138368266868177305600
138,368,266,868,177,305,600 is an even composite number composed of four prime numbers multiplied together.
What does the number 138368266868177305600 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 765 divisors.
138368266868177305600 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seven hundred sixty-five divisors.
Prime factorization of 138368266868177305600:
216 × 52 × 1272 × 2694
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 127 × 127 × 269 × 269 × 269 × 269)See below for interesting mathematical facts about the number 138368266868177305600 from the Numbermatics database.
Names of 138368266868177305600
- Cardinal: 138368266868177305600 can be written as One hundred thirty-eight quintillion, three hundred sixty-eight quadrillion, two hundred sixty-six trillion, eight hundred sixty-eight billion, one hundred seventy-seven million, three hundred five thousand, six hundred.
Scientific notation
- Scientific notation: 1.383682668681773056 × 1020
Factors of 138368266868177305600
Divisors of 138368266868177305600
- Number of divisors d(n): 765
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 127 128 160 200 254 256 269 320 400 508 512 538 635 640 800 1016 1024 1076 1270 1280 1345 1600 2032 2048 2152 2540 2560 2690 3175 3200 4064 4096 4304 5080 5120 5380 6350 6400 6725 8128 8192 8608 10160 10240 10760 12700 12800 13450 16129 16256 16384 17216 20320 20480 21520 25400 25600 26900 32258 32512 32768 34163 34432 40640 40960 43040 50800 51200 53800 64516 65024 65536 68326 68864 72361 80645 81280 81920 86080 101600 102400 107600 129032 130048 136652 137728 144722 161290 162560 163840 170815 172160 203200 204800 215200 258064 260096 273304 275456 289444 322580 325120 327680 341630 344320 361805 403225 406400 409600 430400 516128 520192 546608 550912 578888 645160 650240 683260 688640 723610 806450 812800 819200 854075 860800 1032256 1040384 1093216 1101824 1157776 1290320 1300480 1366520 1377280 1447220 1612900 1625600 1638400 1708150 1721600 1809025 2064512 2080768 2186432 2203648 2315552 2580640 2600960 2733040 2754560 2894440 3225800 3251200 3416300 3443200 3618050 4129024 4161536 4338701 4372864 4407296 4631104 5161280 5201920 5466080 5509120 5788880 6451600 6502400 6832600 6886400 7236100 8258048 8323072 8677402 8745728 8814592 9189847 9262208 10322560 10403840 10932160 11018240 11577760 12903200 13004800 13665200 13772800 14472200 16516096 17354804 17491456 17629184 18379694 18524416 19465109 20645120 20807680 21693505 21864320 22036480 23155520 25806400 26009600 27330400 27545600 28944400 33032192 34709608 34982912 36759388 37048832 38930218 41290240 41615360 43387010 43728640 44072960 45949235 46311040 51612800 52019200 54660800 55091200 57888800 66064384 69419216 69965824 73518776 74097664 77860436 82580480 86774020 87457280 88145920 91898470 92622080 97325545 103225600 104038400 108467525 109321600 110182400 115777600 132128768 138838432 139931648 147037552 148195328 155720872 165160960 173548040 174914560 183796940 185244160 194651090 206451200 208076800 216935050 218643200 220364800 229746175 231555200 264257536 277676864 279863296 294075104 296390656 311441744 330321920 347096080 349829120 367593880 370488320 389302180 412902400 433870100 437286400 440729600 459492350 463110400 486627725 528515072 555353728 559726592 588150208 592781312 622883488 660643840 694192160 699658240 735187760 740976640 778604360 825804800 867740200 874572800 918984700 926220800 973255450 1057030144 1110707456 1119453184 1167110569 1176300416 1185562624 1245766976 1321287680 1388384320 1399316480 1470375520 1481953280 1557208720 1651609600 1735480400 1749145600 1837969400 1852441600 1946510900 2221414912 2238906368 2334221138 2352600832 2371125248 2472068843 2491533952 2642575360 2776768640 2798632960 2940751040 2963906560 3114417440 3303219200 3470960800 3498291200 3675938800 3704883200 3893021800 4442829824 4668442276 4705201664 4742250496 4944137686 4983067904 5236114321 