13742665445824580149632
13,742,665,445,824,580,149,632 is an even composite number composed of six prime numbers multiplied together.
What does the number 13742665445824580149632 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 512 divisors.
13742665445824580149632 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 13742665445824580149632:
27 × 33 × 11 × 19 × 149 × 127692292994117
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 19 × 149 × 127692292994117)See below for interesting mathematical facts about the number 13742665445824580149632 from the Numbermatics database.
Names of 13742665445824580149632
- Cardinal: 13742665445824580149632 can be written as Thirteen sextillion, seven hundred forty-two quintillion, six hundred sixty-five quadrillion, four hundred forty-five trillion, eight hundred twenty-four billion, five hundred eighty million, one hundred forty-nine thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 1.3742665445824580149632 × 1022
Factors of 13742665445824580149632
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 127692292994301
Divisors of 13742665445824580149632
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 38 44 48 54 57 64 66 72 76 88 96 99 108 114 128 132 144 149 152 171 176 192 198 209 216 228 264 288 297 298 304 342 352 384 396 418 432 447 456 513 528 576 594 596 608 627 684 704 792 836 864 894 912 1026 1056 1152 1188 1192 1216 1254 1341 1368 1408 1584 1639 1672 1728 1788 1824 1881 2052 2112 2376 2384 2432 2508 2682 2736 2831 3168 3278 3344 3456 3576 3648 3762 4023 4104 4224 4752 4768 4917 5016 5364 5472 5643 5662 6336 6556 6688 7152 7296 7524 8046 8208 8493 9504 9536 9834 10032 10728 10944 11286 11324 12672 13112 13376 14304 14751 15048 16092 16416 16986 19008 19072 19668 20064 21456 21888 22572 22648 25479 26224 26752 28608 29502 30096 31141 32184 32832 33972 38016 39336 40128 42912 44253 45144 45296 50958 52448 57216 59004 60192 62282 64368 65664 67944 76437 78672 80256 85824 88506 90288 90592 93423 101916 104896 118008 120384 124564 128736 135888 152874 157344 171648 177012 180576 181184 186846 203832 209792 236016 240768 249128 257472 271776 280269 305748 314688 354024 361152 362368 373692 407664 472032 498256 514944 543552 560538 611496 629376 708048 722304 747384 815328 840807 944064 996512 1087104 1121076 1222992 1416096 1494768 1630656 1681614 1888128 1993024 2242152 2445984 2832192 2989536 3261312 3363228 3986048 4484304 4891968 5664384 5979072 6726456 8968608 9783936 11958144 13452912 17937216 26905824 35874432 53811648 107623296 127692292994117 255384585988234 383076878982351 510769171976468 766153757964702 1021538343952936 1149230636947053 1404615222935287 1532307515929404 2043076687905872 2298461273894106 2426153566888223 2809230445870574 3064615031858808 3447691910841159 4086153375811744 4213845668805861 4596922547788212 4852307133776446 5618460891741148 6129230063717616 6895383821682318 7278460700664669 8172306751623488 8427691337611722 9193845095576424 9704614267552892 11236921783482296 12258460127435232 12641537006417583 13790767643364636 14556921401329338 16344613503246976 16855382675223444 18387690191152848 19026151656123433 19409228535105784 21835382101994007 22473843566964592 24516920254870464 25283074012835166 26687689235770453 27581535286729272 29113842802658676 33710765350446888 36775380382305696 37924611019252749 38052303312246866 38818457070211568 43670764203988014 44947687133929184 49033840509740928 50566148025670332 53375378471540906 55163070573458544 57078454968370299 58227685605317352 65506146305982021 67421530700893776 73550760764611392 75849222038505498 76104606624493732 77636914140423136 80063067707311359 87341528407976028 89895374267858368 101132296051340664 106750756943081812 110326141146917088 114156909936740598 116455371210634704 131012292611964042 134843061401787552 147101521529222784 151698444077010996 152209213248987464 155273828280846272 160126135414622718 171235364905110897 174683056815952056 179790748535716736 202264592102681328 209287668217357763 213501513886163624 220652282293834176 228313819873481196 232910742421269408 240189203121934077 262024585223928084 269686122803575104 303396888154021992 304418426497974928 310547656561692544 320252270829245436 342470729810221794 349366113631904112 361496881466345227 404529184205362656 418575336434715526 427003027772327248 441304564587668352 456627639746962392 465821484842538816 480378406243868154 513706094715332691 524049170447856168 539372245607150208 606793776308043984 608836852995949856 627863004652073289 640504541658490872 684941459620443588 698732227263808224 720567609365802231 722993762932690454 809058368410725312 837150672869431052 854006055544654496 913255279493924784 931642969685077632 960756812487736308 1027412189430665382 1048098340895712336 1084490644399035681 1213587552616087968 1217673705991899712 1255726009304146578 1281009083316981744 1369882919240887176 1397464454527616448 1441135218731604462 1445987525865380908 1618116736821450624 1674301345738862104 