138271233268767375
138,271,233,268,767,375 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138271233268767375 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
138271233268767375 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138271233268767375:
35 × 53 × 7 × 19 × 314 × 37061
(3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 19 × 31 × 31 × 31 × 31 × 37061)See below for interesting mathematical facts about the number 138271233268767375 from the Numbermatics database.
Names of 138271233268767375
- Cardinal: 138271233268767375 can be written as One hundred thirty-eight quadrillion, two hundred seventy-one trillion, two hundred thirty-three billion, two hundred sixty-eight million, seven hundred sixty-seven thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.38271233268767375 × 1017
Factors of 138271233268767375
Divisors of 138271233268767375
- Number of divisors d(n): 960
-
Complete list of divisors:
1 3 5 7 9 15 19 21 25 27 31 35 45 57 63 75 81 93 95 105 125 133 135 155 171 175 189 217 225 243 279 285 315 375 399 405 465 475 513 525 567 589 651 665 675 775 837 855 875 945 961 1085 1125 1197 1215 1395 1425 1539 1575 1701 1767 1953 1995 2025 2325 2375 2511 2565 2625 2835 2883 2945 3255 3325 3375 3591 3875 4123 4185 4275 4617 4725 4805 5301 5425 5859 5985 6075 6727 6975 7125 7533 7695 7875 8505 8649 8835 9765 9975 10125 10773 11625 12369 12555 12825 14175 14415 14725 15903 16275 16625 17577 17955 18259 20181 20615 20925 21375 23085 23625 24025 25947 26505 27125 29295 29791 29925 30375 32319 33635 34875 37061 37107 37665 38475 42525 43245 44175 47709 48825 49875 52731 53865 54777 60543 61845 62775 64125 70875 72075 73625 77841 79515 81375 87885 89373 89775 91295 100905 103075 104625 111183 111321 115425 120125 127813 129735 132525 143127 146475 148955 149625 161595 164331 168175 181629 185305 185535 188325 192375 208537 212625 216225 220875 233523 238545 244125 259427 263655 268119 269325 273885 302715 309225 313875 333549 333963 360375 383439 389205 397575 439425 446865 448875 456475 492993 504525 515375 544887 555915 556605 566029 577125 625611 639065 648675 662625 704159 715635 732375 744775 778281 804357 807975 821655 840875 908145 923521 926525 927675 941625 1000647 1001889 1042685 1081125 1148891 1150317 1167615 1192725 1297135 1318275 1340595 1346625 1369425 1478979 1513575 1546125 1634661 1667745 1669815 1698087 1876833 1917195 1946025 1987875 2112477 2197125 2234325 2282375 2334843 2413071 2464965 2522625 2724435 2770563 2779575 2783025 2830145 3001941 3128055 3195325 3243375 3446673 3450951 3520795 3578175 3723875 3891405 3962203 4021785 4039875 4108275 4436937 4540725 4617605 4632625 4638375 4929113 5003235 5009445 5094261 5213425 5630499 5744455 5751585 5838075 5963625 6337431 6464647 6485675 6591375 6702975 6847125 7004529 7239213 7394895 7567875 8042237 8173305 8311689 8338725 8349075 8490435 9005823 9384165 9585975 9730125 10340019 10352853 10562385 11171625 11674215 11886609 12065355 12324825 13622175 13852815 13897875 13915125 14150725 14787339 15009705 15282783 15640275 15976625 16891497 17233365 17254755 17546899 17603975 17890875 19012293 19393941 19457025 19811015 20108925 20541375 21013587 21828929 22184685 22703625 23088025 24126711 24645565 24935067 25016175 25047225 25471305 26067125 28152495 28722275 28757925 29190375 31020057 31058559 31687155 32323235 32428375 33514875 35022645 35615621 35659827 36196065 36974475 40211185 40866525 41558445 41693625 41745375 42452175 44362017 45029115 45848349 46920825 47929875 50674491 51700095 51764265 52640697 52811925 57036879 58181823 58371075 59433045 60326775 61624125 63040761 65486787 68110875 69264075 70753625 72380133 73936695 74805201 75048525 76413915 78201375 84457485 86166825 86273775 87734495 88019875 93060171 95061465 96969705 97285125 99055075 100544625 105067935 106846863 106979481 109144645 110923425 115440125 120633555 122828293 123227825 124675335 125080875 125236125 127356525 133086051 137545047 140762475 143611375 143789625 152802503 155100285 155292795 157922091 158435775 161616175 171110637 174545469 175113225 178078105 