138026891067780096
138,026,891,067,780,096 is an even composite number composed of five prime numbers multiplied together.
138026891067780096 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 138026891067780096:
210 × 35 × 37 × 613 × 2572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 37 × 61 × 61 × 61 × 257 × 257)See below for interesting mathematical facts about the number 138026891067780096 from the Numbermatics database.
Names of 138026891067780096
- Cardinal: 138026891067780096 can be written as One hundred thirty-eight quadrillion, twenty-six trillion, eight hundred ninety-one billion, sixty-seven million, seven hundred eighty thousand and ninety-six.
Scientific notation
- Scientific notation: 1.38026891067780096 × 1017
Factors of 138026891067780096
Divisors of 138026891067780096
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 61 64 72 74 81 96 108 111 122 128 144 148 162 183 192 216 222 243 244 256 257 288 296 324 333 366 384 432 444 486 488 512 514 549 576 592 648 666 732 768 771 864 888 972 976 999 1024 1028 1098 1152 1184 1296 1332 1464 1536 1542 1647 1728 1776 1944 1952 1998 2056 2196 2257 2304 2313 2368 2592 2664 2928 2997 3072 3084 3294 3456 3552 3721 3888 3904 3996 4112 4392 4514 4608 4626 4736 4941 5184 5328 5856 5994 6168 6588 6771 6912 6939 7104 7442 7776 7808 7992 8224 8784 8991 9028 9216 9252 9472 9509 9882 10368 10656 11163 11712 11988 12336 13176 13542 13824 13878 14208 14823 14884 15552 15616 15677 15984 16448 17568 17982 18056 18504 18944 19018 19764 20313 20736 20817 21312 22326 23424 23976 24672 26352 27084 27648 27756 28416 28527 29646 29768 31104 31232 31354 31968 32896 33489 35136 35964 36112 37008 37888 38036 39528 40626 41472 41634 42624 44652 46848 47031 47952 49344 52704 54168 55512 56832 57054 59292 59536 60939 62208 62451 62464 62708 63936 65792 66049 66978 70272 71928 72224 74016 76072 79056 81252 82944 83268 85248 85581 89304 93696 94062 95904 98688 100467 105408 108336 111024 113664 114108 118584 119072 121878 124416 124902 125416 127872 131584 132098 133956 137677 140544 141093 143856 144448 148032 152144 158112 162504 166536 170496 171162 178608 182817 187392 188124 191808 197376 198147 200934 210816 216672 222048 226981 228216 237168 238144 243756 248832 249804 250832 255744 256743 263168 264196 267912 275354 281088 282186 287712 288896 296064 301401 304288 316224 325008 333072 340992 342324 357216 365634 376248 383616 394752 396294 401868 413031 421632 423279 433344 444096 453962 456432 474336 476288 487512 499608 501664 511488 513486 528392 535824 548451 550708 562176 564372 575424 577792 580049 592128 594441 602802 608576 632448 650016 666144 680943 684648 714432 731268 752496 767232 770229 789504 792588 803736 826062 843264 846558 866688 888192 904203 907924 912864 948672 952576 956297 975024 999216 1003328 1022976 1026972 1056784 1071648 1096902 1101416 1128744 1150848 1155584 1160098 1184256 1188882 1205604 1217152 1239093 1264896 1269837 1300032 1332288 1361886 1369296 1428864 1462536 1504992 1534464 1540458 1585176 1607472 1652124 1686528 1693116 1733376 1740147 1776384 1783323 1808406 1815848 1825728 1897344 1905152 1912594 1950048 1998432 2006656 2042829 2053944 2113568 2143296 2193804 2202832 2257488 2301696 2310687 2311168 2320196 2368512 2377764 2411208 2434304 2443813 2478186 2529792 2539674 2600064 2664576 2723772 2738592 2857728 2868891 2925072 3009984 3068928 3080916 3170352 3214944 3304248 3386232 3466752 3480294 3552768 3566646 3616812 3631696 3651456 3717279 3794688 3809511 3810304 3825188 3900096 3996864 4013312 4028989 4085658 4107888 4227136 4286592 4387608 4405664 4514976 4603392 4621374 4640392 4755528 4822416 4868608 4887626 4956372 5059584 5079348 5200128 5220441 5329152 5349969 5447544 5477184 5715456 5737782 5850144 6019968 6128487 6161832 6340704 6429888 6608496 6772464 6933504 6960588 7105536 7133292 7233624 7263392 7302912 7331439 7434558 7589376 7619022 7650376 7800192 7993728 8026624 8057978 8171316 8215776 8398297 8454272 8573184 8606673 8775216 8811328 9029952 9206784 9242748 9280784 9511056 9644832 9737216 9775252 9912744 10158696 10400256 10440882 10658304 10699938 10895088 10954368 11151837 11430912 