138261166594169815040
138,261,166,594,169,815,040 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138261166594169815040 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1920 divisors.
138261166594169815040 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138261166594169815040:
214 × 5 × 13 × 29 × 37 × 3121 × 8191 × 4733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 13 × 29 × 37 × 3121 × 8191 × 4733)See below for interesting mathematical facts about the number 138261166594169815040 from the Numbermatics database.
Names of 138261166594169815040
- Cardinal: 138261166594169815040 can be written as One hundred thirty-eight quintillion, two hundred sixty-one quadrillion, one hundred sixty-six trillion, five hundred ninety-four billion, one hundred sixty-nine million, eight hundred fifteen thousand and forty.
Scientific notation
- Scientific notation: 1.3826116659416981504 × 1020
Factors of 138261166594169815040
Divisors of 138261166594169815040
- Number of divisors d(n): 1920
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 29 32 37 40 52 58 64 65 74 80 104 116 128 130 145 148 160 185 208 232 256 260 290 296 320 370 377 416 464 481 512 520 580 592 640 740 754 832 928 962 1024 1040 1073 1160 1184 1280 1480 1508 1664 1856 1885 1924 2048 2080 2146 2320 2368 2405 2560 2960 3016 3121 3328 3712 3770 3848 4096 4160 4292 4640 4733 4736 4810 5120 5365 5920 6032 6242 6656 7424 7540 7696 8191 8192 8320 8584 9280 9466 9472 9620 10240 10730 11840 12064 12484 13312 13949 14848 15080 15392 15605 16382 16384 16640 17168 18560 18932 18944 19240 20480 21460 23665 23680 24128 24968 26624 27898 29696 30160 30784 31210 32764 33280 34336 37120 37864 37888 38480 40573 40955 40960 42920 47330 47360 48256 49936 53248 55796 59392 60320 61529 61568 62420 65528 66560 68672 69745 74240 75728 75776 76960 81146 81910 81920 85840 90509 94660 94720 96512 99872 106483 106496 111592 115477 118784 120640 123058 123136 124840 131056 133120 137257 137344 139490 148480 151456 151552 153920 162292 163820 171680 175121 181018 189320 189440 193024 199744 202865 212966 212992 223184 230954 237539 237568 241280 246116 246272 249680 262112 266240 274514 274688 278980 296960 302912 303067 303104 307645 307840 324584 327640 343360 350242 362036 378640 378880 386048 399488 405730 425932 446368 452545 461908 475078 475136 482560 492232 492544 499360 524224 532415 532480 549028 549376 557960 577385 593920 605824 606134 606208 615290 615680 649168 655280 686285 686720 700484 724072 757280 757760 772096 798976 811460 851864 875605 892736 905090 923816 950156 965120 984464 985088 998720 1048448 1064830 1064960 1098056 1098752 1115920 1154770 1176617 1187695 1187840 1211648 1212268 1230580 1231360 1298336 1310560 1372570 1373440 1400968 1448144 1501201 1514560 1515335 1515520 1544192 1597952 1622920 1703728 1751210 1784341 1785472 1810180 1847632 1900312 1930240 1968928 1970176 1997440 2096896 2129660 2196112 2197504 2231840 2276573 2309540 2353234 2375390 2375680 2423296 2424536 2461160 2462720 2596672 2621120 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74831550110720 76379789078528 77436759912320 77485843005440 78951791386624 81152136135680 85192841664512 86523979815520 89536253648620 91230182771702 91241320628224 91288008790784 92100369367040 95474736348160 98689739233280 100667787886016 100731595907072 105497776976384 106491052080640 112283301872864 112354472357888 114051650785280 114110010988480 116397129743206 116411340111872 117507367813120 119730480177152 123898815859712 125834734857520 125914494883840 129827567790499 129843417817088 131872221220480 138438367704832 140354127341080 140443090447360 143258005837792 145514175139840 149663100221440 152759578157056 154873519824640 157903582773248 162304272271360 170385683329024 173047959631040 179072507297240 182460365543404 182576017581568 190949472696320 197379478466560 201335575772032 201463191814144 210995553952768 212982104161280 224566603745728 224708944715776 228075456929255 228103301570560 228220021976960 232794259486412 239460960354304 247797631719424 251669469715040 251828989767680 259655135580998 259686835634176 263744442440960 276876735409664 280708254682160 280886180894720 286516011675584 290992824358015 291028350279680 299326200442880 305519156314112 309747039649280 324608544542720 340771366658048 346095919262080 358145014594480 364920731086808 365152035163136 381898945392640 394758956933120 402671151544064 421991107905536 425964208322560 449133207491456 449417889431552 456150913858510 456206603141120 456440043953920 465588518972824 495595263438848 503338939430080 503657979535360 519310271161996 527488884881920 553753470819328 561416509364320 561772361789440 573032023351168 581985648716030 582056700559360 598652400885760 619494079298560 649137838952495 649217089085440 681542733316096 692191838524160 716290029188960 729841462173616 730304070326272 763797890785280 789517913866240 805342303088128 843982215811072 851928416645120 898266414982912 912301827717020 912880087907840 931177037945648 991190526877696 1006677878860160 1007315959070720 1038620542323992 1054977769763840 1107506941638656 1122833018728640 