138078183355125552
138,078,183,355,125,552 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138078183355125552 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
138078183355125552 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138078183355125552:
24 × 35 × 7 × 11 × 67 × 131 × 52548701
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 67 × 131 × 52548701)See below for interesting mathematical facts about the number 138078183355125552 from the Numbermatics database.
Names of 138078183355125552
- Cardinal: 138078183355125552 can be written as One hundred thirty-eight quadrillion, seventy-eight trillion, one hundred eighty-three billion, three hundred fifty-five million, one hundred twenty-five thousand, five hundred fifty-two.
Scientific notation
- Scientific notation: 1.38078183355125552 × 1017
Factors of 138078183355125552
Divisors of 138078183355125552
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 67 72 77 81 84 88 99 108 112 126 131 132 134 144 154 162 168 176 189 198 201 216 231 243 252 262 264 268 297 308 324 336 378 393 396 402 432 462 469 486 504 524 528 536 567 594 603 616 648 693 737 756 786 792 804 891 917 924 938 972 1008 1048 1072 1134 1179 1188 1206 1232 1296 1386 1407 1441 1474 1512 1572 1584 1608 1701 1782 1809 1834 1848 1876 1944 2079 2096 2211 2268 2358 2376 2412 2673 2751 2772 2814 2882 2948 3024 3144 3216 3402 3537 3564 3618 3668 3696 3752 3888 4158 4221 4323 4422 4536 4716 4752 4824 5159 5346 5427 5502 5544 5628 5764 5896 6237 6288 6633 6804 7074 7128 7236 7336 7504 8253 8316 8442 8646 8777 8844 9072 9432 9648 10087 10318 10611 10692 10854 11004 11088 11256 11528 11792 12474 12663 12969 13266 13608 14148 14256 14472 14672 15477 16281 16506 16632 16884 17292 17554 17688 18711 18864 19899 20174 20636 21222 21384 21708 22008 22512 23056 24759 24948 25326 25938 26331 26532 27216 28296 28944 30261 30954 31833 32562 33012 33264 33768 34584 35108 35376 37422 37989 38907 39798 40348 41272 42444 42768 43416 44016 46431 49518 49896 50652 51876 52662 53064 56592 59697 60522 61439 61908 63666 65124 66024 67536 69168 70216 74277 74844 75978 77814 78993 79596 80696 82544 84888 86832 90783 92862 96547 99036 99792 101304 103752 105324 106128 113967 116721 119394 121044 122878 123816 127332 130248 132048 139293 140432 148554 149688 151956 155628 157986 159192 161392 169776 179091 181566 184317 185724 193094 198072 202608 207504 210648 222831 227934 233442 236979 238788 242088 245756 247632 254664 260496 272349 278586 289641 297108 299376 303912 311256 315972 318384 350163 358182 363132 368634 371448 386188 396144 417879 421296 445662 455868 466884 473958 477576 484176 491512 509328 544698 552951 557172 579282 594216 607824 622512 631944 675829 700326 710937 716364 726264 737268 742896 772376 817047 835758 868923 891324 911736 933768 947916 955152 983024 1089396 1105902 1114344 1158564 1188432 1253637 1263888 1351658 1400652 1421874 1432728 1452528 1474536 1544752 1634094 1658853 1671516 1737846 1782648 1823472 1867536 1895832 2027487 2132811 2178792 2211804 2228688 2317128 2451141 2507274 2606769 2703316 2801304 2843748 2865456 2949072 3268188 3317706 3343032 3475692 3565296 3791664 4054974 4265622 4357584 4423608 4634256 4902282 4976559 5014548 5213538 5406632 5602608 5687496 6082461 6536376 6635412 6686064 6951384 7820307 8109948 8531244 8847216 9804564 9953118 10029096 10427076 10813264 11374992 12164922 13072752 13270824 13902768 14929677 15640614 16219896 17062488 18247383 19609128 19906236 20058192 20854152 23460921 24329844 26541648 29859354 31281228 32439792 34124976 36494766 39218256 39812472 41708304 46921842 48659688 52548701 54742149 59718708 62562456 72989532 79624944 93843684 97319376 105097402 109484298 119437416 125124912 145979064 157646103 164226447 187687368 210194804 218968596 238874832 291958128 315292206 328452894 367840907 375374736 420389608 437937192 472938309 578035711 630584412 656905788 735681814 840779216 875874384 945876618 1103522721 1156071422 1261168824 1313811576 1418814927 1471363628 1734107133 1891753236 2207045442 2312142844 2522337648 2627623152 2837629854 2942727256 3310568163 3468214266 3520762967 3783506472 4046249977 4256444781 