11475564 11700288 12039936 12086967 12256974 12323664 12681408 12859776 13216992 13544928 13921176 14266584 14467248 14526784 14605824 14662878 14869116 15178752 15238044 15300752 15600384 15661323 15987456 16049907 16053248 16115956 16342632 16431552 16796594 16908544 17146368 17213346 17550432 17622656 18059904 18385461 18485496 18561568 19022112 19289664 19550504 19825488 20317392 20800512 20881764 21316608 21399876 21790176 21908736 21994317 22303674 22951128 23400576 24079872 24173934 24513948 24647328 25194891 25362816 25719552 25820019 26433984 27089856 27842352 28533168 28934496 29053568 29211648 29325756 29738232 30476088 30601504 31200768 31322646 31974912 32099814 32231912 32685264 32863104 33455511 33593188 33817088 34292736 34426692 35100864 35245312 35382989 36119808 36260901 36770922 36970992 37123136 38044224 38579328 39101008 39650976 40634784 41763528 42799752 43580352 43817472 43988634 44607348 45902256 46801152 46983969 48159744 48347868 49027896 49294656 50389782 50725632 51439104 51640038 52867968 54179712 55156383 55684704 57066336 57868992 58107136 58334117 58651512 59476464 60952176 61203008 62401536 62645292 63949824 64199628 64463824 65370528 65726208 65982951 66911022 67186376 67634176 68853384 70201728 70490624 70765978 72239616 72521802 73541844 73941984 74246272 75584673 76088448 77158656 77460057 78202016 79301952 81269568 83527056 85599504 87160704 87634944 87977268 89214696 91804512 93602304 93967938 96695736 98055792 98589312 100779564 101451264 102878208 103280076 105735936 106148967 108359424 108782703 110312766 111369408 114132672 115737984 116214272 116668234 117303024 118952928 121904352 122406016 125290584 128399256 128927648 130741056 131452416 131965902 133822044 134372752 137706768 140403456 140951907 140981248 141531956 144479232 145043604 147083688 147883968 148492544 149072593 151169346 152176896 154317312 154920114 156404032 158603904 162539136 167054112 171199008 174321408 175002351 175954536 178429392 183609024 187204608 187935876 193391472 196111584 197178624 197948853 201559128 202902528 206560152 211471872 212297934 216718848 217565406 220625532 222738816 226754019 228265344 231475968 232380171 232428544 233336468 234606048 237905856 243808704 244812032 245768329 250581168 256798512 257855296 261482112 262904832 263931804 267644088 268745504 275413536 280806912 281903814 283063912 290087208 294167376 295767936 296985088 298145186 302338692 304353792 308634624 309840228 312808064 317207808 318446901 325078272 326348109 334108224 342398016 348642816 350004702 351909072 356858784 367218048 375871752 386782944 392223168 394357248 395897706 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4108776192 4125684736 4200056424 4222908864 4282305408 4299928064 4316724658 4406616576 4423829922 4510461024 4529022592 4641395328 4706678016 4725063477 4750772472 4770322976 4837419072 4957443648 5095150416 5221569744 5345731584 5366613348 5442096456 5478368256 5600075232 5630545152 5709740544 5732044218 5898439896 6013948032 6188527104 6275570688 6300084636 6334363296 6449892096 6475086987 6609924864 6635744883 6793533888 6962092992 7060017024 7155484464 7256128608 7436165472 7466766976 7507393536 7642725624 7832354616 7864586528 8018597376 8049920022 8163144684 8217552384 8400112848 8445817728 8564610816 8598066327 8599856128 8633449316 8813233152 8847659844 9020922048 9058045184 9093428173 9282790656 9413356032 9450126954 9501544944 9540645952 9674838144 9914887296 10190300832 10443139488 10733226696 10884192912 11200150464 11261090304 11419481088 11464088436 11796879792 12027896064 12074880033 12377054208 12600169272 12668726592 12899784192 12950173974 13219849728 13271489766 13587067776 13924185984 14120034048 14175190431 14310968928 14512257216 14872330944 14933533952 14991868069 15285451248 15664709232 15729173056 16037194752 16099840044 16326289368 16435104768 16800225696 16891635456 17129221632 17196132654 17266898632 17695319688 18041844096 18116090368 18186856346 18565581312 18826712064 18900253908 19003089888 19081291904 19349676288 19425260961 19829774592 19907234649 20380601664 20886278976 21466453392 21768385824 22400300928 22522180608 22928176872 