138042420110489475
138,042,420,110,489,475 is an odd composite number composed of eight prime numbers multiplied together.
What does the number 138042420110489475 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
138042420110489475 is an odd composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138042420110489475:
35 × 52 × 7 × 19 × 43 × 73 × 1201 × 45319
(3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 19 × 43 × 73 × 1201 × 45319)See below for interesting mathematical facts about the number 138042420110489475 from the Numbermatics database.
Names of 138042420110489475
- Cardinal: 138042420110489475 can be written as One hundred thirty-eight quadrillion, forty-two trillion, four hundred twenty billion, one hundred ten million, four hundred eighty-nine thousand, four hundred seventy-five.
Scientific notation
- Scientific notation: 1.38042420110489475 × 1017
Factors of 138042420110489475
Divisors of 138042420110489475
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 3 5 7 9 15 19 21 25 27 35 43 45 57 63 73 75 81 95 105 129 133 135 171 175 189 215 219 225 243 285 301 315 365 387 399 405 475 511 513 525 567 645 657 665 675 817 855 903 945 1075 1095 1161 1197 1201 1215 1387 1425 1505 1533 1539 1575 1701 1825 1935 1971 1995 2025 2451 2555 2565 2709 2835 3139 3225 3285 3325 3483 3591 3603 4085 4161 4275 4515 4599 4617 4725 5475 5719 5805 5913 5985 6005 6075 6935 7353 7525 7665 7695 8127 8407 8505 9417 9675 9709 9855 9975 10449 10773 10809 12255 12483 12775 12825 13545 13797 14175 15695 16425 17157 17415 17739 17955 18015 20425 20805 21973 22059 22575 22819 22995 23085 24381 25221 28251 28595 29025 29127 29565 29925 30025 32319 32427 34675 36765 37449 38325 38475 40635 41391 42035 42525 45319 47085 48545 49275 51471 51643 52245 53865 54045 59641 61275 62415 65919 66177 67725 68457 68985 73143 75663 78475 84753 85785 87075 87381 87673 88695 89775 90075 97281 104025 109865 110295 112347 114095 114975 115425 121905 124173 126105 135957 141255 142975 145635 147825 154413 154929 159733 161595 162135 178923 183825 187245 197757 198531 203175 205371 206955 210175 226595 226989 235425 242725 254259 257355 258215 261225 262143 263019 269325 270225 291843 298205 312075 317233 329595 330885 337041 342285 344925 361501 365715 378315 407871 417487 423765 428925 436905 438365 443475 463239 464787 479199 486405 536769 549325 551475 561735 570475 593271 609525 613711 616113 620865 630525 679785 680967 706275 728175 762777 772065 774645 786429 789057 798665 807975 810675 861061 894615 936225 951699 981217 988785 992655 1026855 1034775 1084503 1132975 1134945 1223613 1252461 1271295 1286775 1291075 1310715 1315095 1389717 1394361 1437597 1459215 1491025 1586165 1610307 1647975 1654425 1665787 1685205 1711425 1779813 1807505 1828575 1841133 1848339 1891575 1948717 2039355 2042901 2087435 2118825 2184525 2191825 2316195 2323935 2359287 2367171 2395995 2432025 2583183 2683845 2808675 2855097 2943651 2966355 3068555 3080565 3104325 3253509 3308287 3398925 3404835 3670839 3757383 3769939 3813885 3860325 3873225 3932145 3945285 3993325 4183083 4305305 4312791 4473075 4758495 4830921 4906085 4943925 4963275 4997361 5134275 5339439 5422515 5523399 5545017 5674725 5846151 6027427 6118065 6262305 6356475 6553575 6575475 6868519 6948585 6971805 7101513 7187985 7296075 7749549 7930825 8051535 8328935 8426025 8565291 8830953 8899065 9037525 9205665 9241695 9743585 9760527 9924861 10196775 10214505 10437175 11012517 11272149 11309817 11580975 11619675 11660509 11796435 11835855 11979975 12549249 12915915 12938373 13419225 13641019 14275485 14492763 14718255 14831775 14992083 15342775 15402825 16267545 16541435 16570197 17024175 17538453 18082281 18354195 18786915 18849695 19069425 19660725 19726425 20605557 20915415 21304539 21526525 21563955 23158009 23248647 23792475 24154605 24530425 24986805 25695873 26389573 26492859 26697195 27112575 27616995 27725085 29230755 29281581 29774583 30137135 30590325 31311525 33816447 33929451 34342595 34742925 34859025 34981527 35507565 35939925 37025623 38747745 38815119 40257675 40923057 41644675 42826455 44154765 44495325 44976249 46028325 46208475 48717925 48802635 49624305 49710591 51072525 52615359 54246843 54428119 55062585 56360745 56549085 58302545 58982175 59179275 61816671 62746245 62857453 64579575 64691865 68205095 69474027 69745941 71377425 71628841 72463815 73591275 74960415 77087619 79168719 79478577 81337725 82707175 82850985 87692265 87844743 89323749 90411405 91770975 93934575 94248475 101449341 101788353 103027785 104577075 104944581 106522695 107819775 111076869 115790045 116243235 120773025 122769171 124934025 128479365 131947865 132464295 133485975 134928747 138084975 138625425 142256341 146153775 146407905 148872915 149131773 150685675 157846077 162740529 163284357 169082235 169647255 171712975 174907635 177537825 185128115 185450013 188572359 193738725 194075595 204615285 208422081 209237823 214132275 