107142982717134375
107,142,982,717,134,375 is an odd composite number composed of five prime numbers multiplied together.
What does the number 107142982717134375 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
107142982717134375 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 107142982717134375:
33 × 55 × 114 × 672 × 1392
(3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 67 × 67 × 139 × 139)See below for interesting mathematical facts about the number 107142982717134375 from the Numbermatics database.
Names of 107142982717134375
- Cardinal: 107142982717134375 can be written as One hundred seven quadrillion, one hundred forty-two trillion, nine hundred eighty-two billion, seven hundred seventeen million, one hundred thirty-four thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.07142982717134375 × 1017
Factors of 107142982717134375
Divisors of 107142982717134375
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 3 5 9 11 15 25 27 33 45 55 67 75 99 121 125 135 139 165 201 225 275 297 335 363 375 417 495 603 605 625 675 695 737 825 1005 1089 1125 1251 1331 1375 1485 1529 1675 1809 1815 1875 2085 2211 2475 3015 3025 3125 3267 3375 3475 3685 3753 3993 4125 4489 4587 5025 5445 5625 6255 6633 6655 6875 7425 7645 8107 8375 9045 9075 9313 9375 10425 11055 11979 12375 13467 13761 14641 15075 15125 16335 16819 16875 17375 18425 18765 19321 19899 19965 20625 22445 22935 24321 25125 27225 27939 28125 31275 33165 33275 34375 35937 37125 38225 40401 40535 41283 41875 43923 45225 45375 46565 49379 50457 52125 55275 57963 59895 61875 67335 68805 72963 73205 75375 75625 81675 83817 84095 84375 86875 89177 92125 93825 96605 99495 99825 102443 103125 112225 114675 121203 121605 125625 131769 136125 139695 148137 151371 156375 165825 166375 173889 179685 185009 185625 191125 202005 202675 206415 209375 212531 218889 219615 226125 226875 232825 246895 251451 252285 260625 267531 276375 289815 299475 307329 309375 336675 344025 364815 366025 376875 378125 395307 408375 419085 420475 434375 444411 445885 454113 460625 469125 483025 497475 499125 512215 521667 543169 555027 561125 573375 606015 608025 623971 628125 637593 658845 680625 698475 740685 756855 781875 802593 829125 831875 869445 898425 921987 925045 928125 955625 980947 1010025 1013375 1032075 1062655 1094445 1098075 1126873 1130625 1134375 1164125 1234475 1257255 1261425 1294507 1303125 1333233 1337655 1381875 1449075 1497375 1536645 1629507 1665081 1683375 1720125 1824075 1830125 1871913 1884375 1912779 1976535 2035099 2041875 2095425 2102375 2222055 2229425 2270565 2303125 2337841 2345625 2407779 2415125 2487375 2495625 2561075 2608335 2715845 2765961 2775135 2805625 2866875 2942841 3030075 3040125 3119855 3187965 3294225 3380619 3403125 3492375 3703425 3784275 3883521 3909375 4012965 4145625 4159375 4347225 4492125 4609935 4625225 4778125 4888521 4904735 4995243 5050125 5066875 5160375 5313275 5472225 5490375 5615739 5634365 5653125 5738337 5820625 5974859 6105297 6172375 6286275 6307125 6472535 6666165 6688275 6863681 6909375 7013523 7245375 7486875 7683225 8147535 8325405 8416875 8600625 8828523 9120375 9150625 9359565 9563895 9882675 10141857 10175495 10209375 10477125 10511875 11110275 11147125 11352825 11650563 11689205 11728125 12038895 12075625 12395603 12436875 12478125 12805375 13041675 13579225 13829805 13875675 14028125 14239577 14334375 14665563 14714205 15150375 15200625 15599275 15939825 16471125 16847217 16903095 17461875 17924577 18315891 18517125 18921375 19417605 20064825 20591043 20728125 21040569 21736125 22460625 23049675 23126125 24442605 24523675 24976215 25250625 25334375 25716251 25801875 26485569 26566375 27361125 27451875 28078695 28171825 28691685 29103125 29874295 30425571 30526485 30861875 31431375 31535625 32362675 33330825 33441375 34318405 34951689 35067615 36226875 37186809 37434375 38416125 40737675 41627025 42084375 42718731 43003125 44142615 45601875 45753125 46797825 47819475 49413375 50709285 50877475 52385625 52559375 53773731 54947673 55551375 55735625 56764125 58252815 58446025 60194475 60378125 61773129 61978015 62184375 63121707 64026875 65208375 65723449 67896125 69149025 69378375 71197885 73327815 73571025 75500491 75751875 76003125 77148753 77996375 79699125 82355625 84236085 84515475 86731969 87309375 89622885 91579455 92585625 94606875 97088025 100324125 102955215 105202845 108680625 111560427 112303125 115248375 115630625 122213025 122618375 124881075 126253125 128156193 128581255 129009375 132427845 132831875 136351633 136805625 137259375 140393475 140859125 143458425 149371475 152127855 152632425 154309375 156635347 157156875 157678125 161321193 161813375 166654125 