138013127840016
138,013,127,840,016 is an even composite number composed of eight prime numbers multiplied together.
138013127840016 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 138013127840016:
24 × 33 × 11 × 132 × 31 × 67 × 97 × 853
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 13 × 31 × 67 × 97 × 853)See below for interesting mathematical facts about the number 138013127840016 from the Numbermatics database.
Names of 138013127840016
- Cardinal: 138013127840016 can be written as One hundred thirty-eight trillion, thirteen billion, one hundred twenty-seven million, eight hundred forty thousand and sixteen.
Scientific notation
- Scientific notation: 1.38013127840016 × 1014
Factors of 138013127840016
Divisors of 138013127840016
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 31 33 36 39 44 48 52 54 62 66 67 72 78 88 93 97 99 104 108 117 124 132 134 143 144 156 169 176 186 194 198 201 208 216 234 248 264 268 279 286 291 297 312 338 341 351 372 388 396 402 403 429 432 468 496 507 528 536 558 572 582 594 603 624 676 682 702 737 744 776 792 804 806 837 853 858 871 873 936 1014 1023 1067 1072 1116 1144 1164 1188 1206 1209 1261 1287 1352 1364 1404 1474 1488 1521 1552 1584 1608 1612 1674 1706 1716 1742 1746 1809 1859 1872 2028 2046 2077 2134 2211 2232 2288 2328 2376 2412 2418 2522 2559 2574 2613 2619 2704 2728 2808 2948 3007 3042 3069 3201 3216 3224 3348 3412 3432 3484 3492 3618 3627 3718 3783 3861 4056 4092 4154 4268 4422 4433 4464 4563 4656 4752 4824 4836 5044 5118 5148 5226 5238 5239 5456 5577 5616 5896 6014 6084 6138 6231 6402 6448 6499 6633 6696 6824 6864 6968 6984 7236 7254 7436 7566 7677 7722 7839 8112 8184 8308 8536 8844 8866 9021 9126 9207 9383 9581 9603 9648 9672 10088 10236 10296 10452 10476 10478 10881 11089 11154 11323 11349 11792 12028 12168 12276 12462 12804 12998 13266 13299 13392 13648 13871 13936 13968 14472 14508 14872 15132 15354 15444 15678 15717 16368 16393 16616 16731 17072 17688 17732 18042 18252 18414 18693 18766 19162 19206 19344 19497 19899 20176 20472 20592 20904 20952 20956 21762 22178 22308 22646 22698 22847 23031 23517 24056 24336 24552 24924 25608 25996 26443 26532 26598 27001 27063 27742 28149 28743 28809 28944 29016 29744 30264 30708 30888 31356 31434 32786 33077 33232 33267 33462 33969 34047 35376 35464 36084 36504 36828 37386 37532 38324 38412 38994 39091 39798 39897 40944 41613 41808 41904 41912 43524 44356 44616 45292 45396 45694 46062 47034 47151 48112 49104 49179 49848 50193 51216 51992 52886 53064 53196 54002 54126 55484 56079 56298 57151 57486 57618 57629 58032 58491 60528 61416 61776 62712 62868 65572 66154 66534 66924 67938 68094 68541 70928 71489 72168 73008 73656 74772 75064 76648 76824 77988 78182 79329 79596 79794 81003 81189 82741 83226 83824 84447 84487 86229 87048 88712 89232 90584 90792 91388 92124 94068 94302 98358 99231 99696 99801 100386 101907 103984 105772 106128 106392 108004 108252 110968 112158 112596 114302 114972 115236 115258 116982 117273 119691 121979 122832 124553 124839 125424 125736 131144 132308 133068 133848 135876 136188 137082 141453 142978 144157 144336 147312 147537 149544 150128 153296 153648 155976 156364 158658 159192 159588 162006 162378 165482 166452 168894 168974 171453 172458 172887 174096 175473 177424 180323 181168 181584 182776 184248 188136 188604 196716 198462 199602 200772 201469 203814 205623 211544 212784 214467 216008 216504 221936 224316 225192 228604 229944 230472 230516 233964 234546 237987 239382 243009 243958 248223 249106 249678 251472 253341 253461 258687 262288 264616 266136 267696 271752 272376 274164 282906 285956 288314 290873 295074 297011 297693 299088 299403 305721 311952 312728 317316 318384 319176 324012 324756 330964 332904 337788 337948 342906 343759 344916 345774 350946 351013 351819 360646 365552 365937 