1006338683462112
1,006,338,683,462,112 is an even composite number composed of six prime numbers multiplied together.
1006338683462112 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 1006338683462112:
25 × 32 × 72 × 11 × 134 × 613
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 11 × 13 × 13 × 13 × 13 × 61 × 61 × 61)See below for interesting mathematical facts about the number 1006338683462112 from the Numbermatics database.
Names of 1006338683462112
- Cardinal: 1006338683462112 can be written as One quadrillion, six trillion, three hundred thirty-eight billion, six hundred eighty-three million, four hundred sixty-two thousand, one hundred twelve.
Scientific notation
- Scientific notation: 1.006338683462112 × 1015
Factors of 1006338683462112
Divisors of 1006338683462112
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 13 14 16 18 21 22 24 26 28 32 33 36 39 42 44 48 49 52 56 61 63 66 72 77 78 84 88 91 96 98 99 104 112 117 122 126 132 143 144 147 154 156 168 169 176 182 183 196 198 208 224 231 234 244 252 264 273 286 288 294 308 312 336 338 352 364 366 392 396 416 427 429 441 462 468 488 504 507 528 539 546 549 572 588 616 624 637 671 672 676 693 728 732 784 792 793 819 854 858 882 924 936 976 1001 1008 1014 1056 1078 1092 1098 1144 1176 1183 1232 1248 1274 1281 1287 1342 1352 1386 1456 1464 1521 1568 1584 1586 1617 1638 1708 1716 1764 1848 1859 1872 1911 1952 2002 2013 2016 2028 2156 2184 2196 2197 2288 2352 2366 2379 2464 2548 2562 2574 2684 2704 2772 2912 2928 2989 3003 3042 3168 3172 3234 3276 3416 3432 3528 3549 3696 3718 3721 3744 3822 3843 4004 4026 4056 4312 4368 4392 4394 4576 4697 4704 4732 4758 4851 5096 5124 5148 5368 5408 5544 5551 5577 5733 5856 5978 6006 6039 6084 6344 6468 6552 6591 6832 6864 7007 7056 7098 7137 7392 7436 7442 7644 7686 8008 8052 8112 8281 8624 8723 8736 8784 8788 8967 9009 9394 9464 9516 9702 10192 10248 10296 10309 10647 10736 11088 11102 11154 11163 11466 11956 12012 12078 12168 12688 12936 13013 13104 13182 13664 13728 14014 14091 14112 14196 14274 14872 14884 15288 15372 15379 16016 16104 16224 16562 16653 16731 17248 17446 17568 17576 17934 18018 18788 18928 19032 19404 19773 20384 20496 20592 20618 21021 21294 21472 22176 22204 22308 22326 22932 23912 24024 24156 24167 24336 24843 25376 25872 26026 26047 26169 26208 26364 26901 28028 28182 28392 28548 28561 29744 29768 30576 30744 30758 30927 32032 32208 32879 33124 33306 33462 33489 34892 35152 35868 36036 37576 37856 38064 38808 38857 39039 39546 40931 40992 41184 41236 42042 42273 42588 44408 44616 44652 45864 46137 47824 48048 48312 48334 48373 48672 49686 49959 51744 52052 52094 52338 52728 53802 56056 56364 56784 57096 57122 59488 59536 61061 61152 61488 61516 61854 63063 64416 65758 66248 66612 66924 66978 69784 70304 71736 72072 72163 72501 74529 75152 76128 77616 77714 78078 78141 78507 79092 81862 82472 84084 84546 85176 85683 88816 89232 89304 91091 91728 92274 92781 95648 96096 96624 96668 96746 98637 99372 99918 104104 104188 104676 105456 107604 107653 112112 112728 113399 113568 114192 114244 116571 117117 119072 122122 122793 122976 123032 123708 126126 131516 132496 133224 133848 133956 134017 138411 139568 143472 144144 144326 145002 145119 149058 150304 155232 155428 156156 156282 157014 158184 163724 164944 168168 169092 169169 170352 171366 177632 178464 178608 182182 182329 183183 183456 184548 185562 193248 193336 193492 197274 198744 199836 199927 208208 208376 209352 210912 215208 215306 216489 217503 224224 225456 226798 226981 228384 228488 233142 234234 234423 244244 245586 246064 247416 252252 257049 263032 264992 266448 267696 267912 268034 273273 276822 279136 286517 286944 288288 288652 290004 290238 295911 298116 310856 312312 312564 