138740950164335337
138,740,950,164,335,337 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 138740950164335337 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1200 divisors.
138740950164335337 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 138740950164335337:
32 × 7 × 13 × 17 × 19 × 234 × 374
(3 × 3 × 7 × 13 × 17 × 19 × 23 × 23 × 23 × 23 × 37 × 37 × 37 × 37)See below for interesting mathematical facts about the number 138740950164335337 from the Numbermatics database.
Names of 138740950164335337
- Cardinal: 138740950164335337 can be written as One hundred thirty-eight quadrillion, seven hundred forty trillion, nine hundred fifty billion, one hundred sixty-four million, three hundred thirty-five thousand, three hundred thirty-seven.
Scientific notation
- Scientific notation: 1.38740950164335337 × 1017
Factors of 138740950164335337
Divisors of 138740950164335337
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 3 7 9 13 17 19 21 23 37 39 51 57 63 69 91 111 117 119 133 153 161 171 207 221 247 259 273 299 323 333 357 391 399 437 481 483 529 629 663 703 741 777 819 851 897 969 1071 1173 1197 1311 1369 1443 1449 1547 1587 1729 1887 1989 2093 2109 2223 2261 2331 2553 2691 2737 2907 3059 3367 3519 3703 3933 4107 4199 4329 4403 4641 4761 4921 5083 5187 5661 5681 5957 6279 6327 6783 6877 7429 7659 8177 8211 8993 9139 9177 9583 10051 10101 11063 11109 11951 12167 12321 12597 13209 13923 14467 14763 15249 15561 16169 17043 17797 17871 18837 19573 20349 20631 22287 23273 24531 24633 26011 26979 27417 27531 28749 29393 30153 30303 31487 33189 33327 35581 35853 36501 37791 39627 39767 43401 44289 45747 48139 48507 50653 51129 52003 53391 53613 57239 58719 61893 62951 63973 66861 69819 70357 73593 77441 78033 80937 82251 83657 85169 86247 88179 90459 94461 96577 99567 101269 106743 107559 109503 113183 116909 119301 124579 130203 130663 137011 144417 145521 151959 155363 156009 158171 160173 162911 170867 171717 176157 182077 188071 188853 191919 206839 209457 210197 211071 220409 231173 232323 234099 250971 254449 255507 264537 274873 279841 283383 289731 302549 303807 320229 332741 338143 339549 350727 354571 357903 371887 373737 391989 409331 411033 433251 442187 450179 455877 466089 468027 474513 488733 512601 515151 535279 546231 564213 566559 575757 598253 620517 630591 633213 658489 661227 676039 693519 696969 724201 752913 763347 766521 818363 824619 839523 861101 869193 907647 911421 914641 962407 998223 1014429 1018647 1052181 1063713 1087541 1107197 1115661 1121211 1165019 1175967 1196069 1227993 1233099 1316497 1326561 1350537 1398267 1423539 1447873 1466199 1471379 1537803 1605837 1618211 1638693 1692639 1781143 1794759 1861551 1874161 1891773 1924111 1958887 1975467 1983681 2028117 2080557 2117843 2172603 2221271 2290041 2329187 2367001 2455089 2473857 2518569 2583303 2603209 2688907 2722941 2743923 2865317 2887221 2994669 3005249 3043287 3095309 3151253 3191139 3262623 3321591 3346983 3495057 3573349 3588207 3637933 3683979 3746953 3929941 3949491 3979683 4051611 4187771 4325633 4343619 4414137 4609423 4757297 4817511 4834531 4854633 5069407 5316979 5343429 5384277 5622483 5748431 5772333 5852327 5876661 5926401 6027707 6084351 6322079 6353529 6517809 6663813 6736849 6958627 6987561 7101003 7365267 7653043 7749909 7777289 7809627 8066721 8155133 8231769 8553401 8595951 8661663 9015747 9285927 9414613 9453759 9787869 9964773 10170301 10354117 10485171 10720047 10764621 10913799 11194313 11240859 11789823 11848473 12311417 12511291 12563313 12976899 13030857 13119127 13242411 13759819 13828269 14271891 14503593 14563899 15145247 15208221 15548897 15950937 16030287 16360919 16656623 16867449 17245293 17316999 17556981 17629983 18083121 18822349 18966237 19060587 19805323 19991439 20210547 20875881 20962683 21036743 