138221691637072239
138,221,691,637,072,239 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138221691637072239 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
138221691637072239 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138221691637072239:
37 × 7 × 19 × 312 × 372 × 6012
(3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 19 × 31 × 31 × 37 × 37 × 601 × 601)See below for interesting mathematical facts about the number 138221691637072239 from the Numbermatics database.
Names of 138221691637072239
- Cardinal: 138221691637072239 can be written as One hundred thirty-eight quadrillion, two hundred twenty-one trillion, six hundred ninety-one billion, six hundred thirty-seven million, seventy-two thousand, two hundred thirty-nine.
Scientific notation
- Scientific notation: 1.38221691637072239 × 1017
Factors of 138221691637072239
Divisors of 138221691637072239
- Number of divisors d(n): 864
-
Complete list of divisors:
1 3 7 9 19 21 27 31 37 57 63 81 93 111 133 171 189 217 243 259 279 333 399 513 567 589 601 651 703 729 777 837 961 999 1147 1197 1369 1539 1701 1767 1803 1953 2109 2187 2331 2511 2883 2997 3441 3591 4107 4123 4207 4617 4921 5103 5301 5409 5859 6327 6727 6993 7533 8029 8649 8991 9583 10323 10773 11419 12321 12369 12621 13851 14763 15309 15903 16227 17577 18259 18631 18981 20181 20979 21793 22237 22599 24087 25947 26011 26973 28749 30969 32319 34257 35557 36963 37107 37863 41553 42439 44289 47709 48681 52731 54777 55893 56943 60543 62937 65379 66711 67797 72261 77841 78033 79933 80919 86247 92907 96957 102771 106671 110889 111321 113589 127317 127813 130417 132867 143127 146043 152551 155659 158193 164331 167679 170829 181629 182077 188811 196137 200133 216783 233523 234099 239799 248899 258741 278721 290871 297073 308313 320013 332667 333963 340767 353989 361201 381951 383439 391251 398601 422503 429381 438129 457653 466977 474579 492993 503037 512487 544887 546231 566433 577561 588411 600399 650349 675583 689347 700569 702297 719397 746697 776223 806341 822769 836163 891219 924939 960039 998001 1001889 1022301 1061967 1083603 1145853 1150317 1173753 1195803 1267509 1288143 1314387 1315609 1372959 1400931 1478979 1509111 1537461 1634661 1638693 1732683 1765233 1801197 1951047 2026749 2068041 2101707 2106891 2158191 2240091 2328669 2419023 2468307 2477923 2508489 2528407 2673657 2774817 2880117 2957521 2994003 3005667 3066903 3185901 3250809 3437559 3450951 3521259 3587409 3802527 3946827 4042927 4118877 4202793 4436937 4527333 4729081 4825429 4903983 4916079 5198049 5295699 5403591 5644387 5759383 5853141 6080247 6204123 6320673 6474573 6720273 6862819 6986007 7257069 7404921 7433769 7585221 8020971 8324451 8640351 8872563 9017001 9200709 9209263 9557703 9752427 10312677 10352853 10563777 10762227 10973659 11197231 11407581 11840481 12128781 12356631 12608379 13097593 13310811 13364437 13581999 14187243 14476287 14711949 14748237 15594147 15632611 15887097 16210773 16933161 17278149 17559423 18240741 18612369 18962019 19423719 20160819 20588457 20958021 21369757 21771207 22214763 22301307 22755663 24062913 24973353 24996571 25505839 25921053 26617689 27627789 28673109 29257281 30938031 31058559 31691331 32920977 33591693 34222743 35521443 36386343 37069893 37825137 39292779 39932433 40093311 40745997 42561729 43428861 44244711 46782441 46897833 47661291 48039733 48632319 50799483 51834447 54722223 55837107 56886057 58271157 60482457 61765371 64109271 65313621 66644289 66903921 68266989 72188739 74989713 76517517 76815613 77763159 78380617 79853067 82883367 86019327 87771843 91683151 92814093 93175677 93551059 95073993 98762931 100775079 102668229 106564329 109159029 109428277 111209679 113475411 117878337 120279933 127685187 130286583 132734133 140347323 140693499 144119199 149588299 152398449 