138441288622287420
138,441,288,622,287,420 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138441288622287420 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1152 divisors.
138441288622287420 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138441288622287420:
22 × 32 × 5 × 7 × 11 × 257 × 521 × 2411 × 30941
(2 × 2 × 3 × 3 × 5 × 7 × 11 × 257 × 521 × 2411 × 30941)See below for interesting mathematical facts about the number 138441288622287420 from the Numbermatics database.
Names of 138441288622287420
- Cardinal: 138441288622287420 can be written as One hundred thirty-eight quadrillion, four hundred forty-one trillion, two hundred eighty-eight billion, six hundred twenty-two million, two hundred eighty-seven thousand, four hundred twenty.
Scientific notation
- Scientific notation: 1.3844128862228742 × 1017
Factors of 138441288622287420
Divisors of 138441288622287420
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 257 308 315 330 385 396 420 462 495 514 521 630 660 693 770 771 924 990 1028 1042 1155 1260 1285 1386 1540 1542 1563 1799 1980 2084 2310 2313 2411 2570 2605 2772 2827 3084 3126 3465 3598 3647 3855 4620 4626 4689 4822 5140 5210 5397 5654 5731 6252 6930 7196 7233 7294 7710 7815 8481 8995 9252 9378 9644 10420 10794 10941 11308 11462 11565 12055 13860 14135 14466 14588 15420 15630 16191 16877 16962 17193 17990 18235 18756 19789 21588 21699 21882 22924 23130 23445 24110 25443 26521 26985 28270 28655 28932 30941 31260 32382 32823 33754 33924 34386 35980 36165 36470 39578 40117 42405 43398 43764 46260 46890 48220 50631 50886 51579 53042 53970 54705 56540 57310 59367 61882 64764 65646 67508 68772 72330 72940 79156 79563 80234 80955 84385 84810 85965 86796 92823 93780 98945 101262 101772 103158 106084 107940 108495 109410 114620 118734 120351 123764 127215 131292 132605 133897 144660 151893 154705 159126 160468 161910 164115 168770 169620 171930 178101 185646 185647 197890 200585 202524 206316 216587 216990 218820 237468 238689 240702 253155 254430 257895 265210 267794 278469 296835 303786 309410 318252 323820 328230 337540 340351 343860 356202 361053 371292 371294 395780 397815 401170 401691 433174 433980 464115 477378 481404 506310 508860 515790 530420 535588 556938 556941 593670 601755 607572 618820 619627 649761 656460 669485 680702 712404 722106 742588 759465 795630 802340 803382 866348 890505 928230 928235 937279 954756 1012620 1021053 1031580 1082935 1113876 1113882 1187340 1193445 1203510 1205073 1239254 1256131 1299522 1338970 1361404 1392345 1444212 1472867 1518930 1591260 1606764 1670823 1701755 1781010 1805265 1856460 1856470 1858881 1874558 1949283 2008455 2042106 2165870 2227764 2382457 2386890 2407020 2410146 2478508 2512262 2599044 2677940 2784690 2784705 2811837 2945734 3037860 3063159 3098135 3248805 3341646 3403510 3562020 3610530 3712940 3717762 3749116 3768393 3898566 4016910 4084212 4331740 4337389 4418601 4686395 4764914 4773780 4820292 5024524 5105265 5569380 5569410 5576643 5623674 5891468 6025365 6126318 6196270 6280655 6497610 6683292 6807020 6815897 7147371 7221060 7364335 7435524 7536786 7797132 7951837 8033820 8354115 8435511 8674778 8792917 8837202 9294405 9372790 9529828 9746415 10210530 10310069 11138820 11153286 11247348 11305179 11912285 12050730 12252636 12392540 12561310 12995220 13012167 13255803 13631794 13817441 14059185 14294742 14728670 15073572 15315795 15903674 16120261 16708230 16871022 17349556 17585834 17674404 18588810 18745580 18841965 19492830 20421060 20447691 20620138 21442113 21686945 22093005 22306572 22610358 23824570 23855511 24101460 25122620 26024334 26378751 26511606 27263588 27634882 27883215 28118370 28589484 29457340 30631590 30930207 31807348 32240522 33416460 33742044 34079485 35171668 35736855 37177620 37683930 38985660 39036501 39759185 40895382 41240276 41452323 42177555 42884226 43373890 43964585 44186010 45220716 47649140 47711022 47711279 48360783 51550345 52048668 52757502 53023212 55269764 55662859 55766430 56236740 56525895 61263180 61343073 61860414 64481044 65060835 66279015 68158970 69087205 71473710 71566533 74598751 75367860 78073002 79136253 79518370 80601305 81790764 82904646 84355110 85768452 86747780 87470207 87929170 88372020 92790621 95422044 95422558 96721566 96722087 102238455 103100690 105515004 107210565 111325718 111532860 112841827 113051790 119277555 122686146 123720828 124356969 130121670 131893755 132558030 136317940 138174410 142947420 143133066 143133837 145082349 149197502 154651035 156146004 158272506 159036740 161202610 165809292 166988577 168710220 174940414 175858340 177322871 