138684865877161799040
138,684,865,877,161,799,040 is an even composite number composed of five prime numbers multiplied together.
What does the number 138684865877161799040 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1536 divisors.
138684865877161799040 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138684865877161799040:
27 × 35 × 5 × 1013 × 9533
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 101 × 101 × 101 × 953 × 953 × 953)See below for interesting mathematical facts about the number 138684865877161799040 from the Numbermatics database.
Names of 138684865877161799040
- Cardinal: 138684865877161799040 can be written as One hundred thirty-eight quintillion, six hundred eighty-four quadrillion, eight hundred sixty-five trillion, eight hundred seventy-seven billion, one hundred sixty-one million, seven hundred ninety-nine thousand and forty.
Scientific notation
- Scientific notation: 1.3868486587716179904 × 1020
Factors of 138684865877161799040
Divisors of 138684865877161799040
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 101 108 120 128 135 144 160 162 180 192 202 216 240 243 270 288 303 320 324 360 384 404 405 432 480 486 505 540 576 606 640 648 720 808 810 864 909 953 960 972 1010 1080 1152 1212 1215 1296 1440 1515 1616 1620 1728 1818 1906 1920 1944 2020 2160 2424 2430 2592 2727 2859 2880 3030 3232 3240 3456 3636 3812 3888 4040 4320 4545 4765 4848 4860 5184 5454 5718 5760 6060 6464 6480 7272 7624 7776 8080 8181 8577 8640 9090 9530 9696 9720 10201 10368 10908 11436 12120 12928 12960 13635 14295 14544 15248 15552 16160 16362 17154 17280 18180 19060 19392 19440 20402 21816 22872 24240 24543 25731 25920 27270 28590 29088 30496 30603 31104 32320 32724 34308 36360 38120 38784 38880 40804 40905 42885 43632 45744 48480 49086 51005 51462 51840 54540 57180 58176 60992 61206 64640 65448 68616 72720 76240 77193 77760 81608 81810 85770 87264 91488 91809 96253 96960 98172 102010 102924 109080 114360 116352 121984 122412 122715 128655 130896 137232 145440 152480 153015 154386 155520 163216 163620 171540 174528 182976 183618 192506 193920 196344 204020 205848 218160 228720 231579 244824 245430 257310 261792 274464 275427 288759 290880 304960 306030 308772 326432 327240 343080 349056 365952 367236 385012 385965 392688 408040 411696 436320 457440 459045 463158 481265 489648 490860 514620 523584 548928 550854 577518 581760 609920 612060 617544 652864 654480 686160 734472 770024 771930 785376 816080 823392 826281 866277 872640 908209 914880 918090 926316 962530 979296 981720 1029240 1030301 1047168 1097856 1101708 1155036 1157895 1224120 1235088 1305728 1308960 1372320 1377135 1443795 1468944 1540048 1543860 1570752 1632160 1646784 1652562 1732554 1745280 1816418 1829760 1836180 1852632 1925060 1958592 1963440 2058480 2060602 2203416 2310072 2315790 2448240 2470176 2478843 2598831 2617920 2724627 2744640 2754270 2887590 2937888 3080096 3087720 3090903 3141504 3264320 3293568 3305124 3465108 3632836 3672360 3705264 3850120 3917184 3926880 4116960 4121204 4131405 4331385 4406832 4541045 4620144 4631580 4896480 4940352 4957686 5151505 5197662 5235840 5449254 5489280 5508540 5775180 5875776 6160192 6175440 6181806 6528640 6610248 6930216 7265672 7344720 7410528 7700240 7796493 7853760 8173881 8233920 8242408 8262810 8662770 8813664 9082090 9240288 9263160 9272709 9721553 9792960 9880704 9915372 10303010 10395324 10898508 11017080 11550360 11751552 12320384 12350880 12363612 12394215 12994155 13220496 13623135 13860432 14531344 14689440 14821056 15400480 15454515 15592986 15707520 16347762 16467840 16484816 16525620 17325540 17627328 18164180 18480576 18526320 18545418 19443106 19585920 19830744 20606020 20790648 21797016 22034160 23100720 23389479 24521643 24701760 24727224 24788430 25988310 26440992 27246270 27720864 27818127 29062688 29164659 29378880 29642112 30800960 30909030 31185972 32695524 32969632 33051240 34651080 35254656 36328360 36961152 37052640 37090836 38886212 38982465 39661488 40869405 41212040 41581296 43594032 44068320 46201440 46363545 46778958 48607765 49043286 49403520 49454448 49576860 51976620 52881984 54492540 55441728 55636254 58125376 58329318 58757760 61601920 61818060 62371944 65391048 65939264 66102480 69302160 72656720 73564929 74105280 74181672 77772424 77964930 79322976 81738810 82424080 83162592 83454381 87188064 87493977 88136640 91729109 92402880 92727090 93557916 97215530 98086572 98908896 99153720 103953240 105763968 108985080 110883456 111272508 116250752 116658636 116947395 122608215 123636120 124743888 130782096 131878528 132204960 138604320 139090635 145313440 145823295 147129858 148210560 148363344 155544848 155929860 158645952 163477620 164848160 166325184 166908762 174376128 174987954 176273280 183458218 184805760 185454180 187115832 194431060 196173144 197817792 198307440 207906480 