167206875 171592025 174758445 175338075 181134375 185319387 185934045 192080625 197170347 203688375 208135125 213593655 220713075 226501473 228009375 231446259 233989125 239097375 247066875 253546425 254387375 260195907 261928125 268868655 274738365 277756875 278678125 282878761 283820625 291264075 292230125 300972375 308865645 309890075 315608535 320134375 326041875 328617245 334681281 339480625 345745125 346891875 355989425 366639075 367855125 377502455 378759375 384468579 385743765 389981875 398495625 409054899 411778125 421180425 422577375 433659845 448114425 457897275 462928125 469906041 473034375 485440125 501620625 514776075 526014225 543403125 557802135 576241875 578153125 591511041 611065125 613091875 624405375 640780965 642906275 662139225 664159375 679504419 681758165 684028125 694338777 701967375 704295625 717292125 746857375 760639275 763162125 780587721 783176735 785784375 806605965 809066875 830505401 833270625 836034375 848636283 857960125 873792225 876690375 926596935 929670225 954051659 960403125 985851735 1018441875 1040675625 1067968275 1103565375 1132507365 1157231295 1169945625 1195486875 1227164697 1235334375 1267732125 1271936875 1300979535 1344343275 1373691825 1388784375 1409718123 1414393805 1419103125 1456320375 1461150625 1504861875 1544328225 1549450375 1578042675 1630209375 1643086225 1673406405 1697403125 1722988817 1728725625 1734459375 1774533123 1779947125 1833195375 1839275625 1887512275 1922342895 1928718825 1949909375 1992478125 2038513257 2045274495 2105902125 2112886875 2168299225 2240572125 2289486375 2341763163 2349530205 2427200625 2491516203 2508103125 2545908849 2573880375 2630071125 2789010675 2862154977 2881209375 2957555205 3055325625 3065459375 3122026875 3203904825 3214531375 3310696125 3397522095 3408790825 3471693885 3509836875 3521478125 3586460625 3681494091 3734286875 3803196375 3815810625 3902938605 3915883675 4033029825 4045334375 4152527005 4166353125 4229154369 4243181415 4289800625 4368961125 4383451875 4632984675 4648351125 4770258295 4929258675 5092209375 5168966451 5203378125 5339841375 5517826875 5662536825 5786156475 5849728125 5977434375 6135823485 6338660625 6359684375 6504897675 6721716375 6868459125 7048590615 7071969025 7281601875 7305753125 7474548609 7524309375 7637726547 7721641125 7747251875 7890213375 8215431125 8367032025 8586464931 8614944085 8643628125 8872665615 8899735625 9135559411 9165976875 9196378125 9437561375 9611714475 9643594125 10192566285 10226372475 10494568249 10529510625 10564434375 10841496125 11202860625 11447431875 11708815815 11747651025 12136003125 12457581015 12729544245 12869401875 13150355625 13945053375 14310774885 14787776025 15276628125 15506899353 15610134375 16019524125 16072656875 16553480625 16987610475 17043954125 17358469425 17549184375 17932303125 18407470455 18671434375 18952876987 19015981875 19079053125 19514693025 19579418375 20165149125 20762635025 21145771845 21215907075 21449003125 21844805625 21917259375 22423645827 23164923375 23241755625 23851291475 24646293375 25759394793 25844832255 26699206875 27406678233 27589134375 28312684125 28930782375 30679117425 31483704747 31693303125 32524488375 33608581875 34342295625 35242953075 35359845125 36408009375 37372743045 38188632735 38608205625 38736259375 39451066875 41077155625 41835160125 42932324655 43074720425 44363328075 44498678125 45677797055 45829884375 46520698059 47187806875 48058572375 48217970625 50962831425 51131862375 52472841245 52647553125 54207480625 56014303125 56858630961 57237159375 58544079075 58738255125 62287905075 63647721225 64347009375 65751778125 69725266875 71553874425 73938880125 77534496765 80097620625 80363284375 82220034699 82767403125 84938052375 85219770625 86792347125 92037352275 94451114241 94764384935 95079909375 97573465125 97897091875 100825745625 103813175125 105728859225 106079535375 109224028125 112118229135 115440250739 115824616875 116208778125 119256457375 123231466875 128796973965 129224161275 133496034375 137033391165 141563420625 144653911875 153395587125 157418523735 162622441875 168042909375 170575892883 171711478125 176214765375 176799225625 186863715225 190943163675 193041028125 197255334375 205385778125 209175800625 214661623275 215373602125 221816640375 228388985275 232603490295 235939034375 240292861875 241089853125 246660104097 254814157125 255659311875 262364206225 271037403125 283353342723 284293154805 292720395375 293691275625 311439525375 318238606125 346320752217 348626334375 357769372125 369694400625 387672483825 400488103125 411100173495 424690261875 426098853125 433961735625 460186761375 472255571205 473821924675 487867325625 489485459375 504128728125 511727678649 