368496 373659 374517 376272 377208 393432 396924 399204 401544 402938 407628 411246 423088 428934 430001 432016 432471 433008 442611 448632 450384 457208 459888 460944 461032 467928 469092 475974 478764 486018 487916 496446 498212 499356 506682 506922 508183 514359 517374 518661 529232 532272 540969 543504 544752 548328 565812 571912 576628 581746 590148 594022 595386 598806 604407 611442 616869 625456 628661 634632 638352 643401 648024 649512 661928 665808 675576 675896 685812 687518 689832 691548 701892 702026 703638 713961 721292 729027 731874 742963 744669 747318 749034 754416 760383 786864 793848 798408 803088 805876 815256 822492 857868 860002 864942 872619 885222 891033 893079 897264 910151 914416 922064 929357 935856 938184 951948 957528 972036 975832 992892 996424 998712 1013364 1013844 1016366 1028718 1031277 1034748 1037322 1053039 1055457 1075633 1081938 1096656 1097811 1098331 1120977 1131624 1143824 1153256 1163492 1180296 1188044 1190772 1197612 1208814 1222884 1233738 1257322 1269264 1286802 1290003 1296048 1297413 1299024 1323856 1351152 1351792 1371624 1375036 1379664 1383096 1403784 1404052 1407276 1427922 1442584 1458054 1463748 1485926 1489338 1494636 1498068 1520766 1524549 1543077 1555983 1585727 1587696 1596816 1611752 1622907 1630512 1644984 1715736 1720004 1729884 1745238 1770444 1771681 1782066 1786158 1813221 1820302 1858714 1876368 1885983 1903896 1915056 1930203 1944072 1951664 1985784 1992848 1997424 2026728 2027688 2032732 2057436 2062554 2069496 2074644 2106078 2110914 2151266 2163876 2195622 2196662 2216159 2228889 2234007 2241954 2263248 2281149 2306512 2326984 2360592 2376088 2381544 2395224 2417628 2445768 2467476 2514644 2564971 2573604 2580006 2594826 2617857 2619097 2673099 2730453 2743248 2750072 2766192 2788071 2807568 2808104 2814552 2855844 2885168 2916108 2927496 2971852 2978676 2989272 2996136 3041532 3049098 3086154 3093831 3111966 3159117 3171454 3223504 3226899 3245814 3289968 3293433 3294993 3362931 3431472 3440008 3459768 3490476 3540888 3543362 3564132 3572316 3626442 3640604 3717428 3771966 3781349 3807792 3860406 3861143 3870009 3888144 3892239 3971568 4053456 4055376 4065464 4114872 4125108 4138992 4149288 4212156 4221828 4302532 4327752 4391244 4393324 4432318 4457778 4468014 4468867 4483908 4562298 4573647 4653968 4752176 4757181 4763088 4790448 4835256 4868721 4891536 4934952 5029288 5129942 5147208 5160012 5189652 5235714 5238194 5315043 5346198 5439663 5460906 5500144 5543647 5576142 5590013 5616208 5629104 5657949 5711688 5832216 5854992 5943704 5957352 5978544 5992272 6083064 6098196 6172308 6187662 6223932 6318234 6342908 6453798 6491628 6586866 6589986 6648477 6686667 6725862 6880016 6919536 6980952 7081776 7086724 7128264 7144632 7252884 7281208 7434856 7543932 7562698 7694913 7720812 7722286 7740018 7784478 7853571 7857291 8019297 8130928 8172593 8191359 8229744 8250216 8298576 8364213 8424312 8443656 8605064 8655504 8782488 8786648 8864636 8915556 8936028 8937734 8967816 9124596 9147294 9281493 9477351 9514362 9658519 9670512 9680697 9737442 9869904 9884979 10058576 10259884 10294416 10320024 10379304 10471428 10476388 10630086 10692396 10879326 10921812 11087294 11152284 11180026 11315898 11344047 11423376 11583429 11610027 11664432 11831963 11887408 11914704 12081641 12166128 12196392 12344616 12375324 12447864 12636468 12685816 12907596 12983256 13173732 13179972 13296954 13373334 13406601 13451724 13720941 13961904 13983229 14173448 14256528 14271543 14289264 14505768 14562416 14869712 15087864 15125396 15389826 15441624 15444572 15480036 15568956 15707142 15714582 15945129 16038594 16345186 16382718 16500432 16630941 16728426 16770039 16848624 16887312 16973847 17210128 17564976 17573296 17729272 17831112 17872056 17875468 17935632 18249192 18294588 