4414090884 4624285688 5202321399 5675259708 5885454512 6621136326 6883879831 6936428532 7041525934 7567012944 8092499954 8512889562 8828181768 9248571376 9931704489 10404642798 10562288901 11350519416 12138749931 12769334343 13242272652 13767759662 13872857064 14083051868 15606964197 16184999908 17025779124 17656363536 19863408978 20651639493 20809285596 21124577802 22701038832 24277499862 24645340769 25538668686 26484545304 27535519324 27745714128 28166103736 29795113467 31213928394 31686866703 32369999816 34051558248 36416249793 38728392637 39726817956 41303278986 41618571192 42249155604 46820892591 48187158817 48554999724 49290681538 51077337372 52969090608 55071038648 56332207472 59590226934 61954918479 62427856788 63373733406 64739999632 68103116496 72832499586 73936022307 75722678141 77456785274 79453635912 82606557972 83237142384 84498311208 89385340401 93641785182 95060600109 96374317634 97109999448 98581363076 102154674744 109248749379 110142077296 116185177911 119180453868 123909836958 124855713576 126747466812 140462677773 144561476451 145664999172 147872044614 151445356282 154913570548 158907271824 165213115944 168996622416 178770680802 185864755437 187283570364 190121200218 192748635268 194219998896 197162726152 204309349488 218497498758 221808066921 227168034423 232370355822 238360907736 247819673916 249711427152 253494933624 271098748459 280925355546 285181800327 289122952902 291329998344 295744089228 302890712564 309827141096 327746248137 330426231888 348555533733 357541361604 371729510874 374567140728 380242400436 385497270536 394325452304 433684429353 436994997516 443616133842 454336068846 461219948677 464740711644 476721815472 495639347832 506989867248 530058746987 542197496918 557594266311 561850711092 570363600654 578245905804 582659996688 591488178456 605781425128 619654282192 655492496274 665424200763 681504103269 697111067466 715082723208 743459021748 749134281456 760484800872 770994541072 813296245377 855545400981 867368858706 873989995032 887232267684 908672137692 922439897354 929481423288 983238744411 991278695664 1045666601199 1060117493974 1084394993836 1115188532622 1123701422184 1140727201308 1156491811608 1182976356912 1211562850256 1301053288059 1310984992548 1330848401526 1363008206538 1383659846031 1394222134932 1430165446416 1486918043496 1520969601744 1590176240961 1626592490754 1672782798933 1711090801962 1734737717412 1747979990064 1774464535368 1817344275384 1844879794708 1858962846576 1966477488822 1996272602289 2044512309807 2091333202398 2120234987948 2168789987672 2230377065244 2247402844368 2281454402616 2312983623216 2439888736131 2602106576118 2621969985096 2661696803052 2726016413076 2767319692062 2788444269864 2973836086992 3136999803597 3180352481922 3228539640739 3253184981508 3345565597866 3422181603924 3469475434824 3548929070736 3634688550768 3689759589416 3903159864177 3932954977644 3992545204578 4089024619614 4150979538093 4182666404796 4240469975896 4337579975344 4460754130488 4562908805232 4770528722883 4879777472262 5073419435447 5204213152236 5243939970192 5323393606104 5452032826152 5534639384124 5576888539728 5988817806867 6133536929421 6273999607194 6360704963844 6457079281478 6506369963016 6691131195732 6844363207848 6938950869648 7319666208393 7379519178832 7806319728354 7865909955288 7985090409156 8178049239228 8301959076186 8365332809592 8480939951792 8921508260976 9410999410791 9541057445766 9685618922217 9759554944524 10146838870894 10408426304472 10646787212208 10904065652304 11069278768248 11709479592531 11977635613734 12267073858842 12452938614279 12547999214388 12721409927688 12914158562956 13012739926032 13382262391464 13688726415696 14311586168649 14639332416786 15220258306341 15612639456708 15731819910576 15970180818312 16356098478456 16603918152372 16730665619184 18400610788263 18821998821582 19082114891532 19371237844434 19519109889048 20293677741788 20816852608944 21958998625179 22138557536496 23418959185062 23955271227468 24534147717684 24905877228558 25095998428776 25442819855376 25828317125912 26764524782928 28623172337298 29056856766651 29278664833572 30440516612682 31225278913416 31940361636624 32712196956912 