138421384614123975
138,421,384,614,123,975 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138421384614123975 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
138421384614123975 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 138421384614123975:
32 × 52 × 73 × 13 × 432 × 4213
(3 × 3 × 5 × 5 × 7 × 7 × 7 × 13 × 43 × 43 × 421 × 421 × 421)See below for interesting mathematical facts about the number 138421384614123975 from the Numbermatics database.
Names of 138421384614123975
- Cardinal: 138421384614123975 can be written as One hundred thirty-eight quadrillion, four hundred twenty-one trillion, three hundred eighty-four billion, six hundred fourteen million, one hundred twenty-three thousand, nine hundred seventy-five.
Scientific notation
- Scientific notation: 1.38421384614123975 × 1017
Factors of 138421384614123975
Divisors of 138421384614123975
- Number of divisors d(n): 864
-
Complete list of divisors:
1 3 5 7 9 13 15 21 25 35 39 43 45 49 63 65 75 91 105 117 129 147 175 195 215 225 245 273 301 315 325 343 387 421 441 455 525 559 585 637 645 735 819 903 975 1029 1075 1225 1263 1365 1505 1575 1677 1715 1849 1911 1935 2105 2107 2205 2275 2709 2795 2925 2947 3087 3185 3225 3675 3789 3913 4095 4459 4515 5031 5145 5473 5547 5733 6315 6321 6825 7525 8385 8575 8841 9245 9555 9675 10525 10535 11025 11739 12943 13377 13545 13975 14735 14749 15435 15925 16419 16641 18103 18945 18963 19565 20475 20629 22295 22575 24037 25155 25725 26523 27365 27391 27735 28665 31575 31605 35217 38311 38829 40131 41925 44205 44247 46225 47775 49257 52675 54309 58695 61887 64715 66885 67725 72111 73675 73745 77175 82095 82173 83205 90515 90601 94725 94815 97825 103145 111475 114933 116487 120185 125775 126721 132615 132741 136825 136955 138675 143325 144403 158025 162927 168259 176085 177241 185661 191555 191737 194145 200655 216333 221025 221235 235339 246285 246519 268177 271545 271803 293475 309435 323575 334425 344799 360555 368725 380163 410475 410865 416025 433209 452575 453005 474075 504777 515725 531723 574665 575211 582435 600925 633605 634207 663075 663705 684775 706017 722015 778429 804531 814635 815409 841295 880425 886205 887047 928305 957775 958685 970725 1003275 1081665 1106175 1140489 1176695 1177813 1231425 1232595 1240687 1299627 1340885 1357725 1359015 1514331 1547175 1595169 1647373 1723995 1725633 1802775 1877239 1900815 1902621 2054325 2118051 2166045 2265025 2304133 2335287 2413593 2523885 2658615 2661141 2873325 2876055 2912175 3168025 3171035 3318525 3530085 3533439 3610075 3722061 3892145 4022655 4073175 4077045 4206475 4431025 4435235 4641525 4793425 4942119 5408325 5449003 5631717 5702445 5707863 5883475 5889065 6162975 6203435 6209329 6498135 6704425 6795075 6912399 7005861 7571655 7621363 7975845 7983423 8236865 8244691 8619975 8628165 8684809 9386195 9504075 9513105 10119577 10590255 10600317 10830225 11166183 11520665 11531611 11676435 12067965 12619425 13293075 13305705 14380275 14826357 15855175 16128931 16347009 16895151 17650425 17667195 18610305 18627987 19460725 20113275 20385225 20737197 22176175 22864089 24710595 24734073 26054427 27245015 28158585 28512225 28539315 29445325 30358731 31017175 31046645 32490675 34561995 34594833 35029305 37858275 38106815 38143021 39879225 39917115 41184325 41223455 43140825 43424045 46930975 47565525 48386793 49041027 50597885 52951275 53001585 53349541 55830915 55883961 57603325 57658055 58382175 60339825 60793663 66528525 68592267 70837039 74131785 74202219 74618461 78163281 80644655 80721277 81735045 84475755 88335975 91076193 93051525 93139935 99077719 103685985 103784499 112902517 114320445 114429063 123552975 123670365 130272135 136225075 140792925 142696575 145160379 151793655 155233225 160048623 172809975 172974165 175146525 182380989 190534075 190715105 199585575 206117275 212511117 217120225 223855383 241933965 242163831 245205135 252989425 265007925 266747705 267001147 