5285150720 5553537280 5597265920 5835552845 5881502080 5927813120 6228834880 6606438400 6941921600 6996582400 7351877600 7409766400 7786043600 8885659648 9336884552 9410403328 9888275372 9966135808 10472228642 11107074560 11194531840 11671105690 11763004160 11855626240 12360344215 12457669760 13212876800 13883843200 13993164800 14703755200 14819532800 15572087200 17771319296 18673769104 18820806656 19776550744 19932271616 20944457284 22214149120 23342211380 23526008320 23711252480 24720688430 24915339520 26180571605 26425753600 27767686400 27986329600 29177764225 29407510400 29639065600 31144174400 35542638592 37347538208 37641613312 39553101488 39864543232 41888914568 44428298240 46684422760 47052016640 49441376860 49830679040 52361143210 55535372800 55972659200 58355528450 58815020800 59278131200 61801721075 62288348800 71085277184 74695076416 75283226624 79106202976 79729086464 83777829136 88856596480 93368845520 94104033280 98882753720 99661358080 104722286420 111070745600 116711056900 117630041600 118556262400 123603442150 124576697600 130902858025 142170554368 149390152832 150566453248 158212405952 159458172928 167555658272 177713192960 186737691040 188208066560 197765507440 199322716160 209444572840 222141491200 233422113800 235260083200 247206884300 249153395200 261805716050 284341108736 298780305664 301132906496 313952743061 316424811904 318916345856 335111316544 355426385920 373475382080 376416133120 395531014880 398645432320 418889145680 444282982400 466844227600 470520166400 494413768600 498306790400 523611432100 597560611328 602265812992 627905486122 632849623808 637832691712 664986518767 670222633088 710852771840 746950764160 752832266240 791062029760 797290864640 837778291360 888565964800 933688455200 941040332800 988827537200 996613580800 1047222864200 1195121222656 1255810972244 1265699247616 1275665383424 1329973037534 1340445266176 1421705543680 1493901528320 1505664532480 1569763715305 1582124059520 1594581729280 1675556582720 1777131929600 1867376910400 1882080665600 1977655074400 1993227161600 2094445728400 2390242445312 2511621944488 2531398495232 2659946075068 2680890532352 2987803056640 3011329064960 3139527430610 3164248119040 3189163458560 3324932593835 3351113165440 3554263859200 3734753820800 3764161331200 3955310148800 3986454323200 4188891456800 4780484890624 5023243888976 5062796990464 5319892150136 5361781064704 5975606113280 6279054861220 6328496238080 6378326917120 6649865187670 6702226330880 7108527718400 7469507641600 7528322662400 7848818576525 7910620297600 7972908646400 8377782913600 9560969781248 10046487777952 10125593980928 10639784300272 10723562129408 11951212226560 12558109722440 12656992476160 13299730375340 13404452661760 14939015283200 15056645324800 15697637153050 15821240595200 15945817292800 16624662969175 16755565827200 19121939562496 20092975555904 20251187961856 21279568600544 21447124258816 23902424453120 25116219444880 25313984952320 26599460750680 26808905323520 29878030566400 31395274306100 31642481190400 31891634585600 33249325938350 33511131654400 38243879124992 40185951111808 40502375923712 42559137201088 42894248517632 47804848906240 50232438889760 50627969904640 53198921501360 53617810647040 59756061132800 62790548612200 63284962380800 66498651876700 67022263308800 76487758249984 80371902223616 81004751847424 84453287883409 85118274402176 85788497035264 95609697812480 100464877779520 101255939809280 106397843002720 107235621294080 119512122265600 125581097224400 126569924761600 132997303753400 134044526617600 160743804447232 162009503694848 168906575766818 170236548804352 171576994070528 191219395624960 200929755559040 202511879618560 212795686005440 214471242588160 239024244531200 251162194448800 253139849523200 265994607506800 268089053235200 321487608894464 337813151533636 340473097608704 343153988141056 382438791249920 401859511118080 405023759237120 422266439417045 425591372010880 428942485176320 478048489062400 502324388897600 