138720491694694229760
138,720,491,694,694,229,760 is an even composite number composed of six prime numbers multiplied together.
What does the number 138720491694694229760 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
138720491694694229760 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138720491694694229760:
28 × 33 × 5 × 11 × 5437 × 67114269503
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 5437 × 67114269503)See below for interesting mathematical facts about the number 138720491694694229760 from the Numbermatics database.
Names of 138720491694694229760
- Cardinal: 138720491694694229760 can be written as One hundred thirty-eight quintillion, seven hundred twenty quadrillion, four hundred ninety-one trillion, six hundred ninety-four billion, six hundred ninety-four million, two hundred twenty-nine thousand, seven hundred sixty.
Scientific notation
- Scientific notation: 1.3872049169469422976 × 1020
Factors of 138720491694694229760
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 67114274961
Divisors of 138720491694694229760
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 64 66 72 80 88 90 96 99 108 110 120 128 132 135 144 160 165 176 180 192 198 216 220 240 256 264 270 288 297 320 330 352 360 384 396 432 440 480 495 528 540 576 594 640 660 704 720 768 792 864 880 960 990 1056 1080 1152 1188 1280 1320 1408 1440 1485 1584 1728 1760 1920 1980 2112 2160 2304 2376 2640 2816 2880 2970 3168 3456 3520 3840 3960 4224 4320 4752 5280 5437 5760 5940 6336 6912 7040 7920 8448 8640 9504 10560 10874 11520 11880 12672 14080 15840 16311 17280 19008 21120 21748 23760 25344 27185 31680 32622 34560 38016 42240 43496 47520 48933 54370 59807 63360 65244 76032 81555 86992 95040 97866 108740 119614 126720 130488 146799 163110 173984 179421 190080 195732 217480 239228 244665 260976 293598 299035 326220 347968 358842 380160 391464 434960 478456 489330 521952 538263 587196 598070 652440 695936 717684 733995 782928 869920 897105 956912 978660 1043904 1076526 1174392 1196140 1304880 1391872 1435368 1467990 1565856 1614789 1739840 1794210 1913824 1957320 2087808 2153052 2348784 2392280 2609760 2691315 2870736 2935980 3131712 3229578 3479680 3588420 3827648 3914640 4175616 4306104 4697568 4784560 5219520 5382630 5741472 5871960 6263424 6459156 6959360 7176840 7655296 7829280 8073945 8612208 9395136 9569120 10439040 10765260 11482944 11743920 12526848 12918312 14353680 15310592 15658560 16147890 17224416 18790272 19138240 20878080 21530520 22965888 23487840 25836624 28707360 31317120 32295780 34448832 37580544 38276480 43061040 45931776 46975680 51673248 57414720 62634240 64591560 68897664 76552960 86122080 93951360 103346496 114829440 129183120 137795328 172244160 187902720 206692992 229658880 258366240 344488320 413385984 516732480 688976640 1033464960 2066929920 67114269503 134228539006 201342808509 268457078012 335571347515 402685617018 536914156024 604028425527 671142695030 738256964533 805371234036 1006714042545 1073828312048 1208056851054 1342285390060 1476513929066 1610742468072 1812085276581 2013428085090 2147656624096 2214770893599 2416113702108 2684570780120 2953027858132 3020142127635 3221484936144 3624170553162 3691284822665 4026856170180 4295313248192 4429541787198 4832227404216 5369141560240 5906055716264 6040284255270 6442969872288 6644312680797 7248341106324 7382569645330 8053712340360 8590626496384 8859083574396 9060426382905 9664454808432 10738283120480 11073854467995 11812111432528 12080568510540 12885939744576 13288625361594 14496682212648 14765139290660 16107424680720 17181252992768 17718167148792 18120852765810 19328909616864 19932938042391 21476566240960 22147708935990 23624222865056 24161137021080 25771879489152 26577250723188 28993364425296 29530278581320 32214849361440 33221563403985 35436334297584 36241705531620 38657819233728 39865876084782 42953132481920 44295417871980 47248445730112 48322274042160 51543758978304 53154501446376 57986728850592 59060557162640 64429698722880 66443126807970 70872668595168 72483411063240 77315638467456 79731752169564 85906264963840 88590835743960 94496891460224 96644548084320 99664690211955 106309002892752 115973457701184 118121114325280 128859397445760 132886253615940 141745337190336 144966822126480 154631276934912 159463504339128 177181671487920 188993782920448 193289096168640 199329380423910 212618005785504 231946915402368 236242228650560 257718794891520 265772507231880 283490674380672 289933644252960 318927008678256 354363342975840 364900283287811 386578192337280 398658760847820 425236011571008 463893830804736 472484457301120 531545014463760 566981348761344 579867288505920 637854017356512 708726685951680 