314028 314171 316368 322959 327448 329888 336336 338184 338338 338611 340197 340704 342732 349713 357216 364364 364658 366366 368379 369096 371124 386672 386984 394548 397488 399672 399854 402051 416416 416752 418704 427427 430416 430612 432978 435006 435357 450912 453596 453962 456976 466284 468468 468846 488488 491172 492128 494832 504504 505141 507507 514098 526064 532103 532896 535392 535824 536068 546546 546987 549549 553644 573034 577304 580008 580476 591822 596232 599781 621712 624624 625128 628056 628342 628849 632736 645918 649467 654896 672672 676368 676676 677222 680394 680943 685464 699426 728728 729316 732732 736758 738192 742248 773344 773968 789096 793793 794976 799344 799708 804102 819819 833504 837408 854854 859551 860832 861224 865956 870012 870714 907192 907924 913952 932568 936936 937692 938119 942513 968877 976976 982344 989664 1009008 1010282 1015014 1015833 1020591 1028196 1052128 1064206 1071648 1072136 1093092 1093974 1099098 1107288 1146068 1154608 1160016 1160952 1183644 1184183 1192464 1199562 1206153 1243424 1249248 1250256 1256112 1256684 1257698 1282281 1291836 1298934 1309792 1352736 1353352 1354444 1360788 1361886 1370928 1398852 1399489 1457456 1458632 1465464 1473516 1474187 1476384 1484496 1515423 1522521 1547936 1578192 1587586 1588867 1596309 1598688 1599416 1608204 1639638 1640961 1709708 1719102 1722448 1731912 1740024 1741428 1742221 1799343 1814384 1815848 1865136 1873872 1875384 1876238 1885026 1886547 1937754 1953952 1964688 2005619 2018016 2020564 2030028 2031666 2041182 2042829 2056392 2128412 2144272 2186184 2187948 2198196 2199197 2214576 2292136 2309216 2320032 2321904 2367288 2368366 2370277 2381379 2384928 2399124 2412306 2496791 2500512 2512224 2513368 2515396 2564562 2578653 2583672 2597868 2706704 2708888 2721576 2723772 2741856 2797704 2798978 2814357 2827539 2914912 2917264 2930928 2947032 2948374 2950753 2968992 3030846 3045042 3047499 3156384 3175172 3177734 3192618 3198832 3216408 3279276 3281922 3419416 3438204 3444896 3463824 3480048 3482856 3484442 3552549 3598686 3628768 3631696 3724721 3730272 3747744 3750768 3752476 3770052 3773094 3846843 3875508 3929376 4011238 4041128 4060056 4063332 4082364 4085658 4112784 4198467 4256824 4288544 4372368 4375896 4396392 4398394 4401943 4422561 4429152 4546269 4584272 4643808 4734576 4736732 4740554 4762758 4766601 4788927 4798248 4824612 4993582 5026736 5030792 5129124 5157306 5167344 5195736 5226663 5413408 5417776 5443152 5447544 5556551 5595408 5597956 5628714 5655078 5659641 5834528 5861856 5894064 5896748 5901506 6016857 6061692 6090084 6094998 6350344 6355468 6385236 6397664 6432816 6558552 6563844 6566833 6597591 6838832 6876408 6917339 6927648 6960096 6965712 6968884 7105098 7110831 7144137 7197372 7263392 7449442 7490373 7501536 7504952 7540104 7546188 7693686 7751016 8022476 8082256 8120112 8126664 8164728 8171316 8175037 8225568 8396934 8443071 8513648 8744736 8751792 8792784 8796788 8803886 8845122 8852259 9092538 9168544 9469152 9473464 9481108 9525516 9533202 9577854 9596496 9649224 9987164 10053472 10061584 10258248 10314612 10319309 10334688 10391472 10453326 10657647 10835552 10886304 10895088 11113102 11122069 11174163 11190816 11195912 11257428 11310156 11319282 11788128 11793496 11803012 12033714 12123384 12180168 12189996 12195547 12595401 12700688 12710936 12770472 12865632 13117104 13127688 13133666 13195182 13205829 13267683 13677664 13752816 13834678 13931424 13937768 14210196 14221662 14288274 14299803 14394744 14898884 14980746 15009904 15080208 15092376 15387372 15394379 15502032 15679989 16044952 16164512 16240224 16253328 16329456 16342632 16350074 16669653 16793868 16886142 17027296 17477537 17503584 17585568 17593576 17607772 17690244 