279154575 279419805 288290275 297233157 303968315 327718609 338707551 342961335 343287189 354185195 370658925 371011095 373092305 373446787 390816405 403223275 403606385 408675225 422378775 455380965 465699675 480145869 495388595 495859273 518429925 518922495 522329227 547142967 564512585 571602225 572145315 618351825 637533351 651360675 671566149 693544033 725801895 726491493 758968275 790317619 800243115 801003441 864870825 891699471 911904945 953575525 970039993 983155827 1016122653 1062555585 1119276915 1120340361 1209669825 1210819155 1226025675 1333738525 1335005735 1397099025 1486165785 1487577819 1519841575 1566987681 1638593045 1693537755 1714806675 1716435945 1770925975 1855055475 1865461525 1867233935 1954082025 2018031925 2080632099 2276904825 2294030263 2370952857 2400729345 2403010323 2476942975 2479296365 2594612475 2611646135 2614127509 2735714835 2822562925 2860726575 2910119979 2949467481 3187666755 3208593823 3357830745 3361021083 3467720165 3471014911 3629009475 3632457465 3656304589 3951588095 4001215575 4005017205 4260341917 4458497355 4462733457 4559524725 4700963043 4850199965 4854808231 4915779135 5080613265 5312777925 5596384575 5601701805 6054095775 6241896297 6675028675 6790279951 6882090789 7112858571 7430828925 7437889095 7834938405 7842382527 8192965225 8467688775 8582179725 8730359937 9336169675 9625781469 10403160495 10413044733 10968913767 11470151315 11854764285 12003646725 12015051615 12396481825 12781025751 13058230675 13070637545 13678574175 14550599895 14564424693 14747337405 15938333775 16042969115 16058211841 16789153725 16805105415 17338600825 17355074555 18162287325 18281522945 19757940475 20025086025 20370839853 20646272367 21301709585 22292486775 22313667285 22460156761 23504815215 23527147581 24250999825 24274041155 24578895675 25403066325 25594132123 28008509025 28877344407 29822393419 31209481485 31239134199 32906741301 33951399755 33983657617 34410453945 35564292855 37189445475 38343077253 39174692025 39211912635 41711719699 43651799685 43693274079 47531959657 48128907345 48174635523 52015802475 52065223665 54844568835 57350756575 59273821425 60075258075 61112519559 63905128755 65353187725 67380470283 72752999475 72822123465 73736687025 76782396369 80214845575 80291059205 84025527075 86775372775 89467180257 91407614725 101854199265 101950972851 103231361835 106508547925 111568336425 112300783805 112407482887 117524076075 117635737905 121370205775 125135159097 127970660615 137969534389 142595878971 144386722035 144523906569 149111967095 156047407425 156195670995 157221097327 164533706505 169756998775 169918288085 172052269725 177821464275 191715386265 196059563175 202141410849 208558598495 208756753933 218258998425 218466370395 230347189107 237659798285 240644536725 240873177615 260326118325 268401540771 274222844175 291982037893 305562597795 305852918553 319525643775 332723717599 336902351415 337222448661 364110617325 375405477291 383911981845 401455296025 413908603167 427787636913 447335901285 471663291981 509270996325 509754864255 516156809175 561503919025 562037414435 588178689525 625675795485 626270261799 639853303075 689847671945 712979394855 721933610175 722619532845 745559835475 780978354975 786105486635 822668532525 849591440425 875946113679 958576931325 965786740723 998171152797 1010707054245 1011667345983 1042792992475 1043783769665 1092331851975 1100547681289 1151735945535 1188298991425 1204365888075 1241725809501 1342007703855 1414989875943 1459910189465 1461297277531 1527812988975 1529264592765 1663618587995 1684511757075 1686112243305 1793603947057 1877027386455 1878810785397 1919559909225 2043874265251 2069543015835 2138938184565 2236679506425 2358316459905 2548774321275 2627838341037 2810187072175 2897360222169 2994513458391 3128378977425 3131351308995 3301643043867 3449238359725 3564896974275 3613097664225 3930527433175 4379730568395 4383891832593 4828933703615 4990855763985 