138467431351326064
138,467,431,351,326,064 is an even composite number composed of six prime numbers multiplied together.
What does the number 138467431351326064 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1200 divisors.
138467431351326064 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 138467431351326064:
24 × 134 × 23 × 313 × 47 × 972
(2 × 2 × 2 × 2 × 13 × 13 × 13 × 13 × 23 × 31 × 31 × 31 × 47 × 97 × 97)See below for interesting mathematical facts about the number 138467431351326064 from the Numbermatics database.
Names of 138467431351326064
- Cardinal: 138467431351326064 can be written as One hundred thirty-eight quadrillion, four hundred sixty-seven trillion, four hundred thirty-one billion, three hundred fifty-one million, three hundred twenty-six thousand and sixty-four.
Scientific notation
- Scientific notation: 1.38467431351326064 × 1017
Factors of 138467431351326064
Divisors of 138467431351326064
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 4 8 13 16 23 26 31 46 47 52 62 92 94 97 104 124 169 184 188 194 208 248 299 338 368 376 388 403 496 598 611 676 713 752 776 806 961 1081 1196 1222 1261 1352 1426 1457 1552 1612 1922 2162 2197 2231 2392 2444 2522 2704 2852 2914 3007 3224 3844 3887 4324 4394 4462 4559 4784 4888 5044 5239 5704 5828 6014 6448 7688 7774 7943 8648 8788 8924 9118 9269 9409 9776 10088 10478 11408 11656 12028 12493 14053 15376 15548 15886 16393 17296 17576 17848 18236 18538 18818 18941 20176 20956 22103 23312 24056 24986 28106 28561 29003 29791 31096 31772 32786 33511 35152 35696 36472 37076 37636 37882 39091 41912 44206 45167 48112 49972 50531 56212 57122 58006 59267 59582 62192 63544 65572 67022 68107 69161 72944 74152 75272 75764 78182 83824 88412 90334 93217 99944 101062 103259 104857 112424 114244 116012 118534 119164 120497 122317 127088 131144 134044 136214 138322 141329 148304 150544 151528 156364 162409 176824 180668 182689 186434 199888 202124 206518 209714 213109 216407 224848 228488 232024 237068 238328 240994 244634 246233 262288 268088 272428 276644 282658 287339 291679 303056 312728 324818 353648 361336 365378 372868 377039 387283 404248 413036 419428 426218 432814 435643 442223 456976 464048 474136 476656 481988 489268 492466 508183 536176 544856 553288 565316 574678 583358 587171 625456 649636 656903 685193 722672 730756 745736 754078 770471 774566 808496 826072 838856 852436 865628 871286 884446 885391 899093 948272 963976 978536 984932 1016366 1038841 1089712 1106576 1130632 1149356 1166716 1174342 1211821 1299272 1313806 1342367 1363141 1370386 1400177 1461512 1491472 1508156 1540942 1549132 1566461 1590121 1652144 1677712 1704872 1731256 1742572 1768892 1770782 1798186 1837277 1927952 1957072 1969864 2032732 2077682 2111317 2143991 2261264 2298712 2333432 2348684 2374957 2423642 2598544 2627612 2684734 2726282 2740772 2770417 2800354 2813291 2889727 2923024 3016312 3081884 3098264 3132922 3180242 3201029 3250567 3409744 3462512 3485144 3537784 3541564 3596372 3674554 3735407 3791827 3939728 4065464 4155364 4222634 4287982 4381199 4597424 4666864 4697368 4749914 4847284 4901507 5034679 5255224 5369468 5452564 5481544 5540834 5600708 5626582 5663359 5748899 5779454 6032624 6163768 6196528 6265844 6360484 6402058 6501134 6606379 6708617 6970288 7075568 7083128 7192744 7349108 7470814 7583654 7633223 8130928 8310728 8445268 8575964 8762398 8907509 9042049 9394736 9499828 9694568 9803014 10016123 10069358 10171129 10510448 10738936 10905128 10963088 11081668 11201416 11253164 11326718 11497798 11558908 11688209 12327536 12531688 12720968 12804116 13002268 13212758 13417234 13504933 13708913 14166256 14385488 14698216 14941628 15167308 15266446 15753673 16621456 16890536 17151928 17524796 17720833 17815018 18084098 18202301 18999656 19389136 19606028 20032246 20138716 20342258 20363993 20671573 21477872 21810256 22163336 22402832 22506328 22653436 22995596 23117816 23376418 23884601 25063376 25441936 25608232 26004536 26425516 26834468 27009866 27417826 27447121 27871883 29396432 29883256 30334616 30532892 30874441 31507346 32204071 33781072 34303856 35049592 35441666 35630036 36168196 36404602 36572783 37566451 37999312 39212056 40064492 40277432 40684516 40727986 41343146 41613377 42257371 44326672 45012656 45306872 45991192 46235632 46752836 47769202 48560291 49293751 51216464 52009072 52851032 53668936 54019732 54835652 54894242 55743766 56955587 59766512 60669232 61065784 61748882 63014692 63719591 64408142 65450827 66463721 70099184 70883332 71260072 72336392 72809204 73145566 73623667 74735687 75132902 78424112 80128984 80554864 81369032 81455972 82686292 83226754 84514742 85882927 87212021 90613744 91982384 93505672 95538404 97120582 98587502 99231899 100767577 105702064 107337872 108039464 109671304 109788484 