17704518 18050571 18185076 18946928 18962216 19051032 19066404 19155708 19164431 19192992 19298448 19700499 19792773 19974328 20123168 20516496 20629224 20638618 20655271 20752017 20782944 20906652 21315294 21332493 21790176 22226204 22244138 22348326 22391824 22471119 22514856 22620312 22638564 23586992 23606024 24067428 24246768 24360336 24379992 24391094 24525111 25190802 25401376 25421872 25540944 26073047 26234208 26255376 26267332 26390364 26411658 26535366 26556777 27505632 27669356 27875536 28420392 28443324 28576548 28599606 28789488 29797768 29961492 30019808 30160416 30184752 30774744 30788758 30813601 30957927 31004064 31359978 32089904 32458283 32506656 32658912 32685264 32700148 33339306 33366207 33522489 33587736 33772284 34955074 35187152 35215544 35380488 35409036 36101142 36370152 36586641 37893856 37924432 38102064 38132808 38311416 38328862 38359789 38596896 39400998 39585546 39617487 39948656 41032992 41258448 41277236 41310542 41504034 41813304 42630588 42664986 44452408 44488276 44696652 44783648 44942238 45029712 45240624 45277128 46183137 47173984 47212048 48134856 48421373 48493536 48720672 48759984 48782188 49050222 50008959 50381604 50843744 51081888 52146094 52432611 52510752 52534664 52780728 52823316 53070732 53113554 55338712 55751072 56840784 56886648 57153096 57199212 57225259 57493293 57578976 59101497 59595536 59922984 60369504 61549488 61577516 61627202 61915854 61965813 62256051 62719956 64179808 64916566 65370528 65400296 66678612 66732414 67044978 67175472 67544568 69910148 70374304 70431088 70760976 70818072 72202284 72235163 72740304 73173282 73575333 75848864 76204128 76265616 76622832 76657724 76719578 78219141 78801996 79171092 79234974 79897312 82516896 82554472 82621084 83008068 83626608 85261176 85329972 85368829 88904816 88976552 89393304 89884476 89925407 90059424 90481248 90554256 92366274 92440803 92873781 94424096 96269712 96842746 97374849 97519968 97564376 98100444 100017918 100098621 100763208 104292188 104865222 105069328 105561456 105646632 106141464 106227108 106275481 109759923 110677424 113681568 113773296 114306192 114398424 114450518 114986586 115079367 118202994 119191072 119845968 122342759 123098976 123155032 123254404 123831708 123931626 124512102 125439912 129833132 130800592 133357224 133464828 134089956 134151017 134350944 135089136 138549411 139820296 140862176 141521952 141636144 144404568 144470326 144586897 145264119 145480608 146346564 147150666 152531232 153245664 153315448 153439156 156438282 157297833 157603992 158342184 158469948 165108944 165242168 166016136 167253216 170522352 170659944 170737658 171675777 172479879 177809632 177953104 178786608 179768952 179850814 181108512 184732548 184881606 185747562 185897439 192539424 193685492 194749698 195128752 196200888 200035836 200197242 201526416 208584376 209730444 210138656 211122912 211293264 212282928 212454216 212550962 216705489 219519846 221354848 227207981 227546592 228612384 228796848 228901036 229973172 230158734 234657423 236405988 239691936 244685518 246310064 246508808 247663416 247863252 249024204 250879824 256106487 259666264 261601184 266714448 266929656 268179912 268302034 268518523 269776221 270178272 277098822 277322409 279640592 283272288 288809136 288940652 289173794 290528238 292124547 292693128 294301332 306630896 306878312 312876564 314595666 315207984 316684368 316939896 318826443 330217888 330484336 332032272 338949611 341044704 341319888 341475316 343351554 344959758 345238101 355906208 357573216 359537904 359701628 367028277 369465096 369763212 371495124 371794878 387370984 389499396 390257504 392401776 400071672 400394484 400576813 402453051 403052832 417168752 419460888 421957679 422586528 424565856 424908432 425101924 