21303009 22135361 22959129 23331867 23428881 24200163 24364093 24465399 25013443 25465531 25660203 25787853 26795437 27047241 27509587 27857781 28243839 28361277 30279431 30510903 31062351 31860737 32160141 32741397 33301079 33582939 33722577 33841717 35369469 35609059 36934251 37218853 37533873 37689939 38930697 39357381 40239017 40966289 41279457 41484807 42815673 43105703 43510779 44254553 45435741 45624663 46646691 47852811 48710389 49082757 49969869 51089233 51735879 52670943 53571301 54249363 54441023 56467047 56898711 59415969 59873807 60631641 61844861 62627643 63110229 65902291 66406083 68877387 69120727 69995601 71192107 72478819 73092279 73396197 75040329 76396593 76980609 78360191 80386311 82187027 82528761 84731517 86179919 87579037 90388643 90838293 91532709 93187053 95582211 96318733 99489559 99903237 100748817 101525151 106016729 106827177 110802753 111194213 111656559 112601619 114526433 116596361 118072143 120717051 122898867 123838371 129317109 132213913 132763659 134603521 136307223 138637261 139940073 145407817 146131167 147248271 149909607 153267699 154947527 160048421 160713903 163323069 169401141 170548651 176019989 178247907 178877647 179621421 185534583 187568059 189330687 196728223 197706873 199218249 207362181 212691947 213576321 216536099 217436457 219276837 223025159 225120987 229189779 233916923 235080573 241158933 246561081 247586283 249263413 257469199 258539757 262737111 271165929 272514879 283162591 286746633 287759693 288956199 298468677 299709711 301739921 304575453 316475837 318050187 320481531 333582639 334969677 343579299 348340681 349789083 357624631 362151153 368696601 376301137 383102329 387951327 396641739 398290977 403810563 414189581 415911783 432914027 436223451 438393501 455522429 459803097 462917767 464842581 480145263 482141709 483845089 489969207 509113303 511645953 528059967 536632941 538864263 556603749 560374139 562704177 575309189 590184669 593120619 605354003 616295051 622086543 632720501 638075841 640728963 649608297 652309371 669075477 696426913 701750769 705241719 732796951 739683243 747790239 772407597 775619271 778359491 788211333 813497787 819008357 849487773 863279079 866868597 895406031 905219763 925497391 942224647 949427511 954150561 991431169 1000747917 1017854719 1030737897 1045022043 1049367249 1072873893 1120338947 1128903411 1149306987 1175052359 1189925217 1211431689 1232139923 1242568743 1247735349 1252143529 1298742081 1308670353 1366567287 1377097561 1388753301 1394527743 1440435789 1451535267 1488843629 1515752693 1527339909 1534937859 1584179901 1609898823 1637418461 1681122417 1688112531 1725927567 1770554007 1802284393 1816062009 1848885153 1890301621 1898161503 1914227523 1948824891 1982138137 2007226431 2014317851 2089280739 2105252307 2198390853 2215330859 2243370717 2288259857 2317222791 2335078473 2438384767 2457025071 2548463319 2557466899 2589837237 2634107959 2681716303 2715659289 2776492173 2826673941 2848282533 2899327067 2974293507 3040919999 3053564157 3135066129 3188657003 3218621679 3240424369 3344379791 3361016841 3386710233 3447920961 3525157077 3563793121 3681113683 3696419769 3727706229 3756430587 3896226243 3922618973 4099701861 4114185881 4131292683 4166259903 4237478021 4314065357 4354605801 4466530887 4547258079 4582019727 4891914781 4912255383 4980330277 5043367251 5129578657 5177782701 5380089229 5406853179 5448186027 5546655459 5670904863 5694484509 5733058499 5921791577 5946414411 6042953553 6267842217 6512739593 6595172559 6618472939 6645992577 6864779571 6940018183 7005235419 7278944251 7315154301 7371075213 7672400697 7869602039 7902323877 8011835663 8045148909 8225366513 8329476519 8480021823 8654926151 8697981201 8922880521 9122759997 9160692471 9526360363 9565971009 9721273107 10033139373 10083050523 10477015867 10575471231 10647108641 