506279699046400 531989215013600 536178106470400 642975217788928 675626303067272 680946195217408 803719022236160 810047518474240 844532878834090 851182744021760 857884970352640 956096978124800 1004648777795200 1012559398092800 1063978430027200 1072356212940800 1285950435577856 1351252606134544 1361892390434816 1607438044472320 1689065757668180 1702365488043520 1715769940705280 1912193956249600 2009297555590400 2025118796185600 2111332197085225 2127956860054400 2144712425881600 2571900871155712 2702505212269088 2723784780869632 3214876088944640 3378131515336360 3404730976087040 4018595111180800 4050237592371200 4222664394170450 4255913720108800 4289424851763200 5143801742311424 5405010424538176 5447569561739264 6429752177889280 6756263030672720 6809461952174080 8037190222361600 8445328788340900 8511827440217600 8578849703526400 10287603484622848 10810020849076352 10895139123478528 12859504355778560 13512526061345440 13618923904348160 16074380444723200 16890657576681800 17023654880435200 20575206969245696 21620041698152704 21790278246957056 25719008711557120 27025052122690880 27237847808696320 32148760889446400 33781315153363600 34047309760870400 43240083396305408 43580556493914112 51438017423114240 54050104245381760 54475695617392640 64297521778892800 67562630306727200 68094619521740800 86480166792610816 102876034846228480 108100208490763520 108951391234785280 128595043557785600 135125260613454400 136189239043481600 172960333585221632 216200416981527040 217902782469570560 257190087115571200 270250521226908800 272378478086963200 345920667170443264 432400833963054080 514380174231142400 540501042453817600 544756956173926400 691841334340886528 864801667926108160 1081002084907635200 1089513912347852800 1383682668681773056 1729603335852216320 2162004169815270400 2767365337363546112 3459206671704432640 4324008339630540800 5534730674727092224 6918413343408865280 8648016679261081600 13836826686817730560 17296033358522163200 27673653373635461120 34592066717044326400 69184133434088652800 138368266868177305600
- Sum of all divisors σ(n): 347164507430962342077
- Sum of proper divisors (its aliquot sum) s(n): 208796240562785036477
- 138368266868177305600 is an abundant number, because the sum of its proper divisors (208796240562785036477) is greater than itself. Its abundance is 70427973694607730877
Bases of 138368266868177305600
- Binary: 11110000000001111101101010110011100001100000010100100000000000000002
- Hexadecimal: 0x7803ED59C30290000
- Base-36: T799CZVDVKCN4
Squares and roots of 138368266868177305600
- 138368266868177305600 squared (1383682668681773056002) is 19145777276103133466580013158875791360000
- 138368266868177305600 cubed (1383682668681773056003) is 2649168019538523144122171051783449230946311027992559616000000
-
138368266868177305600 is a
perfect square number . Itssquare root is 11763004160 -
The
cube root of 138368266868177305600 is 5172241.9665259777
Scales and comparisons
How big is 138368266868177305600?- 138,368,266,868,177,305,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,368,266,868,177,305,600 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 138368266868177305600 cubic inches would be around 431020.2 feet tall.
Recreational maths with 138368266868177305600
- 138368266868177305600 backwards is 006503771868662863831
- The number of decimal digits it has is: 21
- The sum of 138368266868177305600's digits is 94
- More coming soon!
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The information we have on file for 138368266868177305600 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 138368266868177305600, math, Factors of 138368266868177305600, curriculum, school, college, exams, university, Prime factorization of 138368266868177305600, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, three hundred sixty-eight quadrillion, two hundred sixty-six trillion, eight hundred sixty-eight billion, one hundred seventy-seven million, three hundred five thousand, six hundred.