729800566575622 773156384674560 797317521695640 850472023142016 944968914602240 1063090028927520 1094700849863433 1159734577011840 1275708034713024 1417453371903360 1459601133151244 1594635043391280 1700944046284032 1824501416439055 2126180057855040 2189401699726866 2319469154023680 2551416069426048 2834906743806720 2919202266302488 3189270086782560 3284102549590299 3649002832878110 4013903116165921 4252360115710080 4378803399453732 5102832138852096 5473504249317165 5838404532604976 6378540173565120 6568205099180598 7298005665756220 8027806232331842 8504720231420160 8757606798907464 9852307648770897 10947008498634330 11676809065209952 12041709348497763 12757080347130240 13136410198361196 14596011331512440 16055612464663684 16420512747951495 17515213597814928 19704615297541794 20069515580829605 21894016997268660 23353618130419904 24083418696995526 25514160694260480 26272820396722392 29192022663024880 32111224929327368 32841025495902990 35030427195629856 36125128045493289 39409230595083588 40139031161659210 43788033994537320 46707236260839808 48166837393991052 49261538243854485 52545640793444784 58384045326049760 60208546742488815 64222449858654736 65682050991805980 70060854391259712 72250256090986578 78818461190167176 80278062323318420 87576067989074640 93414472521679616 96333674787982104 98523076487708970 105091281586889568 108375384136479867 116768090652099520 120417093484977630 128444899717309472 131364101983611960 140121708782519424 144500512181973156 157636922380334352 160556124646636840 175152135978149280 180625640227466445 192667349575964208 197046152975417940 210182563173779136 216750768272959734 233536181304199040 240834186969955260 256889799434618944 262728203967223920 280243417565038848 289001024363946312 315273844760668704 321112249293273680 350304271956298560 361251280454932890 385334699151928416 394092305950835880 420365126347558272 433501536545919468 467072362608398080 481668373939910520 513779598869237888 525456407934447840 541876920682399335 578002048727892624 630547689521337408 642224498586547360 700608543912597120 722502560909865780 770669398303856832 788184611901671760 840730252695116544 867003073091838936 963336747879821040 1027559197738475776 1050912815868895680 1083753841364798670 1156004097455785248 1261095379042674816 1284448997173094720 1401217087825194240 1445005121819731560 1541338796607713664 1576369223803343520 1734006146183677872 1926673495759642080 2101825631737791360 2167507682729597340 2312008194911570496 2522190758085349632 2568897994346189440 2890010243639463120 3082677593215427328 3152738447606687040 3468012292367355744 3853346991519284160 4203651263475582720 4335015365459194680 4624016389823140992 5137795988692378880 5780020487278926240 6305476895213374080 6936024584734711488 7706693983038568320 8670030730918389360 9248032779646281984 11560040974557852480 12610953790426748160 13872049169469422976 15413387966077136640 17340061461836778720 23120081949115704960 27744098338938845952 34680122923673557440 46240163898231409920 69360245847347114880 138720491694694229760
- Sum of all divisors σ(n): 537115219645150863360
- Sum of proper divisors (its aliquot sum) s(n): 398394727950456633600
- 138720491694694229760 is an abundant number, because the sum of its proper divisors (398394727950456633600) is greater than itself. Its abundance is 259674236255762403840
Bases of 138720491694694229760
- Binary: 11110000101001000100011000000111001010000011100011001100111000000002
- Hexadecimal: 0x78522303941C66700
- Base-36: T9XLI9YVK7UO0
Squares and roots of 138720491694694229760
- 138720491694694229760 squared (1387204916946942297602) is 19243374816017730776948097181839669657600
- 138720491694694229760 cubed (1387204916946942297603) is 2669450416343275723880470715175519993415809854199274930176000
-
The
square root of 138720491694694229760 is 11777966364.9839919961 -
The
cube root of 138720491694694229760 is 5176626.9998517849
Scales and comparisons
How big is 138720491694694229760?- 138,720,491,694,694,229,760 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,720,491,694,694,229,760 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 138720491694694229760 cubic inches would be around 431385.6 feet tall.
Recreational maths with 138720491694694229760
- 138720491694694229760 backwards is 067922496496194027831
- 138720491694694229760 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 138720491694694229760's digits is 99
- More coming soon!
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The information we have on file for 138720491694694229760 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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