18562986 18954702 19028724 19317038 19361394 19474884 19488491 19769958 19945431 20060001 20519768 20640048 20758608 20942856 20952776 21260172 21384792 21758652 21843624 22174588 22304568 22360052 22631796 22688094 23031853 23084739 23166858 23220054 23571873 23663926 24163282 24392784 24517779 24574077 24689232 24750648 24895728 25092639 25272936 25371632 25815192 25966512 26347464 26359944 26593908 26746668 26813202 26903448 27441882 27966458 28214681 28346896 28543086 28810067 28975557 29011536 29042091 29654937 30175728 30250792 30779652 30883248 30889144 30960072 31137912 31414284 31429164 31890258 32077188 32690372 32765436 33261882 33344623 33456852 33540078 33947694 34032141 34048261 34750287 35458544 35495889 35662224 35744112 35750936 36244923 36498384 36589176 37125972 37909404 38057448 38634076 38722788 38949768 38976982 39539916 39890862 40120002 40219803 41039536 41885712 41905552 41949687 42520344 42769584 42814629 43517304 43687248 44349176 44609136 44720104 45263592 45376188 46063706 46169478 46333716 46440108 47143746 47327852 47835387 48326564 49035558 49148154 49157537 49501296 49892823 50185278 50310117 50545872 51630384 52694928 52719888 53187816 53493336 53626404 53806896 54883764 55932916 56429362 57086172 57620134 57951114 58084182 58465473 59309874 59836293 60501584 60980117 61559304 61778288 61920144 62275824 62828568 62858328 63780516 64154376 65380744 65530872 66523764 66689246 66913704 67080156 67895388 68064282 68096522 69095559 69254217 69500574 70715619 70991778 71501872 72067411 72489846 73178352 73553337 74251944 75818808 76114896 77268152 77445576 77899536 77953964 79079832 79781724 80240004 80439606 83899374 84644043 85040688 85629258 86430201 86926671 87034608 88698352 89440208 90527184 90752376 92127412 92338956 92667432 92880216 94287492 94655704 95670774 96653128 98071116 98296308 98315074 99785646 100033869 100370556 100620234 102096423 102144783 104250861 106243709 106375632 106487667 106986672 107252808 108734769 109767528 111865832 112858724 114172344 115240268 115902228 116168364 116930946 118619748 119672586 120659409 121960234 123118608 125657136 125716656 125849061 127561032 128308752 130761488 131061744 133047528 133378492 133827408 134160312 135790776 136128564 136193044 138191118 138508434 139001148 141431238 141983556 144134822 144979692 147106674 147472611 148503888 149678469 150930351 151637616 153815519 154536304 154891152 155907928 158159664 159563448 160480008 160879212 167798748 169288086 171258516 171853057 172860402 173853342 175396419 181504752 182940351 184254824 184677912 185334864 185760432 188574984 189311408 191341548 193306256 196142232 196592616 196630148 199571292 200067738 200741112 201240468 204192846 204289566 207286677 208501722 212487418 212975334 214505616 216202233 217469538 219535056 220660011 223731664 225717448 228344688 230480536 231804456 232336728 233861892 237239496 239345172 241318818 243920468 251698122 253350383 253932129 255122064 259290603 260780013 266095056 266756984 268320624 271581552 272257128 272386088 276382236 277016868 278002296 282862476 283967112 288269644 289959384 294213348 294945222 299356938 299414089 300101607 301860702 306434349 307631038 311815856 318731127 319126896 319463001 320960016 321758424 326204307 335597496 338576172 342517032 343706114 345720804 347706684 350792838 365880702 366790853 368509648 369355824 374530871 377149968 377547183 382683096 392284464 393185232 393260296 399142584 400135476 401482224 402480936 408385692 408579132 414573354 417003444 424974836 425950668 432404466 433480099 434939076 441320022 442417833 451434896 460961072 461446557 463608912 464673456 467723784 474478992 478690344 482637636 487840936 503396244 506700766 507864258 515559171 518581206 521560026 526189257 533513968 544514256 544772176 