178299135 180980325 184872375 196460361 201055925 204332625 207792225 212260875 217140399 221810085 224415603 225145575 229241745 234604125 249309347 253372455 258500475 258821325 263203485 264059625 279180513 285184395 290909115 291855375 297165225 301633875 315203805 320540589 320938443 327433935 346320375 361900665 368484879 369683475 374026005 375242625 382069575 399258153 422287425 430834125 431368875 438672475 458407509 465300855 473766273 475307325 484848525 495275375 523636407 525339675 534234315 534897405 545723225 554617125 589381083 603167775 614141465 616139125 623376675 636782625 651421197 665430255 676696799 687725235 703812375 747928041 764012515 775501425 776463975 789610455 792178875 808080875 855553185 872727345 875566125 890390525 891495675 904901625 961621767 962815329 982301805 1005279625 1038961125 1085701995 1104084251 1105454637 1109050425 1122078015 1125727875 1146208725 1197774459 1246546735 1266862275 1292502375 1294106625 1316017425 1375222527 1395902565 1421298819 1425921975 1454545575 1485826125 1570909221 1576019025 1602702945 1604692215 1637169675 1768143249 1809503325 1842424395 1848417375 1870130025 1910347875 1954263591 1996290765 2030090397 2111437125 2193362375 2243784123 2292037545 2326504275 2368831365 2376536625 2424242625 2618182035 2626698375 2671171575 2674487025 2728616125 2884865301 2946905415 3015838875 3070707325 3116883375 3257105985 3312252753 3316363911 3327151275 3383483995 3438626175 3739640205 3820062575 3877507125 3882319875 3948052275 4125667581 4263896457 4277765925 4363636725 4451952625 4457478375 4736877593 4808108835 4814076645 4911509025 5304429747 5428509975 5520421255 5527273185 5545252125 5610390075 5731043625 5988872295 6090271191 6232733675 6334311375 6580087125 6731352369 6876112635 6979512825 7106494095 7129609875 7272727875 7728589757 7854546105 7880095125 8013514725 8023461075 8185848375 8654595903 8840716245 9047516625 9212121975 9350650125 9771317955 9936758259 9949091733 9981453825 10150451985 11218920615 11460187725 11632521375 11844156825 12377002743 13090910175 13355857875 13372435125 14210632779 14424326505 14734527075 15353536625 16285529925 16561263765 16581819555 16635756375 16917419975 17193130875 18270813573 18698201025 19100312875 19740261375 20194057107 20628337905 20977600769 21319482285 21388829625 21818183625 23185769271 23684387965 24040544175 24070383225 24557545125 26522148735 27142549875 27602106275 27636365925 28051950375 29810274777 29847275199 29944361475 30451355955 31163668375 33656761845 34226611781 34380563175 34897564125 35532470475 37131008229 38642948785 39272730525 40067573625 40117305375 42631898337 43272979515 44203581225 46060609875 48856589775 49683791295 49745458665 49907269125 50752259925 54812440719 56094603075 57300938625 59220784125 60582171321 61885013715 62932802307 65454550875 69557307813 71053163895 72121632525 73672635375 81427649625 82806318825 82909097775 84587099875 89430824331 91354067865 93491005125 100970285535 102679835343 103141689525 104888003845 106597411425 115928846355 118421939825 120202720875 120351916125 127895695011 132610743675 138010531375 138181829625 146843205383 149051373885 149236375995 149721807375 152256779775 164437322157 168283809225 171133058905 171902815875 177662352375 185655041145 188798406921 193214743925 196363652625 208671923439 213159491685 216364897575 221017906125 239586282467 244282948875 248418956475 248727293325 253761299625 268292472993 274062203595 280473015375 302910856605 308039506029 309425068575 314664011535 347786539065 355265819475 360608162625 383687085033 414031594125 414545488875 440529616149 447154121655 456770339325 504851427675 513399176715 515708447625 524440019225 532987057125 566395220763 579644231775 592109699125 626015770317 639478475055 650305623839 663053718375 718758847401 734216026915 745256869425 746181879975 761283898875 822186610785 841419046125 855665294525 924118518087 928275205725 943992034605 966073719625 1043359617195 1065797458425 1081824487875 1151061255099 1197931412335 1242094782375 1243636466625 1321588848447 1341462364965 1370311017975 