217970160 220694787 222545016 233317272 233894790 245216430 247272240 249487776 250363143 261564192 262481931 264409920 275187327 277208640 278181270 290626880 291646590 294259716 296726688 311089696 311859720 317291904 326955240 329696320 332650368 333817524 348752256 349975908 366916436 367824645 370908360 374231664 388862120 392346288 395635584 396614880 415812960 417271905 435940320 437469885 441389574 445090032 458645545 466634544 467789580 490432860 494544480 498975552 500726286 523128384 524963862 528819840 550374654 554417280 556362540 581253760 583293180 588519432 593453376 622179392 623719440 653910480 659392640 667635048 699951816 733832872 735649290 741816720 748463328 777724240 784692576 787445793 793229760 825561981 831625920 834543810 865523177 871880640 874939770 882779148 890180064 917291090 933269088 935579160 980865720 981876853 989088960 997951104 1001452572 1046256768 1049927724 1100749308 1103473935 1112725080 1166586360 1177038864 1186906752 1244358784 1247438880 1251815715 1307820960 1312409655 1335270096 1375936635 1399903632 1467665744 1471298580 1483633440 1496926656 1555448480 1569385152 1574891586 1586459520 1651123962 1663251840 1669087620 1731046354 1743761280 1749879540 1765558296 1780360128 1834582180 1866538176 1871158320 1961731440 1963753706 1978177920 2002905144 2099855448 2201498616 2206947870 2225450160 2333172720 2354077728 2362337379 2476685943 2494877760 2503631430 2596569531 2615641920 2624819310 2670540192 2751873270 2799807264 2935331488 2942597160 2945630559 2967266880 2993853312 3110896960 3138770304 3149783172 3302247924 3338175240 3462092708 3499759080 3531116592 3560720256 3669164360 3733076352 3742316640 3923462880 3927507412 3937228965 4005810288 4127809905 4199710896 4327615885 4402997232 4413895740 4450900320 4666345440 4708155456 4724674758 4909384265 4953371886 4989755520 5007262860 5193139062 5231283840 5249638620 5341080384 5503746540 5599614528 5870662976 5885194320 5891261118 5934533760 6221793920 6299566344 6604495848 6676350480 6924185416 6999518160 7062233184 7338328720 7430057829 7484633280 7789708593 7846925760 7855014824 7874457930 8011620576 8255619810 8399421792 8655231770 8805994464 8827791480 8836891677 8901800640 9264640009 9332690880 9416310912 9449349516 9818768530 9906743772 10014525720 10386278124 10499277240 10682160768 11007493080 11199229056 11741325952 11770388640 11782522236 11811686895 12383429715 12599132688 12982847655 13208991696 13352700960 13848370832 13999036320 14124466368 14676657440 14728152795 14860115658 14969266560 15579417186 15693851520 15710029648 15748915860 16023241152 16511239620 16798843584 17310463540 17611988928 17655582960 17673783354 17803601280 18529280018 18665381760 18898699032 19637537060 19813487544 20029051440 20772556248 20998554480 22014986160 22290173487 23369125779 23540777280 23565044472 23623373790 24766859430 25198265376 25965695310 26417983392 26510675031 26705401920 27696741664 27793920027 27998072640 28248932736 29353314880 29456305590 29720231316 31158834372 31420059296 31497831720 32046482304 33022479240 33597687168 34620927080 35223977856 35311165920 35347566708 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37764507258864 38175372044640 40023244838880 41960563620960 42107788840905 42485070666222 44146009642885 44868721495680 44914974763632 45026150443740 47205634073580 48027893806656 50352676345152 50529346609086 50900496059520 52975211571462 53364326451840 55947418161280 56143718454540 56646760888296 59886633018176 60034867258320 62940845431440 67303082243520 67372462145448 70633615428616 70808451110370 72041840709984 74858291272720 75529014517728 75794019913629 76350744089280 79462817357193 80046489677760 83921127241920 84215577681810 84970141332444 88292019285770 89829949527264 90052300887480 94411268147160 96055787613312 100705352690304 101058693218172 105950423142924 106212676665555 112287436909080 113293521776592 119773266036352 120069734516640 125881690862880 126323366522715 132438028928655 134606164487040 134744924290896 141267230857232 141616902220740 144083681419968 149716582545440 151058029035456 151588039827258 152701488178560 158925634714386 160092979355520 167842254483840 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898299495272640 906348174212736 909528238963548 953553808286316 1010586932181720 1059504231429240 1077959394327168 1130137846857856 1132935217765920 1136910298704435 1191942260357895 1212704318618064 1271405077715088 1347449242908960 1359522261319104 1412672308572320 1430330712429474 1440836814199680 1510580290354560 1515880398272580 1589256347143860 1616939091490752 1695206770286784 1699402826648880 1783498789572554 1796598990545280 1819056477927096 1907107616572632 2021173864363440 2119008462858480 2145496068644211 2265870435531840 2273820597408870 2383884520715790 2425408637236128 