214886523 220773825 224881245 237506157 238435731 244013175 248121525 248552955 259179361 263076795 267971247 271234215 272140595 275312925 281803725 282745425 291512725 305365059 309083355 313731225 314287265 314833743 323459325 333230607 341025475 347370135 348729705 358144205 362319075 368307513 374802075 380996833 385438095 395843595 397392885 404786241 414254925 426769023 438461325 439223715 440002171 446618745 452057025 473538231 488221587 489853071 501401887 507246705 508941765 515138925 524722905 532613475 555384345 556350039 565717077 578950225 581216175 613845855 625266243 642396825 644659569 659739325 662321475 674643735 711281705 712518471 732039525 744364575 745658865 777538083 789230385 803913741 813702645 816421785 845411175 848236275 874538175 916095177 925640575 927250065 942861795 944501229 970377975 995794387 999691821 1023076425 1034134261 1042110405 1046189115 1074432615 1104922539 1124406225 1142990499 1187530785 1192178655 1242764775 1280307069 1295896805 1315383975 1320006513 1339856235 1356171075 1360702975 1464664761 1469559213 1504205661 1526825295 1545416775 1571436325 1574168715 1666153035 1669050117 1697151231 1736850675 1743648525 1790721025 1841537565 1875798729 1904984165 1927190475 1933978707 1979217975 1986964425 2023931205 2133845115 2137555413 2196118575 2200010855 2233093725 2332614249 2340409117 2367691155 2441107935 2449265355 2507009435 2536233525 2544708825 2623614525 2702870479 2776921725 2781750195 2828585385 2833503687 2987383161 2999075463 3069229275 3102402783 3126331215 3223297845 3314767617 3373218675 3428971497 3556408525 3562592355 3728294325 3840921207 3887690415 3946151925 3960019539 3973252687 4019568705 4068513225 4082108925 4408677639 4512616983 4580475885 4636250325 4714308975 4722506145 4978971935 4998459105 5091453693 5170671305 5210552025 5230945575 5372163075 5524612695 5627396187 5714952495 5801936121 5937653925 5960893275 6401535345 6412666239 6479484025 6600032565 6699281175 6997842747 7021227351 7238939827 7323323805 7347796065 7521028305 7634126475 7870843575 8108611437 8330765175 8345250585 8485756155 8962149483 8997226389 9207687825 9307208349 9378993645 9524920825 9669893535 10119656025 10286914491 10669225575 10687777065 11000054275 11522763621 11663071245 11702045585 11838455775 11880058617 11919758061 12205539675 12246326775 12535047175 13226032917 13514352395 13537850949 13908750975 14142926925 14167518435 14936915805 14995377315 15274361079 15512013915 15631656075 16116489225 16382863819 16573838085 17144857485 17405808363 17812961775 18920093353 19204606035 19438452075 19800097695 19866263435 20097843525 20993528241 21063682053 21716819481 22043388195 22563084915 22902379425 23612530725 24325834311 24894859675 24992295525 25457268465 25853356525 26886448449 27623063475 27812768809 27921625047 28136980935 28574762475 29009680605 30860743473 32007676725 32063331195 33000162825 34568290863 34989213735 35106136755 35640175851 35759274183 36194699135 36616619025 36738980325 37605141525 40543057185 40613552847 41726252925 42428780775 44467773223 44810747415 44986131945 46536041745 46894968225 48349467675 49148591457 51434572455 53438885325 56760280059 57613818105 58315356225 58510227925 59400293085 59598790305 62980584723 63191046159 65150458443 66130164585 67571761975 67689254745 70837592175 72977502933 74684579025 74976886575 75491801053 76371805395 77560069575 80659345347 81914319095 82869190425 83438306427 83764875141 85724287425 87029041815 92582230419 94600466765 96023030175 99000488475 99331317175 104967641205 105318410265 106920527553 107277822549 108584097405 110216940975 112815424575 121629171555 121840658541 127286342325 133403319669 134432242245 139063844045 139608125235 140684904675 145048403025 147445774371 154303717365 160316655975 170280840177 170849865541 172841454315 174946068675 175530683775 178200879255 178796370915 180973495675 189573138477 195451375329 202715285925 203067764235 218932508799 222338866115 224053737075 224930659725 226475403159 232680208725 241978036041 245742957285 250314919281 251294625423 257172862275 283801400295 288069090525 297001465425 297993951525 311274412561 314902923615 315955230795 321833467647 325752292215 330650822925 338446273725 364887514665 377459005265 381859026975 400209959007 403296726735 409571595475 417191532135 418824375705 435145209075 442337323113 462911152095 473002333825 510842520531 512549596623 524838206025 526592051325 528442607371 534602637765 536389112745 542920487025 568719415431 586354125987 608145857775 609203292705 656797526397 667016598345 672161211225 679426209477 695319220225 698040626175 737228871855 750944757843 771518586825 851404200885 854249327705 864207271575 891004396275 893981854575 933823237683 947865692385 965500402941 977256876645 1015338821175 1094662543995 1111694330575 1132377015795 1195949058787 1200629877021 1209890180205 1228714786425 1251574596405 1256473127115 1327011969339 