1514554283025 1540197530145 1547125342875 1573320057675 1699185662289 1738932695325 1776329097375 1878047310951 1918435425165 1950916871517 2156276542203 2202648080745 2235770608275 2283851696625 2524257138375 2566995883575 2622200096125 2772355554261 2831976103815 2898221158875 3130078851585 3197392375275 3251528119195 3593794237005 3671080134575 3726284347125 3730909399875 3964766545341 4110933053925 4278326472625 4552139366873 4620592590435 4641376028625 4719960173025 5097556986867 5216798085975 5328987292125 5755306275495 5852750614551 5989657061675 6468829626609 6607944242235 6707311824825 6851555089875 7572771415125 7700987650725 7866600288375 8317066662783 8495928311445 8694663476625 9390236554755 9592177125825 9754584357585 10781382711015 11013240403725 11178853041375 11894299636023 12834979417875 13656418100619 13861777771305 14159880519075 15650394257925 15986961876375 16257640595975 17558251843653 17968971185025 18355400672875 19406488879827 19823832726705 20554665269625 22760696834365 23102962952175 23599800865125 25487784934335 26083990429875 28776531377475 29263753072755 29948285308375 32344148133045 33039721211175 33536559124125 35682898908069 38504938253625 40969254301857 41585333313915 42479641557225 46951182773775 47960885629125 48772921787925 52674755530959 53906913555075 55066202018625 58219466639481 59471498180115 68282090503095 69308888856525 70799402595375 78251971289625 81288202979875 87791259218265 89844855925125 97032444399135 99119163633525 113803484171825 115514814760875 122907762905571 127438924671675 143882656887375 146318765363775 158024266592877 161720740665225 165198606055875 178414494540345 204846271509285 207926666569575 212398207786125 234755913868875 243864608939625 263373777654795 269534567775375 291097333197405 297357490900575 341410452515475 346544444282625 368723288716713 438956296091325 485162221995675 495595818167625 569017420859125 614538814527855 637194623358375 731593826818875 790121332964385 808603703326125 892072472701725 1024231357546425 1039633332847875 1106169866150139 1316868888273975 1455486665987025 1486787454502875 1707052262577375 1843616443583565 2194781480456625 2425811109978375 3072694072639275 3950606664821925 4460362363508625 5121156787732125 5530849330750695 6584344441369875 7277433329935125 9218082217917825 15363470363196375 19753033324109625 27654246653753475 46090411089589125 138271233268767375
- Sum of all divisors σ(n): 321337947721190400
- Sum of proper divisors (its aliquot sum) s(n): 183066714452423025
- 138271233268767375 is an abundant number, because the sum of its proper divisors (183066714452423025) is greater than itself. Its abundance is 44795481183655650
Bases of 138271233268767375
- Binary: 1111010110011110011110100001111011010001111011010100011112
- Hexadecimal: 0x1EB3CF43DA3DA8F
- Base-36: 11TH27NARXXR
Squares and roots of 138271233268767375
- 138271233268767375 squared (1382712332687673752) is 19118933949665881735082651864390625
- 138271233268767375 cubed (1382712332687673753) is 2643598576004407095992138791197650262021749255859375
-
The
square root of 138271233268767375 is 371848400.9226977635 -
The
cube root of 138271233268767375 is 517103.2636693559
Scales and comparisons
How big is 138271233268767375?- 138,271,233,268,767,375 seconds is equal to 4,396,597,516 years, 48 weeks, 6 days, 6 hours, 56 minutes, 15 seconds.
-
To count from 1 to 138,271,233,268,767,375 would take you about thirteen billion, one hundred eighty-nine million, seven hundred ninety-two thousand, five hundred fifty 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 138271233268767375 cubic inches would be around 43091.9 feet tall.
Recreational maths with 138271233268767375
- 138271233268767375 backwards is 573767862332172831
- 138271233268767375 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138271233268767375's digits is 81
- More coming soon!
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The information we have on file for 138271233268767375 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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