10691379363 11043341049 11089259307 11269291761 11709605969 11767856919 12342557643 12393878049 12712434063 12888605197 12942196071 13232111347 13399592661 13641774237 13923142069 14174786173 14675744343 14736766149 14940990831 15388735971 16017818999 16140267687 16220559537 16854329873 17012714589 17199175497 17765374731 17839243233 17902268293 18128860659 18837192211 19538218779 19855418817 19937977731 20594338713 20820054549 21286439993 21836832753 21945462903 22802916887 23017202091 23410658537 23608806117 23706971631 24035506989 24135446727 24676099539 25767795781 25964778453 26093943603 27368279991 28579081089 28697913027 28799301167 29163819321 30099418119 31431047601 31941325923 32074138089 33130023147 34243403467 34862311939 35128817907 35303570757 37027672929 37660624603 38137302189 38665815591 38826588213 39696334041 41452541039 41769426207 42524358519 43476937283 44027233029 44822972493 45589177151 46166207913 46329310573 48053456997 48420803061 50562989619 50952609757 51597526491 53296124193 53706804879 55087214273 56082849641 56511576633 58614656337 59566256451 60584483057 62460163647 63859319979 65510498259 66684522541 68408750661 69941159977 70231975611 70826418351 72106520967 73339111069 74028298617 74529760487 77303387343 77894335359 81967241783 84665614709 85737243267 86397903501 90220236379 94293142803 94626275263 95823977769 97461994483 99223503211 102730210401 104586935817 105386453721 112514039963 112981873809 115997446773 117980309111 119089002123 123742052267 124357623117 125308278621 127573075557 130430811849 131860345477 136201206271 136767531453 138987931719 144160370991 151688968857 152224877597 152857829271 159620418209 161120414637 165261642819 168248548923 169534729899 181000846897 181753449171 184272220249 191577959937 199063301473 200053567623 205226251983 209823479931 210695926833 219106288349 220017333207 223589281461 231910162029 240971364941 244883498743 245901725349 253996844127 259193710503 269320937287 270660709137 283878825789 292385983449 296437919531 297670509633 304338560981 308190631203 313760807451 320232267587 337542119889 338945621427 353940927333 371226156801 373072869351 387649587079 391292435547 395581036431 408603618813 410302594359 416963795157 433255420853 456674632791 458573487813 478861254627 489588119839 495784928457 504745646769 524467088401 543002540691 545260347513 552816660747 592659302963 597189904419 600160702869 629470439793 657318865047 660051999621 662383926841 670767844383 722914094823 734650496229 737705176047 761990532381 787598279741 807962811861 811982127411 851636477367 866194365869 877157950347 889313758593 893011528899 913015682943 953408443897 960696802761 1012626359667 1061822781999 1065574143179 1113678470403 1162948761237 1186743109293 1225810856439 1267005928279 1289905541743 1299766262559 1370023898373 1393443110311 1436583763881 1468764359517 1533744018443 1573401265203 1608646679471 1629007622073 1658449982241 1686799554587 1714184491201 1777977908889 1791569713257 1885246561009 1971956595141 1987151780523 2075065436717 2168742284469 2203951488687 2241625873109 2362794839223 2423888435583 2587822919149 2598583097607 2667941275779 2713547109553 2739047048829 2860225331691 2882090408283 3032787945971 3132627744233 3196722429537 3488846283711 3501172184731 3671269618807 3801017784837 3869716625229 3899298787677 4163019478631 4180329330933 4406293078551 4578455933879 4601232055329 4720203795609 4825940038413 5039444632027 5060398663761 5142553473603 5333933726667 5632320471089 5655739683027 5961455341569 6225196310151 6724877619327 6818072149213 7088384517669 7365342154501 7763468757447 7795749292821 8140641328659 8580675995073 8915940502817 9098363837913 9397883232699 9590167288611 9964874679619 10503516554193 11013808856421 11260526756297 11403053354511 