433410978 433760691 435792357 439039692 454415962 457593696 457802072 459946344 460317468 469314846 472811976 489371036 492620128 493017616 495326832 495726504 498048408 498677257 501759648 512212974 515027331 519332528 533428896 533859312 536359824 536604068 537037046 539552442 554197644 554644818 559281184 577618272 577881304 578347588 581056476 584249094 585386256 588602664 613261792 613756624 625753128 629191332 629477849 630415968 633368736 633879792 637652886 650116467 660968672 664064544 677899222 681623943 682639776 682950632 686703108 689919516 690476202 719075808 719403256 734056554 738930192 739526424 742990248 743589756 743928367 768319461 774741968 778998792 784803552 800143344 800788968 801153626 804906102 805555569 809328663 834337504 838921776 843915358 849816864 850203848 866821956 867521382 871584714 878079384 908831924 915604144 919892688 920634936 938629692 939057119 945623952 956479329 978742072 986035232 990653664 991453008 996096816 997354514 1016848833 1024425948 1030054662 1038665056 1067718624 1072719648 1073208136 1074074092 1079104884 1101084831 1108395288 1109289636 1155762608 1156695176 1162112952 1168498188 1169030291 1170772512 1177205328 1201730439 1207359153 1227513248 1251506256 1258382664 1258955698 1265873037 1267759584 1275305772 1300232934 1301282073 1355798444 1363247886 1365901264 1373406216 1379839032 1380952404 1438806512 1468113108 1477860384 1479052848 1485980496 1487179512 1487856734 1496031771 1536638922 1549483936 1557997584 1590455867 1600286688 1601577936 1602307252 1609812204 1611111138 1618657326 1677843552 1687830716 1700407696 1733643912 1735042764 1743169428 1756158768 1817663848 1831208288 1839785376 1841269872 1877259384 1878114238 1879629661 1888433547 1891247904 1912958658 1957484144 1982906016 1992193632 1994709028 2033697666 2044871829 2048851896 2060109324 2146416272 2148148184 2158209768 2202169662 2216790576 2218579272 2231785101 2311525216 2313390352 2324225904 2336996376 2338060582 2354410656 2403460878 2414718306 2416666707 2503012512 2516765328 2517911396 2531746074 2550611544 2600465868 2602564146 2711596888 2726495772 2731802528 2746812432 2759678064 2761904808 2817171357 2877613024 2936226216 2953703753 2958105696 2971960992 2974359024 2975713468 2992063542 3050546499 3073277844 3115995168 3180911734 3203155872 3204614504 3219624408 3222222276 3237314652 3375661432 3400815392 3467287824 3470085528 3486338856 3490740799 3507090873 3512317536 3605191317 3635327696 3682539744 3754518768 3756228476 3759259322 3776867094 3797619111 3825917316 3914968288 3989418056 4067395332 4089743658 4097703792 4120218648 4292832544 4296296368 4316419536 4404339324 4406344943 4433581152 4437158544 4463570202 4488095313 4626780704 4648451808 4673992752 4676121164 4771367601 4806921756 4829436612 4833333414 5033530656 5035822792 5063492148 5101223088 5200931736 5205128292 5207498569 5423193776 5452991544 5485449827 5493624864 5519356128 5523809616 5634342714 5638888983 5665300641 5872452432 5907407506 5948718048 5951426936 5984127084 6101092998 6146555688 6361823468 6409229008 6439248816 6444444552 6474629304 6482804341 6695355303 6751322864 6934575648 6940171056 6972677712 6981481598 7014181746 7210382634 7270655392 7509037536 7512456952 7518518644 7553734188 7595238222 7651834632 7978836112 8134790664 8179487316 8183212037 8195407584 8240437296 8451514071 8592592736 8632839072 8808678648 8812689886 8861111259 8874317088 8927140404 8976190626 9347985504 9352242328 9542735202 9613843512 9658873224 9666666828 10071645584 10126984296 10202446176 10401863472 10410256584 10414997138 10472222397 10521272619 10846387552 10905983088 10970899654 11047619232 11268685428 11277777966 11330601282 11744904864 11814815012 11902853872 