1419007001475 1532527561593 1537648789869 1556372062805 1574514618075 1579776153975 1585327822113 1609167338235 1628761461075 1759062377961 1824437573325 1887295026325 2001049795035 2016483633675 2038278628431 2085957660675 2094121878525 2211686615565 2252834273529 2314555760475 2554212602655 2562747983115 2642213036855 2673013188825 2681945563725 2801469713049 2843597077155 2931770629935 3046016463525 3246147445279 3283987631985 3335082991725 3397131047385 3587847176361 3601889631063 3686144359275 3754723789215 3981035908017 4257021004425 4271246638525 4597582684779 4612946369607 4669116188415 4739328461925 4755983466339 4827502014705 4886284383225 5473312719975 5661885078975 5979745293935 6003149385105 6049450901025 6114835885293 6257872982025 6282365635575 6635059846695 6758502820587 7662637807965 7688243949345 7781860314025 7926639110565 8045836691175 8404409139147 8795311889805 9738442335837 10005248975175 10191393142155 10763541529083 10805668893189 11058433077825 11264171367645 12771063013275 12813739915575 13211065184275 13838839108821 14007348565245 14217985385775 14267950399017 14658853149675 16230737226395 16419938159925 16985655236925 17939235881805 18009448155315 18344507655879 18773618946075 19905179540085 22723032116953 22987913423895 23064731848035 23345580942075 23779917331695 24137510073525 25213227417441 29215327007511 29898726469675 30015746925525 30574179426465 32290624587249 33175299233475 33792514102935 38313189039825 38441219746725 39633195552825 41516517326463 42022045695735 42803851197051 43976559449025 48692211679185 50956965710775 53817707645415 54028344465945 56320856838225 68169096350859 69194195544105 70036742826225 71339751995085 75639682252323 81153686131975 87645981022533 89696179409025 90047240776575 91722538279395 96871873761747 99525897700425 113615160584765 114939567119475 115323659240175 118899586658475 126066137087205 128411553591153 146076635037555 152870897132325 161453122936245 168962570514675 204507289052577 207582586632315 210110228478675 214019255985255 243461058395925 262937943067599 269088538227075 270141722329725 290615621285241 340845481754295 345970977720525 356698759975425 378198411261615 438229905112665 458612691396975 484359368808735 568075802923825 613521867157731 630330685436025 642057767955765 730383175187775 788813829202797 807265614681225 1022536445262885 1037912933161575 1070096279926275 1314689715337995 1453078106426205 1704227408771475 1840565601473193 1890992056308075 2191149525563325 2421796844043675 3067609335788655 3210288839778825 3944069146013985 5112682226314425 5521696804419579 6573448576689975 7265390532131025 9202828007365965 15338046678943275 19720345730069925 27608484022097895 46014140036829825 138042420110489475
- Sum of all divisors σ(n): 320229859799449600
- Sum of proper divisors (its aliquot sum) s(n): 182187439688960125
- 138042420110489475 is an abundant number, because the sum of its proper divisors (182187439688960125) is greater than itself. Its abundance is 44145019578470650
Bases of 138042420110489475
- Binary: 1111010100110110011011001100001101001111011110111100000112
- Hexadecimal: 0x1EA6CD9869EF783
- Base-36: 11R7YCC0496R
Squares and roots of 138042420110489475
- 138042420110489475 squared (1380424201104894752) is 19055709749960869039266924085775625
- 138042420110489475 cubed (1380424201104894753) is 2630496290807648633509038917449111679114703774046875
-
The
square root of 138042420110489475 is 371540603.5825552605 -
The
cube root of 138042420110489475 is 516817.8696312221
Scales and comparisons
How big is 138042420110489475?- 138,042,420,110,489,475 seconds is equal to 4,389,321,966 years, 14 weeks, 1 day, 6 hours, 11 minutes, 15 seconds.
-
To count from 1 to 138,042,420,110,489,475 would take you about thirteen billion, one hundred sixty-seven million, nine hundred sixty-five thousand, eight hundred ninety-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 138042420110489475 cubic inches would be around 43068.2 feet tall.
Recreational maths with 138042420110489475
- 138042420110489475 backwards is 574984011024240831
- 138042420110489475 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138042420110489475's digits is 63
- More coming soon!
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"Number 138042420110489475 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 138042420110489475 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138042420110489475/
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The information we have on file for 138042420110489475 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 138042420110489475, math, Factors of 138042420110489475, curriculum, school, college, exams, university, Prime factorization of 138042420110489475, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, forty-two trillion, four hundred twenty billion, one hundred ten million, four hundred eighty-nine thousand, four hundred seventy-five.