670775920 8955441743214490560 9328585149181761000 9831176047879622910 10486587784404931104 10923528942088469900 11194302179018113200 12438113532242348000 13108234730506163880 13654411177610587375 13992877723772641500 14925736238690817600 15729881676607396656 16385293413132704850 17477646307341551840 18657170298363522000 19662352095759245820 20973175568809862208 21847057884176939800 22388604358036226400 24577940119699057275 24876227064484696000 26216469461012327760 27308822355221174750 27985755447545283000 31459763353214793312 32770586826265409700 34955292614683103680 37314340596727044000 39324704191518491640 40963233532831762125 43694115768353879600 44777208716072452800 49155880239398114550 52432938922024655520 54617644710442349500 55971510895090566000 62919526706429586624 65541173652530819400 74628681193454088000 78649408383036983280 81926467065663524250 87388231536707759200 98311760478796229100 104865877844049311040 109235289420884699000 111943021790181132000 122889700598495286375 131082347305061638800 157298816766073966560 163852934131327048500 174776463073415518400 196623520957592458200 218470578841769398000 223886043580362264000 245779401196990572750 262164694610123277600 314597633532147933120 327705868262654097000 393247041915184916400 436941157683538796000 491558802393981145500 524329389220246555200 655411736525308194000 786494083830369832800 873882315367077592000 983117604787962291000 1310823473050616388000 1572988167660739665600 1895341506741770412349 1966235209575924582000 2621646946101232776000 3790683013483540824698 3932470419151849164000 5686024520225311237047 7581366026967081649396 7864940838303698328000 9476707533708852061745 11372049040450622474094 15162732053934163298792 17058073560675933711141 18953415067417704123490 22744098080901244948188 28430122601126556185235 30325464107868326597584 34116147121351867422282 37906830134835408246980 45488196161802489896376 47383537668544260308725 56860245202253112370470 60650928215736653195168 68232294242703734844564 75813660269670816493960 85290367803379668555705 90976392323604979792752 94767075337088520617450 113720490404506224740940 121301856431473306390336 136464588485407469689128 142150613005632780926175 151627320539341632987920 170580735606759337111410 181952784647209959585504 189534150674177041234900 227440980809012449481880 236917688342721301543625 272929176970814939378256 284301226011265561852350 303254641078683265975840 341161471213518674222820 363905569294419919171008 379068301348354082469800 426451839016898342778525 454881961618024898963760 473835376685442603087250 545858353941629878756512 568602452022531123704700 606509282157366531951680 682322942427037348445640 710753065028163904630875 758136602696708164939600 852903678033796685557050 909763923236049797927520 947670753370885206174500 1091716707883259757513024 1137204904045062247409400 1364645884854074696891280 1421506130056327809261750 1516273205393416329879200 1705807356067593371114100 1819527846472099595855040 1895341506741770412349000 2132259195084491713892625 2274409808090124494818800 2729291769708149393782560 2843012260112655618523500 3032546410786832659758400 3411614712135186742228200 3790683013483540824698000 4264518390168983427785250 4548819616180248989637600 5458583539416298787565120 5686024520225311237047000 6823229424270373484456400 7581366026967081649396000 8529036780337966855570500 9097639232360497979275200 11372049040450622474094000 13646458848540746968912800 15162732053934163298792000 17058073560675933711141000 22744098080901244948188000 27292917697081493937825600 34116147121351867422282000 45488196161802489896376000 68232294242703734844564000 136464588485407469689128000
- Sum of all divisors σ(n): 488185512241159219142343168
- Sum of proper divisors (its aliquot sum) s(n): 351720923755751749453215168
- 136464588485407469689128000 is an abundant number, because the sum of its proper divisors (351720923755751749453215168) is greater than itself. Its abundance is 215256335270344279764087168
Bases of 136464588485407469689128000
- Binary: 1110000111000011000000000101010010001111111110100001011000111011101010001000100010000002
- Hexadecimal: 0x70E1802A47FD0B1DD44440
- Base-36: H5A3CF48GONOVDZK0
Squares and roots of 136464588485407469689128000
- 136464588485407469689128000 squared (1364645884854074696891280002) is 18622583910491604962119092828529718068961400384000000
- 136464588485407469689128000 cubed (1364645884854074696891280003) is 2541323249880207083679534125258391092844840733182750164520300019825152000000000
-
The
square root of 136464588485407469689128000 is 11681805874324.7171667999 -
The
cube root of 136464588485407469689128000 is 514841234.8579095519
Scales and comparisons
How big is 136464588485407469689128000?- 136,464,588,485,407,469,689,128,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 136,464,588,485,407,469,689,128,000 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 136464588485407469689128000 cubic inches would be around 42903436.2 feet tall.
Recreational maths with 136464588485407469689128000
- 136464588485407469689128000 backwards is 000821986964704584885464631
- The number of decimal digits it has is: 27
- The sum of 136464588485407469689128000's digits is 126
- 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 136464588485407469689128000 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 136464588485407469689128000 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/136464588485407469689128000/
Chicago style:
Numbermatics. 2024. "Number 136464588485407469689128000 - Facts about the integer". https://numbermatics.com/n/136464588485407469689128000/
The information we have on file for 136464588485407469689128000 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 136464588485407469689128000, math, Factors of 136464588485407469689128000, curriculum, school, college, exams, university, Prime factorization of 136464588485407469689128000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-six septillion, four hundred sixty-four sextillion, five hundred eighty-eight quintillion, four hundred eighty-five quadrillion, four hundred seven trillion, four hundred sixty-nine billion, six hundred eighty-nine million, one hundred twenty-eight thousand.