155503341 164166669 167511321 174813471 174975997 178540873 181447371 185296113 192327813 195940863 199932867 200711763 204800967 212747389 216566217 224969139 229552551 230446839 235141851 239559201 248650101 253924303 258057981 263315529 275049453 279527031 280653177 285221979 296288793 302325237 308004687 319692987 327477087 328284831 333629037 340426233 347114161 353635011 360839799 383055561 390859749 398202399 406025383 414297547 421041969 422080497 432357597 448764897 457195347 466510023 484610941 492500007 494484169 502533963 524927991 535622619 544342113 555888339 576983439 587822589 599798601 602135289 614402901 638242167 649698651 674907417 688657653 691340517 705425553 718677603 745950303 761772909 774173943 789946587 790681009 825148359 841959531 888866379 906975711 924014061 959078961 982431261 984854493 1041342483 1060905033 1082519397 1149166683 1172579247 1218076149 1242892641 1263125907 1266241491 1297072791 1346294691 1371586041 1399530069 1453832823 1477500021 1483452507 1489231723 1507601889 1574783973 1606867857 1667665017 1730950317 1763467767 1777470121 1799395803 1806405867 1843208703 1914726501 2024722251 2065972959 2074021551 2116276659 2156032809 2237850909 2285318727 2372043027 2429799127 2475445077 2525878593 2666599137 2720927133 2842177681 2877236883 2900082829 2947293783 2954563479 3124027449 3182715099 3247558191 3392276587 3447500049 3461389183 3517737741 3654228447 3728677923 3798724473 3891218373 4038884073 4114758123 4198590207 4361498469 4450357521 4467695169 4724351919 4820603571 5002995051 5192850951 5332410363 5419217601 5529626109 5534767063 5744179503 6074166753 6197918877 6222064653 6348829977 6468098427 6595169059 6713552727 6855956181 7116129081 7289397381 7426335231 7577635779 7871653393 7999797411 8162781399 8526533043 8700248487 8841881349 8863690437 9372082347 9395199211 9548145297 9742674573 10176829761 10342500147 10384167549 10553213223 10962685341 11186033769 11396173419 11673655119 12116652219 12344274369 12595770621 12843223957 13084495407 13351072563 13403085507 14173055757 14461810713 15008985153 15022939171 15329009239 15578552853 15997231089 16604301189 17232538509 18222500259 18593756631 18666193959 19046489931 19785507177 20140658181 20567868543 21348387243 21868192143 22279005693 22732907337 23614960179 23999392233 24488344197 25579599129 26100745461 26591071311 28116247041 28185597633 28644435891 29228023719 30530489283 31152502647 32888056023 33558101307 34188520257 35020965357 36349956657 38529671871 39253486221 40053217689 40209256521 42519167271 43385432139 45068817513 45987027717 46166183413 46735658559 47991693267 49812903567 51697615527 54667500777 55101573751 55781269893 55998581877 57139469793 59356521531 61703605629 64045161729 65604576429 65766394477 66837017079 68198722011 70844880537 76738797387 78302236383 79773213933 84348741123 84556792899 89902567699 91591467849 93457507941 98664168069 100674303921 105062896071 105160574197 107303064673 109049869971 115589015613 117760458663 120159653067 120627769563 127557501813 130156296417 135206452539 137961083151 138498550239 143975079801 149438710701 155092846581 165304721253 167995745631 171418409379 178069564593 185110816887 192135485187 196813729287 197299183431 200511051237 204596166033 212534641611 230216392161 234906709149 239319641799 244021255183 253046223369 253670378697 269707703097 274774403547 280372523823 291251175541 295992504207 302022911763 315481722591 321909194019 327149609913 346767046839 353281375989 360478959201 361883308689 382672505439 390468889251 405619357617 413883249453 415495650717 431925239403 448316132103 465278539743 475199286409 495914163759 534208693779 555332450661 576406455561 590441187861 591897550293 637603924833 690649176483 704720127447 732063765549 759138670107 