548821053 552764472 554033736 556004592 565724952 567934224 576539288 579918768 588426696 589890444 598713876 598828178 600203214 603721404 612868698 615262076 621860031 637462254 638926002 643516848 648606699 652408614 671194992 677152344 685034064 687412228 691441608 695413368 701585676 731761404 733581706 749061742 755094366 760051149 761796387 765366192 777871809 786520592 792741521 798285168 800270952 804961872 816771384 817158264 829146708 834006888 849949672 851901336 864808932 866960198 869878152 882640044 884835666 898242267 900304821 919303047 922893114 935447568 936876343 956193381 957380688 965275272 975681872 1006792488 1013401532 1015728516 1031118342 1037162412 1043120052 1052378514 1097642106 1100372559 1105528944 1108067472 1123592613 1131449904 1153078576 1176853392 1179780888 1197427752 1197656356 1200406428 1207442808 1225737396 1230524152 1243720062 1274924508 1277852004 1297213398 1300440297 1304817228 1327253499 1354304688 1374824456 1382883216 1384339671 1390826736 1403171352 1463522808 1467163412 1498123484 1510188732 1520102298 1523592774 1546677513 1555743618 1585483042 1600541904 1633542768 1634316528 1646463159 1658293416 1668013776 1699899344 1703802672 1729617864 1733920396 1739756304 1765280088 1769671332 1796484534 1800609642 1838606094 1845786228 1873752686 1890383627 1912386762 1930550544 1945820097 2013584976 2026803064 2031457032 2062236684 2074324824 2086240104 2104757028 2195284212 2200745118 2234089741 2247185226 2280153447 2359561776 2378224563 2394855504 2395312712 2400812856 2414885616 2451474792 2461048304 2487440124 2549849016 2555704008 2594426796 2600880594 2609634456 2654506998 2694726801 2749648912 2768679342 2806342704 2810629029 2868580143 2927045616 2934326824 2996246968 3020377464 3040204596 3047185548 3093355026 3111487236 3170966084 3292926318 3293554979 3301117677 3316586832 3370777839 3459235728 3467840792 3530560176 3539342664 3592969068 3601219284 3677212188 3691572456 3747505372 3780767254 3824773524 3891640194 3901320891 4053606128 4062914064 4124473368 4148649648 4153019013 4172480208 4209514056 4390568424 4401490236 4468179482 4494370452 4560306894 4640032539 4756449126 4768281089 4790625424 4801625712 4902949584 4974880248 5099698032 5111408016 5188853592 5201761188 5219268912 5309013996 5389453602 5537358684 5621258058 5671150881 5737160286 5868653648 5992493936 6040754928 6080409192 6094371096 6186710052 6222974472 6341932168 6585852636 6587109958 6602235354 6702269223 6741555678 6840460341 6935681584 7078685328 7134673689 7185938136 7202438568 7354424376 7383144912 7495010744 7561534508 7649547048 7783280388 7802641782 8084180403 8248946736 8306038026 8419028112 8431887087 8781136848 8802980472 8936358964 8988740904 9120613788 9280065078 9512898252 9536562178 9880664937 9903353031 9949760496 10112333517 10305639773 10377707184 10403522376 10618027992 10778907204 11074717368 11242516116 11342301762 11474320572 11703962673 12160818384 12188742192 12373420104 12445948944 12683864336 13171705272 13174219916 13204470708 13404538446 13483111356 13680920682 14269347378 14304843267 14371876272 14404877136 14708848752 14990021488 15123069016 15299094096 15566560776 15605283564 16168360806 16612076052 16863774174 17013452643 17605960944 17872717928 17977481808 18241227576 18560130156 19025796504 19073124356 19761329874 19806706062 20106807669 20224667034 20611279546 20807044752 21236055984 21404021067 21557814408 22149434736 22485032232 22684603524 22948641144 23407925346 24574987151 24746840208 25295661261 26343410544 26348439832 26408941416 26809076892 26966222712 27361841364 28538694756 28609686534 29043166633 29641994811 30246138032 30916919319 31133121552 31210567128 32336721612 33224152104 33727548348 34026905286 35745435856 36482455152 37120260312 38051593008 