11609149875687 12489058435893 12540987992799 13735367801637 13803696165987 14477820115239 15118333896081 15181195991283 15427660420809 16896961413267 16967219049081 18114760434043 18675588930453 20174632857981 20454216447639 21928394209631 22096026463503 23290406272341 24421923985977 24508205293117 26747821508451 27295091513739 28193649698097 29141136350417 29894624038857 31510549662579 32049191537153 33041426569263 33781580268891 35276112424189 37467175307679 39426243297623 41206103404911 45355001688243 47726505044491 50690884239801 51557395081507 54344281302129 59519927140427 61362649342917 62411583519719 65785182628893 66288079390509 69754122757333 73524615879351 80243464525353 87423409051251 89683872116571 95749448008513 96147574611459 101344740806673 105828337272567 115907226536621 118278729892869 129543370835047 143179515133473 154672185244521 163032843906387 169402869553523 178559781421281 187234750559157 197355547886679 209262368271999 220573847638053 262270227153753 287248344025539 288442723834377 317485011817701 347721679609863 354836189678607 388630112505141 416639489982989 429538545400419 464016555733563 508208608660569 535679344263843 561704251677471 627787104815997 670246136059591 811350585756347 861745032076617 906803595845329 1043165038829589 1165890337515423 1185820086874661 1249918469948967 1524625825981707 2010738408178773 2202237304195799 2434051757269041 2720410787535987 3557460260623983 3749755409846901 6032215224536319 6606711912587397 7302155271807123 8161232362607961 10672380781871949 15415661129370593 19820135737762191 46246983388111779 138740950164335337
- Sum of all divisors σ(n): 295383628340760960
- Sum of proper divisors (its aliquot sum) s(n): 156642678176425623
- 138740950164335337 is an abundant number, because the sum of its proper divisors (156642678176425623) is greater than itself. Its abundance is 17901728012090286
Bases of 138740950164335337
- Binary: 1111011001110100000101000101110100101100001101010111010012
- Hexadecimal: 0x1ECE828BA586AE9
- Base-36: 11Y3K8LYNZS9
Squares and roots of 138740950164335337
- 138740950164335337 squared (1387409501643353372) is 19249051252502581574906402986903569
- 138740950164335337 cubed (1387409501643353373) is 2670631660534197369665294347968073199761154598117753
-
The
square root of 138740950164335337 is 372479462.7416863865 -
The
cube root of 138740950164335337 is 517688.1469971585
Scales and comparisons
How big is 138740950164335337?- 138,740,950,164,335,337 seconds is equal to 4,411,533,061 years, 15 weeks, 10 hours, 28 minutes, 57 seconds.
-
To count from 1 to 138,740,950,164,335,337 would take you about thirteen billion, two hundred thirty-four million, five hundred ninety-nine thousand, one hundred eighty-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 138740950164335337 cubic inches would be around 43140.7 feet tall.
Recreational maths with 138740950164335337
- 138740950164335337 backwards is 733533461059047831
- The number of decimal digits it has is: 18
- The sum of 138740950164335337's digits is 72
- More coming soon!
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"Number 138740950164335337 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138740950164335337 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138740950164335337/
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The information we have on file for 138740950164335337 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 138740950164335337, math, Factors of 138740950164335337, curriculum, school, college, exams, university, Prime factorization of 138740950164335337, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, seven hundred forty trillion, nine hundred fifty billion, one hundred sixty-four million, three hundred thirty-five thousand, three hundred thirty-seven.