185581242 190845116 193443132 193444174 195182505 204476910 206201380 207261615 214421130 222651436 223796253 225683654 226103580 238555110 238556395 241803915 245372292 248713938 260243340 262410621 263787510 265116060 276348820 278314295 286266132 286267674 290164698 290166261 298395004 306715365 309302070 316545012 322405220 322825667 333977154 338525481 349880828 354645742 357832665 371162484 372993755 386888348 390365010 395681265 408953820 414523230 428842260 429401511 437351035 447592506 451367308 463953105 477110220 477112790 483607830 483610435 497427876 500965731 522191257 524821242 527575020 531968613 556628590 564209135 572535348 580329396 580332522 612291449 613430730 618604140 621784845 645651334 667954308 671388759 677050962 709291484 715665330 715669185 725411745 745987510 780730020 787231863 791362530 820586261 829046460 834942885 858803022 870498783 874702070 886614355 895185012 927906210 954225580 967215660 967220870 968477001 1001931462 1015576443 1044382514 1049642484 1063937226 1113257180 1118981265 1128418270 1160665044 1224582898 1226861460 1241260097 1243569690 1291302668 1312053105 1342777518 1354101924 1431330660 1431338370 1450823490 1450831305 1491975020 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8704987830 9039118676 9184371735 9399442626 9684770010 9847035132 10019314620 10155764430 10443825140 10639372260 10653247011 11021246082 11171340873 11298898345 11488207654 11621724012 12245828980 12308793915 12412600970 12428721231 13427775180 13558678014 14204329348 14527155015 14770552698 14895121164 15665737710 15744637260 15959058390 16411725220 16571628308 17232311481 17409975660 17755411685 18368743470 18618901455 18798885252 19171879007 19369540020 20311528860 20338017021 20714535385 21306494022 22042492164 22342681746 22597796690 22976415308 23498606565 24617587830 24825201940 24857442462 24857576359 27117356028 27553115205 28720519135 29000349539 29054310030 29541105396 31331475420 31918116780 31959741033 33896695035 34464622962 35510823370 36737486940 36926381745 37237802910 37286163693 38343758014 38865949271 40676034042 41429070770 42612988044 44685363492 45195593380 45571977847 46997213130 49235175660 49714884924 49715152718 51696934443 53266235055 55106230410 55856704365 57441038270 57515637021 58000699078 58108620060 62143606155 63919482066 67793390070 68929245924 71021646740 73852763490 74475605820 74572327386 74572729077 76687516028 77731898542 81352068084 82858141540 86161557405 87001048617 91143955694 93994426260 95859395035 99430305436 101690085105 103393868886 106532470110 110212460820 111713408730 114882076540 115031274042 116001398156 116597847813 124287212310 124287881795 127838964132 134203153049 135586780140 136715933541 145001747695 147705526980 149144654772 149145458154 155463797084 159798705165 172323114810 172546911063 174002097234 182287911388 186430818465 191718790070 194329746355 203380170210 206787737772 210890669077 213064940220 223426817460 223718187231 227859889235 230062548084 233195695626 248574424620 248575763590 258484672215 261003145851 268406306098 272061644897 273431867082 287578185105 290003495390 298290916308 319003844929 319597410330 344646229620 345093822126 348004194468 349793543439 372861636930 372863645385 383437580140 388659492710 402609459147 406760340420 410147800623 421781338154 427525441981 435005243085 447436374462 455719778470 466391391252 497151527180 516969344430 522006291702 536812612196 544123289794 546863734164 575156370210 580006990780 582989239065 632672007231 638007689858 639194820660 671015765245 683579667705 690187644252 699587086878 745723273860 745727290770 777318985420 805218918294 816184934691 820295601246 843562676308 855050883962 862734555315 870010486170 894872748924 911439556940 957011534787 1033938688860 1044012583404 1054453345385 1088246579588 1118590936155 1150312740420 1165978478130 1207828377441 1265344014462 1276015379716 1282576325943 1305015729255 1342031530490 1360308224485 1367159335410 1399174173756 1476234683539 1491454581540 1595019224645 1610437836588 1632369869382 1640591202492 1710101767924 1725469110630 1740020972340 1748967717195 1898016021693 1914023069574 2013047295735 2050739003115 2108906690770 2137627209905 2237181872310 2331956956260 2415656754882 2448554804073 2530688028924 2565152651886 2610031458510 2684063060980 2720616448970 2734318670820 2871034604361 2952469367078 2992678093867 3163360036155 3190038449290 3264739738764 3450938221260 3497935434390 3796032043386 3828046139148 3847728977829 4026094591470 4080924673455 4101478006230 4217813381540 4275254419810 