1123544723578880 1146064046702336 1163971297432060 1197304801771520 1238988158597120 1298275677904990 1298434178170880 1384383677048320 1432580058377920 1459682924347232 1460608140652544 1527595781570560 1610684606176256 1687758381276487 1687964431622144 1703856833290240 1796532829965824 1824603655434040 1825760175815680 1862354075891296 1982381053755392 2013355757720320 2077241084647984 2109955539527680 2215013883277312 2245666037457280 2247089447157760 2292128093404672 2327942594864120 2477976317194240 2596551355809980 2768767354096640 2865160116755840 2919365848694464 2921216281305088 3221369212352512 3375516762552974 3375928863244288 3407713666580480 3593065659931648 3649207310868080 3651520351631360 3724708151782592 4026711515440640 4154482169295968 4219911079055360 4430027766554624 4491332074914560 4584256186809344 4655885189728240 4955952634388480 5193102711619960 5537534708193280 5730320233511680 5838731697388928 5842432562610176 6442738424705024 6751033525105948 7186131319863296 7298414621736160 7303040703262720 7449416303565184 8053423030881280 8308964338591936 8438791906382435 8439822158110720 8860055533109248 8982664149829120 9168512373618688 9311770379456480 9911905268776960 10386205423239920 11075069416386560 11460640467023360 11677463394777856 12885476849410048 13502067050211896 14372262639726592 14596829243472320 14606081406525440 14898832607130368 16106846061762560 16617928677183872 16877583812764870 16879644316221440 17965328299658240 18337024747237376 18623540758912960 20772410846479840 22150138832773120 22921280934046720 23354926789555712 25770953698820096 27004134100423792 28744525279453184 29193658486944640 29212162813050880 29797665214260736 32213692123525120 33235857354367744 33755167625529740 35930656599316480 36674049494474752 37247081517825920 41544821692959680 44300277665546240 45842561868093440 46709853579111424 54008268200847584 57489050558906368 58387316973889280 59595330428521472 64427384247050240 66471714708735488 67510335251059480 71861313198632960 73348098988949504 74494163035651840 83089643385919360 91685123736186880 93419707158222848 108016536401695168 116774633947778560 119190660857042944 128854768494100480 132943429417470976 135020670502118960 143722626397265920 148988326071303680 166179286771838720 183370247472373760 186839414316445696 216033072803390336 233549267895557120 238381321714085888 265886858834941952 270041341004237920 287445252794531840 297976652142607360 332358573543677440 366740494944747520 373678828632891392 432066145606780672 467098535791114240 476762643428171776 531773717669883904 540082682008475840 595953304285214720 664717147087354880 747357657265782784 864132291213561344 934197071582228480 953525286856343552 1063547435339767808 1080165364016951680 1191906608570429440 1329434294174709760 1728264582427122688 1868394143164456960 2127094870679535616 2160330728033903360 2383813217140858880 2658868588349419520 3456529164854245376 3736788286328913920 4320661456067806720 4767626434281717760 5317737176698839040 6913058329708490752 8641322912135613440 10635474353397678080 13826116659416981504 17282645824271226880 27652233318833963008 34565291648542453760 69130583297084907520 138261166594169815040
- Sum of all divisors σ(n): 379902292676609310720
- Sum of proper divisors (its aliquot sum) s(n): 241641126082439495680
- 138261166594169815040 is an abundant number, because the sum of its proper divisors (241641126082439495680) is greater than itself. Its abundance is 103379959488269680640
Bases of 138261166594169815040
- Binary: 11101111110110000100101011001111010011101001001100011000000000000002
- Hexadecimal: 0x77EC2567A7498C000
- Base-36: T6FYT48QIMUWW
Squares and roots of 138261166594169815040
- 138261166594169815040 squared (1382611665941698150402) is 19116150187980779211907242384667810201600
- 138261166594169815040 cubed (1382611665941698150403) is 2643021225779581140896257231362795134474432384926497112064000
-
The
square root of 138261166594169815040 is 11758450858.6024976865 -
The
cube root of 138261166594169815040 is 5170907.1433305571
Scales and comparisons
How big is 138261166594169815040?- 138,261,166,594,169,815,040 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,261,166,594,169,815,040 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 138261166594169815040 cubic inches would be around 430908.9 feet tall.
Recreational maths with 138261166594169815040
- 138261166594169815040 backwards is 040518961495661162831
- The number of decimal digits it has is: 21
- The sum of 138261166594169815040's digits is 86
- More coming soon!
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"Number 138261166594169815040 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 138261166594169815040 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138261166594169815040/
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Numbermatics. 2024. "Number 138261166594169815040 - Facts about the integer". https://numbermatics.com/n/138261166594169815040/
The information we have on file for 138261166594169815040 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!
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