5053535271225 5058336729915 5218918848325 5380811841171 5502738406445 5758679727675 6131622795753 6208629047505 6710038519275 6760507185061 7074949379715 7299550947325 7306486387655 7646322963825 8318092939975 8430561216525 8692080666507 8968019735285 9385136932275 9394053926985 9904929131601 10219371326255 10347715079175 10694690922825 11791582299525 12555227629399 13139191705185 13151675497779 14307119856757 14486801110845 14972567291955 15656756544975 16142435523513 16508215219335 18394868387259 20281521555183 21898652841975 21919459162965 24144668518075 24954278819925 25291683649575 26904059205855 27513692032225 30658113978765 31043145237525 33802535925305 35374746898575 36532431938275 37665682888197 42921359570271 43460403332535 44840098676425 46970269634925 47323550295427 49524645658005 51096856631275 60844564665549 62776138146995 65695958525925 65758377488895 71535599283785 72434005554225 74862836459775 80712177617565 82541076096675 87886593405793 91974341936295 101407607775915 109597295814825 112997048664591 128764078710813 134520296029275 141970650886281 153290569893825 169012679626525 188328414440985 214606797851355 217302016662675 236617751477135 247623228290025 263659780217379 304222823327745 313880690734975 328791887444475 357677996418925 403560888087825 425911952658843 439432967028965 459871709681475 507038038879575 564985243322955 615206153840551 643820393554065 709853254431405 790979340652137 941642072204925 1073033989256775 1183088757385675 1318298901086895 1521114116638725 1845618461521653 2129559763294215 2197164835144825 2824926216614775 3076030769202755 3219101967770325 3549266272157025 3954896703260685 5536855384564959 6591494505434475 9228092307608265 10647798816471075 15380153846013775 19774483516303425 27684276922824795 46140461538041325 138421384614123975
- Sum of all divisors σ(n): 319538196773577600
- Sum of proper divisors (its aliquot sum) s(n): 181116812159453625
- 138421384614123975 is an abundant number, because the sum of its proper divisors (181116812159453625) is greater than itself. Its abundance is 42695427545329650
Bases of 138421384614123975
- Binary: 1111010111100010110000100000100110011111000011001110001112
- Hexadecimal: 0x1EBC584133E19C7
- Base-36: 11UYAA810B7R
Squares and roots of 138421384614123975
- 138421384614123975 squared (1384213846141239752) is 19160479718491237511311056669800625
- 138421384614123975 cubed (1384213846141239753) is 2652220132504397455815111901851687100073222282484375
-
The
square root of 138421384614123975 is 372050244.7440721345 -
The
cube root of 138421384614123975 is 517290.3733592453
Scales and comparisons
How big is 138421384614123975?- 138,421,384,614,123,975 seconds is equal to 4,401,371,865 years, 14 weeks, 1 day, 18 hours, 26 minutes, 15 seconds.
-
To count from 1 to 138,421,384,614,123,975 would take you about thirteen billion, two hundred four million, one hundred fifteen thousand, five hundred ninety-five 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 138421384614123975 cubic inches would be around 43107.5 feet tall.
Recreational maths with 138421384614123975
- 138421384614123975 backwards is 579321416483124831
- The number of decimal digits it has is: 18
- The sum of 138421384614123975's digits is 72
- More coming soon!
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"Number 138421384614123975 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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The information we have on file for 138421384614123975 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 138421384614123975, math, Factors of 138421384614123975, curriculum, school, college, exams, university, Prime factorization of 138421384614123975, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred twenty-one trillion, three hundred eighty-four billion, six hundred fourteen million, one hundred twenty-three thousand, nine hundred seventy-five.