519065875625 528644296125 530397676875 560591145675 577201253695 579123084375 596282286875 616157334375 643984869825 646120806375 685166955825 707817103125 723269559375 766977935625 787092618675 813112209375 852879464415 881073826875 883996128125 934318576125 954715818375 1038962256651 1045879003125 1073308116375 1076868010625 1109083201875 1141944926375 1163017451475 1201464309375 1233300520485 1269842758129 1274070785625 1278296559375 1311821031125 1416766713615 1421465774025 1463601976875 1468456378125 1557197626875 1591193030625 1731603761085 1788846860625 1848472003125 1938362419125 2055500867475 2123451309375 2169808678125 2300933806875 2361277856025 2369109623375 2439336628125 2558638393245 2595329378125 2643221480625 2651988384375 2802955728375 2886006268475 2981411434375 3116886769953 3219924349125 3230604031875 3425834779125 3809528274387 3834889678125 3935463093375 4264397322075 4405369134375 4671592880625 4773579091875 5194811283255 5366540581875 5384340053125 5545416009375 5709724631875 5815087257375 6166502602425 6349213790645 6370353928125 6559105155625 7083833568075 7107328870125 7318009884375 7785988134375 7955965153125 8658018805425 8944234303125 9691812095625 10277504337375 11428584823161 11504669034375 11806389280125 11845548116875 12793191966225 13216107403125 14014778641875 14430031342375 15584433849765 16099621745625 16153020159375 17129173895625 19047641371935 19677315466875 21321986610375 23357964403125 23867895459375 25974056416275 26832702909375 28548623159375 29075436286875 30832513012125 31746068953225 32795525778125 34285754469483 35419167840375 35536644350625 43290094027125 48459060478125 51387521686875 57142924115805 59031946400625 59227740584375 63965959831125 70073893209375 72150156711875 77922169248825 80498108728125 85645869478125 95238206859675 98386577334375 106609933051875 129870282081375 145377181434375 154162565060625 158730344766125 171428772347415 177095839201875 177683221753125 216450470135625 256937608434375 285714620579025 295159732003125 319829799155625 360750783559375 389610846244125 476191034298375 533049665259375 649351410406875 770812825303125 793651723830625 857143861737075 885479196009375 1082252350678125 1428573102895125 1599148995778125 1948054231220625 2380955171491875 3246757052034375 3968258619153125 4285719308685375 7142865514475625 9740271156103125 11904775857459375 21428596543426875 35714327572378125 107142982717134375
- Sum of all divisors σ(n): 223150128194120400
- Sum of proper divisors (its aliquot sum) s(n): 116007145476986025
- 107142982717134375 is an abundant number, because the sum of its proper divisors (116007145476986025) is greater than itself. Its abundance is 8864162759851650
Bases of 107142982717134375
- Binary: 1011111001010010111111001101000010000011111010110001001112
- Hexadecimal: 0x17CA5F9A107D627
- Base-36: TAZ0MRBY23R
Squares and roots of 107142982717134375
- 107142982717134375 squared (1071429827171343752) is 11479618745524155378694211806640625
- 107142982717134375 cubed (1071429827171343753) is 1229960592850986374614386334005845864916595458984375
-
The
square root of 107142982717134375 is 327327027.1718092865 -
The
cube root of 107142982717134375 is 474957.3113505521
Scales and comparisons
How big is 107142982717134375?- 107,142,982,717,134,375 seconds is equal to 3,406,815,435 years, 20 weeks, 5 days, 8 hours, 26 minutes, 15 seconds.
-
To count from 1 to 107,142,982,717,134,375 would take you about ten billion, two hundred twenty million, four hundred forty-six thousand, three hundred six 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 107142982717134375 cubic inches would be around 39579.8 feet tall.
Recreational maths with 107142982717134375
- 107142982717134375 backwards is 573431717289241701
- The number of decimal digits it has is: 18
- The sum of 107142982717134375's digits is 72
- More coming soon!
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"Number 107142982717134375 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 107142982717134375 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/107142982717134375/
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The information we have on file for 107142982717134375 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 107142982717134375, math, Factors of 107142982717134375, curriculum, school, college, exams, university, Prime factorization of 107142982717134375, STEM, science, technology, engineering, physics, economics, calculator, one hundred seven quadrillion, one hundred forty-two trillion, nine hundred eighty-two billion, seven hundred seventeen million, one hundred thirty-four thousand, three hundred seventy-five.