23593759584 24055792128 24149760066 25200338544 25337453184 25799568384 25900347948 26439699456 26542979532 27174135552 27280284519 27848371968 28240068096 28350380862 28621937856 29024514432 29744661888 29867067904 29983736138 30570902496 31329418464 31458346112 32199680088 32652578736 33600451392 33783270912 34258443264 34392265308 34533797264 35390639376 36083688192 36224640099 36232180736 36373712692 37131162624 37800507816 38006179776 38162583808 38699352576 38850521922 39659549184 39814469298 40761203328 41772557952 42932906784 43536771648 44800601856 44975604207 45856353744 47187519168 48111584256 48299520132 50400677088 50674906368 51800695896 53085959064 54348271104 54560569038 55696743936 56480136192 56700761724 57243875712 58049028864 58275782883 59489323776 59721703947 59734135808 59967472276 61141804992 62658836928 62916692224 64399360176 65305157472 67200902784 67566541824 68784530616 69067594528 70781278752 72167376384 72449280198 72747425384 75601015632 76012359552 76325167616 77398705152 77701043844 79319098368 79628938596 81522406656 81840853557 83545115904 85865813568 87073543296 89601203712 89951208414 91712707488 94375038336 96599040264 100801354176 101349812736 103601391792 106171918128 108696542208 109121138076 111393487872 113401523448 114487751424 116098057728 116551565766 118978647552 119443407894 119934944552 122283609984 125317673856 125833384448 128798720352 130610314944 134401805568 134926812621 137569061232 138135189056 141562557504 144334752768 144898560396 145494850768 151202031264 152024719104 152650335232 155402087688 159257877192 163044813312 163681707114 167090231808 171731627136 174147086592 174827348649 179202407424 179902416828 183425414976 188750076672 193198080528 201602708352 202699625472 207202783584 212343836256 218242276152 226803046896 228975502848 232196115456 233103131532 237957295104 238886815788 239869889104 244567219968 245522560671 250635347712 251666768896 257597440704 261220629888 268803611136 269853625242 275138122464 276270378112 283125115008 289797120792 290989701536 302404062528 304049438208 310804175376 318515754384 326089626624 327363414228 334180463616 343463254272 348294173184 349654697298 359804833656 366850829952 377500153344 386396161056 403205416704 404780437863 414405567168 424687672512 436484552304 453606093792 457951005696 466206263064 477773631576 479739778208 489134439936 491045121342 501270695424 515194881408 522441259776 524482045947 537607222272 539707250484 550276244928 552540756224 554699118553 566250230016 579594241584 581979403072 604808125056 608098876416 621608350752 637031508768 654726828456 686926508544 696588346368 699309394596 719609667312 733701659904 736567682013 755000306688 772792322112 806410833408 809560875726 828811134336 849375345024 872969104608 907212187584 932412526128 955547263152 959479556416 978268879872 982090242684 1002541390848 1030389762816 1044882519552 1048964091894 1079414500968 1100552489856 1105081512448 1109398237106 1132500460032 1159188483168 1163958806144 1209616250112 1214341313589 1243216701504 1274063017536 1309453656912 1373853017088 1398618789192 1439219334624 1467403319808 1473135364026 1545584644224 1612821666816 1619121751452 1657622268672 1664097355659 1698750690048 1745938209216 1814424375168 1864825052256 1911094526304 1918959112832 1964180485368 2060779525632 2089765039104 2097928183788 2158829001936 2201104979712 2209703046039 2210163024896 2218796474212 2265000920064 2318376966336 2327917612288 2419232500224 2428682627178 2486433403008 2548126035072 2618907313824 2797237578384 2878438669248 2934806639616 2946270728052 3091169288448 3238243502904 3315244537344 3328194711318 3397501380096 3491876418432 3628848750336 3643023940767 3729650104512 3822189052608 3837918225664 3928360970736 4121559051264 4195856367576 4317658003872 4402209959424 4419406092078 4437592948424 4636753932672 4655835224576 4838465000448 4857365254356 4972866806016 4992292066977 5096252070144 5237814627648 5594475156768 5756877338496 5892541456104 6182338576896 6476487005808 6630489074688 6656389422636 6795002760192 6983752836864 7257697500672 7286047881534 7459300209024 7644378105216 7675836451328 