11968254168 12202185996 12293111376 12723646936 12818458016 12878497632 12888889104 12949258608 12965608682 13219034829 13390710606 13502645728 13880342112 13945355424 13962963196 14028363492 14314102803 14420765268 15024913904 15037037288 15107468376 15190476444 15303669264 15622495707 15957672224 16269581328 16358974632 16366424074 16456349481 16480874592 16903028142 16916666949 17617357296 17625379772 17722222518 17854280808 17952381252 18704484656 19085470404 19227687024 19317746448 19333333656 19448413023 20143291168 20253968592 20675926271 20803726944 20820513168 20829994276 20944444794 21042545238 21811966176 21941799308 22537370856 22555555932 22661202564 23629630024 23805707744 23936508336 24404371992 24435185593 24549636111 24586222752 25447293872 25777778208 25898517216 25931217364 26438069658 26583333777 26781421212 27925926392 28056726984 28628205606 28841530536 30049827808 30074074576 30214936752 30380952888 30607338528 31244991414 31416667191 32539162656 32717949264 32732848148 32912698962 33806056284 33833333898 35234714592 35250759544 35444445036 35708561616 35904762504 37408969312 38170940808 38398148789 38455374048 38635492896 38666667312 38896826046 39657104487 40507937184 41351852542 41641026336 41659988552 41888889588 42085090476 43883598616 45074741712 45111111864 45322405128 45379630387 46867487121 47259260048 47873016672 48808743984 48870371186 49099272222 49369048443 50894587744 51862434728 52876139316 53166667554 53562842424 55851852784 56113453968 57256411212 57282484259 57683061072 58345239069 60148149152 60429873504 60761905776 62027778813 62489982828 62833334382 65435898528 65465696296 65825397924 67612112568 67666667796 70501519088 70888890072 71310847751 71417123232 71809525008 73305556779 73648908333 76341881616 76796297578 77333334624 77793652092 79314208974 82703705084 83319977104 83777779176 84170180952 87767197232 90149483424 90222223728 90644810256 90759260774 93734974242 94518520096 97617487968 97740742372 98198544444 98738096886 103724869456 105752278632 106333335108 107125684848 111703705568 112226907936 114512822424 114564968518 115194446367 115366122144 116690478138 121523811552 124055557626 124979965656 125666668764 130931392592 131650795848 135224225136 135333335592 136138891161 141003038176 141777780144 142621695502 143619050016 146611113558 147297816666 152683763232 153592595156 155587304184 158628417948 165407410168 166639954208 167555558352 168340361904 171847452777 175534394464 180444447456 181289620512 181518521548 186083336439 187469948484 195481484744 196397088888 197476193772 207449738912 211504557264 212666670216 213932543253 214251369696 219916670337 229025644848 229129937036 230388892734 233380956276 248111115252 249959931312 251333337528 261862785184 263301591696 268787041523 270448450272 270666671184 272277782322 283555560288 285243391004 293222227116 294595633332 307185190312 311174608368 317256835896 317657412709 330814820336 335111116704 336680723808 343694905554 345583339101 363037043096 372166672878 374939896968 390962969488 392794177776 394952387544 408416673483 423009114528 425333340432 427865086506 439833340674 458051289696 458259874072 460777785468 466761912552 496222230504 499175934257 499919862624 502666675056 515542358331 526603183392 537574083046 541333342368 544555564644 570486782008 586444454232 589191266664 614370380624 622349216736 634513671792 635314825418 641797629759 661629640672 687389811108 691166678202 726074086192 744333345756 749879793936 781925938976 785588355552 789904775088 806361124569 816833346966 850666680864 855730173012 879666681348 916519748144 921555570936 933523825104 952972238127 992444461008 998351868514 1005333350112 1031084716662 1075148166092 1089111129288 1140973564016 