111487532 113911174 115797617 117546637 122131568 123497764 126029384 127439182 128816284 130209599 130901654 132224677 132927442 135817169 141766664 142520144 144672784 145618408 146291132 147247334 149471374 150265804 151946717 160257968 162738064 162911944 165372584 166453508 169029484 171765854 174424042 175564129 178215869 187011344 191076808 194241164 197175004 198463798 201535154 204797749 207967127 216078928 219342608 219576968 222975064 227822348 230370829 231595234 235093274 236629913 246995528 252058768 254878364 257632568 260419198 261803308 264449354 265854884 268730449 271634338 280303519 283533328 291236816 292582264 294494668 298942748 300531608 303893434 310499813 315304999 325823888 330745168 332907016 338058968 343531708 348848084 351128258 356431738 362334479 382153616 388482328 394350008 396927596 403070308 409595498 415934254 418652923 424976303 439153936 445950128 455644696 460741658 463190468 470186548 473259826 475446179 488363863 493991056 509756728 515265136 520838396 523606616 528898708 531709768 537460898 543268676 549345823 560607038 585164528 588989336 597885496 601063216 607786868 620999626 630609998 631283783 640818763 665814032 676117936 687063416 697696168 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3056212562 3076188869 3123794887 3276763984 3327474032 3349223384 3399810424 3403443004 3437841602 3456113492 3531246394 3643945747 3685933264 3786078608 3803569432 3828430684 3886255724 3906910904 3950614642 4036497569 4098964987 4299687184 4394766584 4484856304 4535025092 4564667354 4633612594 4710348227 4967997008 5044879984 5050270264 5126550104 5160058748 5239914004 5324741474 5407145302 5442487999 5524691939 5797351664 5923381048 5989641554 6021476084 6112425124 6152377738 6180800327 6247589774 6348730219 6446980937 6698446768 6799620848 6806886008 6875683204 6912226984 7062492788 7141495699 7287891494 7607138864 7656861368 7772511448 7813821808 7901229284 8072995138 8197929974 8330643919 8789533168 9070050184 9129334708 9267225188 9420696454 9625494203 9774454969 10100540528 10253100208 10320117496 10479828008 10649482948 10814290604 10884975998 11049383878 11232368849 11846762096 11979283108 12042952168 12224850248 12304755476 12361600654 12495179548 12630331103 12697460438 12893961874 13174265393 13613772016 13751366408 13824453968 14124985576 14282991398 14575782988 14738831549 15313722736 15545022896 15802458568 16145990276 16395859948 16661287838 17029720513 18140100368 18258669416 18534450376 18841392908 19250988406 19548909938 19569797273 19865381653 20640234992 20959656016 21298965896 21628581208 21769951996 22098767756 22345970413 22464737698 22953101561 23958566216 24085904336 24449700496 24609510952 24723201308 24990359096 25260662206 25394920876 25787923748 26348530786 27502732816 28249971152 28565982796 29151565976 29477663098 29670337801 30118481861 31604917136 32291980552 32791719896 33322575676 34059441026 35146444463 36517338832 37068900752 37682785816 38501976812 39097819876 39139594546 39730763306 39990455297 40609333531 42597931792 43257162416 43539903992 44197535512 44691940826 44929475396 45906203122 47371294711 47917132432 49219021904 49446402616 49980718192 50521324412 50789841752 51575847496 52697061572 53286544831 57131965592 58303131952 58955326196 59340675602 60236963722 61234526951 64583961104 65583439792 66645151352 68118882052 70292888926 70752343987 71820995207 75365571632 77003953624 78195639752 78279189092 79461526612 79980910594 81218667062 82533492847 83810752181 87079807984 88395071024 89383881652 89858950792 91812406244 92839444087 94742589422 98892805232 101042648824 101579683504 103151694992 105394123144 106573089662 114263931184 117910652392 118681351204 120473927444 122469053902 125131424639 127067914597 133290302704 136237764104 140585777852 141504687974 143641990414 146020795037 154007907248 156391279504 156558378184 158923053224 159961821188 162437334124 165066985694 167621504362 171265450109 178767763304 179717901584 183624812488 185678888174 189485178844 191604810137 202085297648 210788246288 213146179324 221386366669 235821304784 237362702408 240947854888 244938107804 250262849278 254135829194 258249961489 272475528208 281171555704 283009375948 287283980828 290497615369 292041590074 298390320293 303008104039 313116756368 317846106448 319923642376 324874668248 330133971388 335243008724 342530900218 357535526608 367249624976 371357776348 378970357688 383209620274 391540264193 426292358648 442772733338 456903778019 474725404816 481895709776 489876215608 500525698556 508271658388 516499922978 527921335903 562343111408 566018751896 574567961656 580995230738 584083180148 596780640586 606016208078 615826831243 639847284752 649749336496 660267942776 670486017448 685061800436 692725082803 