7856721941472 8391712735152 8635316007744 8804419918848 8838812184156 8875185896848 9273507865344 9311670449152 9714730508712 9945733612032 9984584133954 10192504140288 10475629255296 11188950313536 11513754676992 11785082912208 12364677153792 12952974011616 13312778845272 13967505673728 14515395001344 14572095763068 14918600418048 14976876200931 15288756210432 15351672902656 15713443882944 16783425470304 17270632015488 17677624368312 17750371793696 18547015730688 19429461017424 19891467224064 19969168267908 20385008280576 20951258510592 22377900627072 23027509353984 23570165824416 25905948023232 26625557690544 27935011347456 29144191526136 29837200836096 29953752401862 30577512420864 31426887765888 33566850940608 34541264030976 35355248736624 35500743587392 37094031461376 38858922034848 39938336535816 41902517021184 44755801254144 44930628602793 46055018707968 47140331648832 51811896046464 53251115381088 58288383052272 59674401672192 59907504803724 61155024841728 62853775531776 67133701881216 69082528061952 70710497473248 71001487174784 77717844069696 79876673071632 83805034042368 89511602508288 89861257205586 94280663297664 103623792092928 106502230762176 116576766104544 119815009607448 125707551063552 134267403762432 134791885808379 138165056123904 141420994946496 142002974349568 155435688139392 159753346143264 179023205016576 179722514411172 188561326595328 207247584185856 213004461524352 233153532209088 239630019214896 251415102127104 268534807524864 269583771616758 282841989892992 284005948699136 310871376278784 319506692286528 359445028822344 377122653190656 414495168371712 426008923048704 466307064418176 479260038429792 537069615049728 539167543233516 565683979785984 568011897398272 621742752557568 639013384573056 718890057644688 754245306381312 852017846097408 932614128836352 958520076859584 1078335086467032 1131367959571968 1243485505115136 1278026769146112 1437780115289376 1704035692194816 1865228257672704 1917040153719168 2156670172934064 2262735919143936 2556053538292224 2875560230578752 3730456515345408 3834080307438336 4313340345868128 5112107076584448 5751120461157504 7668160614876672 8626680691736256 11502240922315008 15336321229753344 17253361383472512 23004481844630016 34506722766945024 46008963689260032 69013445533890048 138026891067780096
- Sum of all divisors σ(n): 433241709000000992
- Sum of proper divisors (its aliquot sum) s(n): 295214817932220896
- 138026891067780096 is an abundant number, because the sum of its proper divisors (295214817932220896) is greater than itself. Its abundance is 157187926864440800
Bases of 138026891067780096
- Binary: 1111010100101111010111001111000111000101111101100000000002
- Hexadecimal: 0x1EA5EB9E38BEC00
- Base-36: 11R2G6E11C00
Squares and roots of 138026891067780096
- 138026891067780096 squared (1380268910677800962) is 19051422657836832849717213413769216
- 138026891067780096 cubed (1380268910677800963) is 2629608639879482080217892879575847774025221182324736
-
The
square root of 138026891067780096 is 371519704.8176315721 -
The
cube root of 138026891067780096 is 516798.4891448179
Scales and comparisons
How big is 138026891067780096?- 138,026,891,067,780,096 seconds is equal to 4,388,828,190 years, 38 weeks, 6 days, 15 hours, 21 minutes, 36 seconds.
-
To count from 1 to 138,026,891,067,780,096 would take you about thirteen billion, one hundred sixty-six million, four hundred eighty-four thousand, five hundred seventy-two 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 138026891067780096 cubic inches would be around 43066.5 feet tall.
Recreational maths with 138026891067780096
- 138026891067780096 backwards is 690087760198620831
- 138026891067780096 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138026891067780096's digits is 81
- More coming soon!
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Numbermatics. (2024). Number 138026891067780096 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138026891067780096/
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The information we have on file for 138026891067780096 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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