761011136091 809123109291 824323210641 841117571469 873753526623 887977512621 906068735289 946445167773 965727582057 1040301140517 1059844127967 1081436877603 1085649926067 1216858072851 1241649748359 1246486952151 1295775718209 1344948396309 1425597859227 1487742491277 1602626081337 1708148786281 1729219366683 1771323563583 1775692650879 1912811774499 2038758228787 2071947529449 2114160382341 2196191296647 2283033408273 2427369327873 2472969631923 2523352714407 2621260579869 2839335503319 2897182746171 3120903421551 3256949778201 3326395004863 3650574218553 3724949245077 3739460856453 3887327154627 4034845188927 4276793577681 4463227473831 4807878244011 5124446358843 5313970690749 5327077952637 5738435323497 6116274686361 6215842588347 6342481147023 6588573889941 6849100224819 7282107983619 7418908895769 7570058143221 7863781739607 8518006509957 8691548238513 9028786441771 9362710264653 9979185014589 10951722655659 11174847735231 11218382569359 12104535566781 12830380733043 13389682421493 14423634732033 15373339076529 15981233857911 17215305970491 18348824059083 19765721669823 20547300674457 21846323950857 23591345218821 25554019529871 26074644715539 27086359325313 28088130793959 29937555043767 32855167966977 33524543205693 33655147708077 38491142199129 40169047264479 46120017229587 47943701573733 55046472177249 59297165009469 63201505092397 65538971852571 70774035656463 76662058589613 78223934146617 81259077975939 89812665131301 100965443124231 115473426597387 120507141793437 138360051688761 143831104721199 165139416531747 177891495028407 189604515277191 196616915557713 212322106969389 229986175768839 234671802439851 243777233927817 269437995393903 346420279792161 415080155066283 495418249595241 533674485085221 568813545831573 636966320908167 731331701783451 808313986181709 1039260839376483 1245240465198849 1486254748785723 1706440637494719 2193995105350353 2424941958545127 3735721395596547 4458764246357169 5119321912484157 6581985316051059 7274825875635381 15357965737452471 19745955948153177 46073897212357413 138221691637072239
- Sum of all divisors σ(n): 265282948523174400
- Sum of proper divisors (its aliquot sum) s(n): 127061256886102161
- 138221691637072239 is a deficient number, because the sum of its proper divisors (127061256886102161) is less than itself. Its deficiency is 11160434750970078
Bases of 138221691637072239
- Binary: 1111010110000111111100101011011100100100000000001011011112
- Hexadecimal: 0x1EB0FE56E48016F
- Base-36: 11SZI0JAE3XR
Squares and roots of 138221691637072239
- 138221691637072239 squared (1382216916370722392) is 19105236039013885733333335704473121
- 138221691637072239 cubed (1382216916370722393) is 2640758044438056758540176263967776159254944510787919
-
The
square root of 138221691637072239 is 371781779.5926425427 -
The
cube root of 138221691637072239 is 517041.4981113253
Scales and comparisons
How big is 138221691637072239?- 138,221,691,637,072,239 seconds is equal to 4,395,022,246 years, 15 weeks, 2 days, 7 hours, 10 minutes, 39 seconds.
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To count from 1 to 138,221,691,637,072,239 would take you about thirteen billion, one hundred eighty-five million, sixty-six thousand, seven hundred thirty-eight 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 138221691637072239 cubic inches would be around 43086.8 feet tall.
Recreational maths with 138221691637072239
- 138221691637072239 backwards is 932270736196122831
- The number of decimal digits it has is: 18
- The sum of 138221691637072239's digits is 72
- More coming soon!
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The information we have on file for 138221691637072239 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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