1708012111089308992 1826510558987849568 1883589013956219867 1921513624975472616 2054824378861330764 2096196681791424672 2168981288798071362 2427175105232175936 2435347411983799424 2511452018608293156 2562018166633963488 2739765838481774352 2794928909055232896 2882270437463208924 2891975051730761816 3253471933197107043 3348602691477724208 3416024222178617984 3653021117975699136 3767178027912439734 3843027249950945232 3976465696129797497 4109648757722661528 4192393363582849344 4337962577596142724 4854350210464351872 5022904037216586312 5124036333267926976 5479531676963548704 5650767041868659601 5764540874926417848 5783950103461523632 6506943866394214086 6697205382955448416 7306042235951398272 7534356055824879468 7686054499901890464 7952931392259594994 8219297515445323056 8384786727165698688 8675925155192285448 9760415799591321129 10045808074433172624 10248072666535853952 10959063353927097408 11301534083737319202 11529081749852835696 11567900206923047264 11929397088389392491 13013887732788428172 13394410765910896832 15068712111649758936 15372108999803780928 15905862784519189988 16438595030890646112 17351850310384570896 19520831599182642258 20091616148866345248 21918126707854194816 22603068167474638404 23058163499705671392 23135800413846094528 23858794176778784982 26027775465576856344 26788821531821793664 30137424223299517872 30744217999607561856 31811725569038379976 32877190061781292224 34703700620769141792 35788191265168177473 39041663198365284516 40183232297732690496 45206136334949276808 46116326999411342784 46271600827692189056 47717588353557569964 52055550931153712688 60274848446599035744 63623451138076759952 65754380123562584448 69407401241538283584 71576382530336354946 78083326396730569032 80366464595465380992 90412272669898553616 92232653998822685568 95435176707115139928 104111101862307425376 107364573795504532419 120549696893198071488 127246902276153519904 138814802483076567168 143152765060672709892 156166652793461138064 180824545339797107232 190870353414230279856 208222203724614850752 214729147591009064838 241099393786396142976 254493804552307039808 286305530121345419784 312333305586922276128 361649090679594214464 381740706828460559712 416444407449229701504 429458295182018129676 508987609104614079616 572611060242690839568 624666611173844552256 723298181359188428928 763481413656921119424 858916590364036259352 1145222120485381679136 1249333222347689104512 1526962827313842238848 1717833180728072518704 2290444240970763358272 3435666361456145037408 4580888481941526716544 6871332722912290074816 13742665445824580149632
- Sum of all divisors σ(n): 46888609987440129600000
- Sum of proper divisors (its aliquot sum) s(n): 33145944541615549450368
- 13742665445824580149632 is an abundant number, because the sum of its proper divisors (33145944541615549450368) is greater than itself. Its abundance is 19403279095790969300736
Bases of 13742665445824580149632
- Binary: 101110100011111101110010111000001100110111001000010101010111100001100000002
- Hexadecimal: 0x2E8FDCB83372155E180
- Base-36: 28KABUTGL3BVXC0
Squares and roots of 13742665445824580149632
- 13742665445824580149632 squared (137426654458245801496322) is 188860853555860906283641164155647131509735424
- 13742665445824580149632 cubed (137426654458245801496323) is 2595451526231065964895297820795328395985469879135312897986650963968
-
The
square root of 13742665445824580149632 is 117229115179.7392871103 -
The
cube root of 13742665445824580149632 is 23952838.7787632449
Scales and comparisons
How big is 13742665445824580149632?- 13,742,665,445,824,580,149,632 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,742,665,445,824,580,149,632 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 13742665445824580149632 cubic inches would be around 1996069.9 feet tall.
Recreational maths with 13742665445824580149632
- 13742665445824580149632 backwards is 23694108542854456624731
- 13742665445824580149632 is a
Harshad number . - The number of decimal digits it has is: 23
- The sum of 13742665445824580149632's digits is 99
- 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 13742665445824580149632 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 13742665445824580149632 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/13742665445824580149632/
Chicago style:
Numbermatics. 2024. "Number 13742665445824580149632 - Facts about the integer". https://numbermatics.com/n/13742665445824580149632/
The information we have on file for 13742665445824580149632 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 13742665445824580149632, math, Factors of 13742665445824580149632, curriculum, school, college, exams, university, Prime factorization of 13742665445824580149632, STEM, science, technology, engineering, physics, economics, calculator, thirteen sextillion, seven hundred forty-two quintillion, six hundred sixty-five quadrillion, four hundred forty-five trillion, eight hundred twenty-four billion, five hundred eighty million, one hundred forty-nine thousand, six hundred thirty-two.