2542810155430176 2675248184358831 2694898485817920 2719044522638208 2825344617144640 2860661424858948 3031760796545160 3178512694287720 3233878182981504 3390413540573568 3398805653297760 3566997579145108 3575826781073685 3638112955854192 3814215233145264 4042347728726880 4238016925716960 4290992137288422 4458746973931385 4531740871063680 4547641194817740 4767769041431580 4850817274472256 5085620310860352 5350496368717662 5389796971635840 5650689234289280 5721322849717896 6063521593090320 6357025388575440 6797611306595520 7133995158290216 7151653562147370 7276225911708384 7628430466290528 8025744553076493 8084695457453760 8476033851433920 8581984274576844 8917493947862770 9095282389635480 9535538082863160 9701634548944512 10171240621720704 10700992737435324 10727480343221055 11442645699435792 12127043186180640 12714050777150880 13376240921794155 13595222613191040 14267990316580432 14303307124294740 14552451823416768 15256860932581056 16051489106152986 16169390914907520 16952067702867840 17163968549153688 17834987895725540 18190564779270960 19071076165726320 21401985474870648 21454960686442110 22885291398871584 24077233659229479 24254086372361280 25428101554301760 26752481843588310 28535980633160864 28606614248589480 29104903646833536 30513721865162112 32102978212305972 34327937098307376 35669975791451080 36381129558541920 38142152331452640 40128722765382465 42803970949741296 42909921372884220 45770582797743168 48154467318458958 48508172744722560 50856203108603520 53504963687176620 57071961266321728 57213228497178960 64205956424611944 68655874196614752 71339951582902160 72231700977688437 72762259117083840 76284304662905280 80257445530764930 85607941899482592 85819842745768440 91541165595486336 96308934636917916 107009927374353240 114143922532643456 114426456994357920 120386168296147395 128411912849223888 137311748393229504 142679903165804320 144463401955376874 145524518234167680 152568609325810560 160514891061529860 171215883798965184 171639685491536880 192617869273835832 214019854748706480 216695102933065311 228852913988715840 240772336592294790 256823825698447776 274623496786459008 285359806331608640 288926803910753748 321029782123059720 342431767597930368 343279370983073760 361158504888442185 385235738547671664 428039709497412960 433390205866130622 457705827977431680 481544673184589580 513647651396895552 570719612663217280 577853607821507496 642059564246119440 686558741966147520 722317009776884370 770471477095343328 856079418994825920 866780411732261244 963089346369179160 1027295302793791104 1083475514665326555 1155707215643014992 1284119128492238880 1373117483932295040 1444634019553768740 1540942954190686656 1712158837989651840 1733560823464522488 1926178692738358320 2166951029330653110 2311414431286029984 2568238256984477760 2889268039107537480 3081885908381373312 3467121646929044976 3852357385476716640 4333902058661306220 4622828862572059968 5136476513968955520 5778536078215074960 6934243293858089952 7704714770953433280 8667804117322612440 9245657725144119936 11557072156430149920 13868486587716179904 15409429541906866560 17335608234645224880 23114144312860299840 27736973175432359808 34671216469290449760 46228288625720599680 69342432938580899520 138684865877161799040
- Sum of all divisors σ(n): 502126288977782851200
- Sum of proper divisors (its aliquot sum) s(n): 363441423100621052160
- 138684865877161799040 is an abundant number, because the sum of its proper divisors (363441423100621052160) is greater than itself. Its abundance is 224756557223459253120
Bases of 138684865877161799040
- Binary: 11110000100101000111001111010111011001110101110101111101101100000002
- Hexadecimal: 0x784A39EBB3AEBED80
- Base-36: T9NUPZ88ORC00
Squares and roots of 138684865877161799040
- 138684865877161799040 squared (1386848658771617990402) is 19233492023366357135451880895089344921600
- 138684865877161799040 cubed (1386848658771617990403) is 2667394261610024549909454357875657772678906876965743755264000
-
The
square root of 138684865877161799040 is 11776453875.3039660109 -
The
cube root of 138684865877161799040 is 5176183.8128444011
Scales and comparisons
How big is 138684865877161799040?- 138,684,865,877,161,799,040 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,684,865,877,161,799,040 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 138684865877161799040 cubic inches would be around 431348.7 feet tall.
Recreational maths with 138684865877161799040
- 138684865877161799040 backwards is 040997161778568486831
- 138684865877161799040 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138684865877161799040's digits is 108
- More coming soon!
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The information we have on file for 138684865877161799040 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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