33207836304744 35513936048129 36801221576526 37358815842837 37643997643164 38164229783064 38742475688868 39038219778096 40587355483576 42934758505947 43917997250358 45660774919023 46837918370124 47910542454936 49068295435368 49811754457116 50191996857552 51656634251824 57246344674596 58113713533302 58557329667144 60881033225364 62450557826832 65876995875537 66415672609488 71027872096258 73602443153052 74717631685674 75287995286328 76328459566128 77484951377736 81174710967152 85869517011894 87170570299953 87835994500716 91321549838046 93675836740248 95821084909872 98136590870736 99623508914232 106541808144387 112076447528511 114492689349192 116227427066604 117114659334288 121762066450728 128804275517841 131753991751074 136982324757069 142055744192516 147204886306104 149435263371348 150575990572656 154969902755472 171739034023788 174341140599906 175671989001432 182643099676092 187351673480496 199247017828464 213083616288774 224152895057022 228985378698384 232454854133208 243524132901456 257608551035682 261511710899859 263507983502148 273964649514138 284111488385032 294409772612208 298870526742696 319625424433161 343478068047576 348682281199812 351343978002864 365286199352184 410946974271207 426167232577548 448305790114044 464909708266416 515217102071364 523023421799718 527015967004296 547929299028276 568222976770064 597741053485392 639250848866322 686956136095152 697364562399624 730572398704368 784535132699577 821893948542414 852334465155096 896611580228088 958876273299483 1030434204142728 1046046843599436 1054031934008592 1095858598056552 1232840922813621 1278501697732644 1394729124799248 1569070265399154 1643787897084828 1704668930310192 1793223160456176 1917752546598966 2060868408285456 2092093687198872 2191717196113104 2465681845627242 2557003395465288 2876628819898449 3138140530798308 3287575794169656 3835505093197932 4184187374397744 4931363691254484 5114006790930576 5753257639796898 6276281061596616 6575151588339312 7671010186395864 8629886459695347 9862727382508968 11506515279593796 12552562123193232 15342020372791728 17259772919390694 19725454765017936 23013030559187592 34519545838781388 46026061118375184 69039091677562776 138078183355125552
- Sum of all divisors σ(n): 510950875298992128
- Sum of proper divisors (its aliquot sum) s(n): 372872691943866576
- 138078183355125552 is an abundant number, because the sum of its proper divisors (372872691943866576) is greater than itself. Its abundance is 234794508588741024
Bases of 138078183355125552
- Binary: 1111010101000110101100000010011100001110100001111001100002
- Hexadecimal: 0x1EA8D604E1D0F30
- Base-36: 11RKMPQOLF00
Squares and roots of 138078183355125552
- 138078183355125552 squared (1380781833551255522) is 19065584718651671040178189683304704
- 138078183355125552 cubed (1380781833551255523) is 2632541302554665244555463801565752753317120192196608
-
The
square root of 138078183355125552 is 371588728.7783707145 -
The
cube root of 138078183355125552 is 516862.4971883521
Scales and comparisons
How big is 138078183355125552?- 138,078,183,355,125,552 seconds is equal to 4,390,459,126 years, 43 weeks, 19 hours, 19 minutes, 12 seconds.
-
To count from 1 to 138,078,183,355,125,552 would take you about thirteen billion, one hundred seventy-one million, three hundred seventy-seven thousand, three hundred eighty 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 138078183355125552 cubic inches would be around 43071.9 feet tall.
Recreational maths with 138078183355125552
- 138078183355125552 backwards is 255521553381870831
- 138078183355125552 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138078183355125552's digits is 72
- More coming soon!
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The information we have on file for 138078183355125552 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 138078183355125552, math, Factors of 138078183355125552, curriculum, school, college, exams, university, Prime factorization of 138078183355125552, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seventy-eight trillion, one hundred eighty-three billion, three hundred fifty-five million, one hundred twenty-five thousand, five hundred fifty-two.