38146248712 39522659748 39613412124 40213615338 40449334068 41222559092 42808042134 42914529801 43115628816 44970064464 45369207048 45897282288 46815850692 49149974302 50591322522 51040357929 52696879664 52817882832 53618153784 53932445424 54723682728 57077389512 57219373068 58086333266 59283989622 60320423007 61833838638 62421134256 64673443224 66448304208 67455096696 68053810572 73724961453 74240520624 76292497424 79045319496 79226824248 80427230676 80898668136 82445118184 85616084268 85829059602 87129499899 88925984433 90738414096 92750757957 93631701384 98299948604 101182645044 102080715858 107236307568 109447365456 114154779024 114438746136 116172666532 118567979244 120640846014 123667677276 128743589403 129346886448 134910193392 136107621144 147449922906 158090638992 158453648496 160854461352 161797336272 164890236368 171232168536 171658119204 174258999798 177851968866 185501515914 187263402768 196599897208 202365290088 204161431716 221174884359 228877492272 232345333064 237135958488 241281692028 247335354552 257487178806 261388499697 272215242288 278252273871 294899845812 319474832963 321708922704 342464337072 343316238408 348517999596 355703937732 371003031828 393199794416 404730580176 408322863432 442349768718 464690666128 474271916976 482563384056 494670709104 514974357612 522776999394 556504547742 589799691624 638949665926 663524653077 686632476816 697035999192 711407875464 742006063656 784165499091 816645726864 884699537436 958424498889 965126768112 1029948715224 1045553998788 1113009095484 1179599383248 1277899331852 1327049306154 1394071998384 1422815750928 1484012127312 1568330998182 1769399074872 1916848997778 2059897430448 2091107997576 2226018190968 2555798663704 2654098612308 2875273496667 3136661996364 3538798149744 3833697995556 4182215995152 4452036381936 5111597327408 5308197224616 5750546993334 6273323992728 7667395991112 8625820490001 10616394449232 11501093986668 12546647985456 15334791982224 17251640980002 23002187973336 34503281960004 46004375946672 69006563920008 138013127840016
- Sum of all divisors σ(n): 495903140167680
- Sum of proper divisors (its aliquot sum) s(n): 357890012327664
- 138013127840016 is an abundant number, because the sum of its proper divisors (357890012327664) is greater than itself. Its abundance is 219876884487648
Bases of 138013127840016
- Binary: 111110110000101101011110111010110010001000100002
- Hexadecimal: 0x7D85AF759110
- Base-36: 1CX6CSX7O0
Squares and roots of 138013127840016
- 138013127840016 squared (1380131278400162) is 19047623456184599485690880256
- 138013127840016 cubed (1380131278400163) is 2628822091106892529433152661085230981124096
-
The
square root of 138013127840016 is 11747898.8691602211 -
The
cube root of 138013127840016 is 51678.1311207755
Scales and comparisons
How big is 138013127840016?- 138,013,127,840,016 seconds is equal to 4,388,390 years, 29 weeks, 1 day, 19 hours, 33 minutes, 36 seconds.
-
To count from 1 to 138,013,127,840,016 would take you about ten million, nine hundred seventy thousand, nine hundred seventy-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 138013127840016 cubic inches would be around 4306.5 feet tall.
Recreational maths with 138013127840016
- 138013127840016 backwards is 610048721310831
- The number of decimal digits it has is: 15
- The sum of 138013127840016's digits is 45
- More coming soon!
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"Number 138013127840016 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 138013127840016 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/138013127840016/
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The information we have on file for 138013127840016 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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