1172888908464 1178382533328 1228740761248 1269027343584 1270629650836 1283595259518 1374779622216 1382333356404 1452148172384 1488666691512 1497527802771 1499759587872 1579809550176 1612722249138 1633666693932 1711460346024 1759333362696 1833039496288 1843111141872 1867047650208 1905944476254 1984888922016 1996703737028 2062169433324 2150296332184 2178222258576 2281947128032 2345777816928 2356765066656 2419083373707 2541259301672 2567190519036 2749559244432 2764666712808 2858916714381 2977333383024 2995055605542 3225444498276 3267333387864 3422920692048 3494231539799 3518666725392 3686222283744 3811888952508 3993407474056 4124338866648 4300592664368 4356444517152 4492583408313 4838166747414 5082518603344 5134381038072 5499118488864 5529333425616 5717833428762 5954666766048 5990111211084 6450888996552 6534666775728 6845841384096 6988463079598 7037333450784 7623777905016 7986814948112 8248677733296 8601185328736 8985166816626 9676333494828 10165037206688 10268762076144 10482694619397 11058666851232 11435666857524 11980222422168 12901777993104 13069333551456 13976926159196 15247555810032 15973629896224 16497355466592 17970333633252 19352666989656 20537524152288 20965389238794 22871333715048 23960444844336 25803555986208 27953852318392 30495111620064 31448083858191 35940667266504 38705333979312 41930778477588 45742667430096 47920889688672 55907704636784 62896167716382 71881334533008 77410667958624 83861556955176 91485334860192 111815409273568 125792335432764 143762669066016 167723113910352 251584670865528 335446227820704 503169341731056 1006338683462112
- Sum of all divisors σ(n): 3999838050949104
- Sum of proper divisors (its aliquot sum) s(n): 2993499367486992
- 1006338683462112 is an abundant number, because the sum of its proper divisors (2993499367486992) is greater than itself. Its abundance is 1987160684024880
Bases of 1006338683462112
- Binary: 111001001101000010011110111100000001100001111000002
- Hexadecimal: 0x393427BC061E0
- Base-36: 9WPTLX8L40
Squares and roots of 1006338683462112
- 1006338683462112 squared (10063386834621122) is 1012717545832256852170539500544
- 1006338683462112 cubed (10063386834621123) is 1019136841791814430070662290847159093227388928
-
The
square root of 1006338683462112 is 31722841.6675132053 -
The
cube root of 1006338683462112 is 100210.8445819203
Scales and comparisons
How big is 1006338683462112?- 1,006,338,683,462,112 seconds is equal to 31,998,457 years, 16 weeks, 5 days, 23 hours, 55 minutes, 12 seconds.
-
To count from 1 to 1,006,338,683,462,112 would take you about ninety-five million, nine hundred ninety-five thousand, three hundred seventy-one 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 1006338683462112 cubic inches would be around 8350.9 feet tall.
Recreational maths with 1006338683462112
- 1006338683462112 backwards is 2112643868336001
- The number of decimal digits it has is: 16
- The sum of 1006338683462112's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 1006338683462112 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 1006338683462112 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/1006338683462112/
Chicago style:
Numbermatics. 2024. "Number 1006338683462112 - Facts about the integer". https://numbermatics.com/n/1006338683462112/
The information we have on file for 1006338683462112 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 1006338683462112, math, Factors of 1006338683462112, curriculum, school, college, exams, university, Prime factorization of 1006338683462112, STEM, science, technology, engineering, physics, economics, calculator, one quadrillion, six trillion, three hundred thirty-eight billion, six hundred eighty-three million, four hundred sixty-two thousand, one hundred twelve.