4428704050617 4474363744620 4785057673935 4831313509764 4897109608146 5130305303772 5220062917020 5441232897940 5742069208722 5904938734156 5985356187734 6039141887205 6326720072310 6380076898580 6412881629715 6995870868780 7381173417695 7592064086772 7695457955658 8052189182940 8161849346910 8202956012460 8550508839620 8857408101234 8978034281601 9490080108465 9570115347870 9794219216292 9988548962647 11484138417444 11970712375468 12078283774410 12242774020365 12653440144620 12825763259430 13286112151851 14355173021805 14762346835390 14963390469335 15390915911316 16323698693820 17714816202468 17956068563202 18980160216930 19140230695740 19238644889145 19977097925294 22143520253085 24156567548820 24485548040730 25651526518860 26572224303702 26934102844803 28710346043610 29524693670780 29926780938670 29965646887941 35912137126404 37960320433860 38477289778290 39954195850588 44287040506170 44890171408005 48971096081460 49942744813235 53144448607404 53868205689606 57420692087220 59853561877340 59931293775882 66430560759255 69919842738529 76954579556580 88574081012340 89780342816010 89896940663823 99885489626470 107736411379212 109874038589117 119862587551764 132861121518510 134670514224015 139839685477058 149828234439705 179560685632020 179793881327646 199770979252940 209759528215587 219748077178234 265722243037020 269341028448030 279679370954116 299656468879410 329622115767351 349599213692645 359587762655292 419519056431174 439496154356468 449484703319115 538682056896060 549370192945585 599312937758820 629278584646761 659244231534702 699198427385290 769118270123819 839038112862348 898969406638230 988866347302053 1048797641077935 1098740385891170 1258557169293522 1318488463069404 1398396854770580 1538236540247638 1648110578836755 1797938813276460 1977732694604106 2097595282155870 2197480771782340 2307354810371457 2517114338587044 3076473080495276 3146392923233805 3296221157673510 3845591350619095 3955465389208212 4195190564311740 4614709620742914 4944331736510265 6292785846467610 6592442315347020 6922064431114371 7691182701238190 9229419241485828 9888663473020530 11536774051857285 12585571692935220 13844128862228742 15382365402476380 19777326946041060 23073548103714570 27688257724457484 34610322155571855 46147096207429140 69220644311143710 138441288622287420
- Sum of all divisors σ(n): 526841248138942464
- Sum of proper divisors (its aliquot sum) s(n): 388399959516655044
- 138441288622287420 is an abundant number, because the sum of its proper divisors (388399959516655044) is greater than itself. Its abundance is 249958670894367624
Bases of 138441288622287420
- Binary: 1111010111101011110011110010101101001010000101010001111002
- Hexadecimal: 0x1EBD79E56942A3C
- Base-36: 11V5C9ZXK9J0
Squares and roots of 138441288622287420
- 138441288622287420 squared (1384412886222874202) is 19165990395399488249235553090256400
- 138441288622287420 cubed (1384412886222874203) is 2653364408061489142662962397144585571051882294488000
-
The
square root of 138441288622287420 is 372076992.8687978149 -
The
cube root of 138441288622287420 is 517315.1663933991
Scales and comparisons
How big is 138441288622287420?- 138,441,288,622,287,420 seconds is equal to 4,402,004,751 years, 8 weeks, 4 days, 14 hours, 57 minutes.
-
To count from 1 to 138,441,288,622,287,420 would take you about thirteen billion, two hundred six million, fourteen thousand, two hundred fifty-three 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 138441288622287420 cubic inches would be around 43109.6 feet tall.
Recreational maths with 138441288622287420
- 138441288622287420 backwards is 024782226882144831
- The number of decimal digits it has is: 18
- The sum of 138441288622287420's digits is 72
- More coming soon!
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"Number 138441288622287420 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 138441288622287420 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/138441288622287420/
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Numbermatics. 2024. "Number 138441288622287420 - Facts about the integer". https://numbermatics.com/n/138441288622287420/
The information we have on file for 138441288622287420 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 138441288622287420, math, Factors of 138441288622287420, curriculum, school, college, exams, university, Prime factorization of 138441288622287420, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred forty-one trillion, two hundred eighty-eight billion, six hundred twenty-two million, two hundred eighty-seven thousand, four hundred twenty.