742715552696 757940715376 766419240548 783080528386 852584717296 885545466676 913807556038 919780471831 933672937691 979752431216 1001051397112 1016543316776 1032999845956 1055842671806 1089539778353 1132037503792 1149135923312 1161990461476 1168166360296 1193561281172 1212032416156 1231653662486 1320535885552 1340972034896 1370123600872 1385450165606 1485431105392 1532838481096 1566161056772 1651882889761 1771090933352 1827615112076 1839560943662 1867345875382 1898270335481 2002102794224 2033086633552 2065999691912 2111685343612 2179079556706 2226450851417 2323980922952 2336332720592 2387122562344 2424064832312 2463307324972 2740247201744 2770900331212 2878022766697 3065676962192 3132322113544 3303765779522 3542181866704 3655230224152 3679121887324 3734691750764 3796540670962 3879074163809 3939105352507 4131999383824 4223370687224 4358159113412 4452901702834 4647961845904 4774245124688 4848129664624 4926614649944 5541800662424 5756045533394 5939749114247 6264644227088 6607531559044 6862977366739 7310460448304 7358243774648 7469383501528 7593081341924 7758148327618 7878210705014 8005748806159 8446741374448 8716318226824 8905803405668 9005426076439 9853229299888 11083601324848 11512091066788 11879498228494 12137748189983 13215063118088 13725954733478 14164017118589 14716487549296 14938767003056 15186162683848 15516296655236 15756421410028 16011497612318 17432636453648 17811606811336 18010852152878 21474477566893 23024182133576 23758996456988 24275496379966 26430126236176 27451909466956 28328034237178 28943861068421 30372325367696 31032593310472 31512842820056 32022995224636 35623213622672 36021704305756 42948955133786 46048364267152 47517992913976 48550992759932 51208369582591 54903818933912 56656068474356 57887722136842 62065186620944 63025685640112 64045990449272 72043408611512 85897910267572 89218705767607 95035985827952 97101985519864 102416739165182 109807637867824 113312136948712 115775444273684 128091980898544 144086817223024 171795820535144 178437411535214 184132222541657 194203971039728 204833478330364 226624273897424 231550888547368 279168208369609 343591641070288 356874823070428 368264445083314 376270193889473 409666956660728 463101777094736 558336416739218 665708804573683 713749646140856 736528890166628 752540387778946 819333913321456 1116672833478436 1331417609147366 1427499292281712 1473057780333256 1505080775557892 2233345666956872 2662835218294732 2946115560666512 3010161551115784 4466691333913744 5325670436589464 6020323102231568 8654214459457879 10651340873178928 17308428918915758 34616857837831516 69233715675663032 138467431351326064
- Sum of all divisors σ(n): 323382908676612096
- Sum of proper divisors (its aliquot sum) s(n): 184915477325286032
- 138467431351326064 is an abundant number, because the sum of its proper divisors (184915477325286032) is greater than itself. Its abundance is 46448045973959968
Bases of 138467431351326064
- Binary: 1111010111110111101100101001010101010100000010101011100002
- Hexadecimal: 0x1EBEF652AA81570
- Base-36: 11VELVSVG3N4
Squares and roots of 138467431351326064
- 138467431351326064 squared (1384674313513260642) is 19173229545034196174273171245732096
- 138467431351326064 cubed (1384674313513260643) is 2654867845810239221627009201930844361926410086150144
-
The
square root of 138467431351326064 is 372112122.0161015717 -
The
cube root of 138467431351326064 is 517347.7269567279
Scales and comparisons
How big is 138467431351326064?- 138,467,431,351,326,064 seconds is equal to 4,402,836,009 years, 4 weeks, 3 days, 21 minutes, 4 seconds.
-
To count from 1 to 138,467,431,351,326,064 would take you about thirteen billion, two hundred eight million, five hundred eight thousand and twenty-seven 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 138467431351326064 cubic inches would be around 43112.3 feet tall.
Recreational maths with 138467431351326064
- 138467431351326064 backwards is 460623153134764831
- The number of decimal digits it has is: 18
- The sum of 138467431351326064's digits is 67
- More coming soon!
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"Number 138467431351326064 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 138467431351326064 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138467431351326064/
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The information we have on file for 138467431351326064 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 138467431351326064, math, Factors of 138467431351326064, curriculum, school, college, exams, university, Prime factorization of 138467431351326064, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred sixty-seven trillion, four hundred thirty-one billion, three hundred fifty-one million, three hundred twenty-six thousand and sixty-four.