30192014426112
30,192,014,426,112 is an even composite number composed of seven prime numbers multiplied together.
What does the number 30192014426112 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
30192014426112 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 30192014426112:
215 × 32 × 7 × 11 × 192 × 29 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 11 × 19 × 19 × 29 × 127)See below for interesting mathematical facts about the number 30192014426112 from the Numbermatics database.
Names of 30192014426112
- Cardinal: 30192014426112 can be written as Thirty trillion, one hundred ninety-two billion, fourteen million, four hundred twenty-six thousand, one hundred twelve.
Scientific notation
- Scientific notation: 3.0192014426112 × 1013
Factors of 30192014426112
Divisors of 30192014426112
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 28 29 32 33 36 38 42 44 48 56 57 58 63 64 66 72 76 77 84 87 88 96 99 112 114 116 126 127 128 132 133 144 152 154 168 171 174 176 192 198 203 209 224 228 231 232 252 254 256 261 264 266 288 304 308 319 336 342 348 352 361 381 384 396 399 406 418 448 456 462 464 504 508 512 522 528 532 551 576 608 609 616 627 638 672 684 693 696 704 722 762 768 792 798 812 836 889 896 912 924 928 957 1008 1016 1024 1044 1056 1064 1083 1102 1143 1152 1197 1216 1218 1232 1254 1276 1344 1368 1386 1392 1397 1408 1444 1463 1524 1536 1584 1596 1624 1653 1672 1778 1792 1824 1827 1848 1856 1881 1914 2016 2032 2048 2088 2112 2128 2166 2204 2233 2286 2304 2394 2413 2432 2436 2464 2508 2527 2552 2667 2688 2736 2772 2784 2794 2816 2871 2888 2926 3048 3072 3168 3192 3248 3249 3306 3344 3556 3584 3648 3654 3683 3696 3712 3762 3828 3857 3971 4032 4064 4096 4176 4191 4224 4256 4332 4389 4408 4466 4572 4608 4788 4826 4864 4872 4928 4959 5016 5054 5104 5334 5376 5472 5544 5568 5588 5632 5742 5776 5852 6061 6096 6144 6336 6384 6496 6498 6612 6688 6699 7112 7168 7239 7296 7308 7366 7392 7424 7524 7581 7656 7714 7942 8001 8064 8128 8192 8352 8382 8448 8512 8664 8778 8816 8932 9144 9216 9576 9652 9728 9744 9779 9856 9918 10032 10108 10208 10469 10668 10752 10944 11049 11088 11136 11176 11264 11484 11552 11571 11704 11913 12122 12192 12288 12573 12672 12768 12992 12996 13167 13224 13376 13398 14224 14336 14478 14592 14616 14732 14784 14848 15048 15162 15312 15428 15884 16002 16128 16256 16384 16704 16764 16891 16896 17024 17328 17556 17632 17864 18183 18288 18432 19152 19304 19456 19488 19558 19712 19836 20064 20097 20216 20416 20938 21336 21504 21717 21888 22098 22176 22272 22352 22528 22743 22968 23104 23142 23408 23826 24244 24384 24576 25146 25344 25536 25781 25984 25992 26334 26448 26543 26752 26796 27797 28448 28672 28956 29184 29232 29337 29464 29568 29696 30096 30324 30624 30856 31407 31768 32004 32256 32512 32768 33147 33408 33528 33782 33792 34048 34656 34713 35112 35264 35728 35739 36366 36576 36864 38304 38608 38912 38976 39116 39424 39672 40128 40194 40432 40513 40832 41876 42427 42672 43008 43434 43776 44196 44352 44544 44704 45056 45486 45847 45936 46208 46284 46816 47652 48488 48768 49152 50292 50673 50688 51072 51562 51968 51984 52668 52896 53086 53504 53592 54549 55594 56896 57344 57912 58368 58464 58674 58928 59136 59392 60192 60648 61248 61712 62814 63536 64008 64512 65024 66294 66816 67056 67564 67584 68096 69312 69426 69977 70224 70528 71456 71478 72732 73152 73283 73728 76608 77216 77343 77824 77952 78232 78848 79344 79629 80256 80388 80864 81026 81664 83391 83752 84854 85344 86016 86868 87552 88011 88392 88704 89088 89408 90112 90972 91694 91872 92416 92568 93632 94221 95304 96976 97536 98304 100584 101346 101376 102144 103124 103936 103968 105336 105792 106172 107008 107184 109098 111188 113792 114688 115159 115824 116736 116928 117348 117856 118272 118784 120384 121296 121539 122496 123424 125628 127072 127281 128016 129024 130048 132588 133632 134112 135128 135168 136192 137541 138624 138852 139954 140448 141056 142912 142956 145464 146304 146566 147456 152019 153216 154432 154686 155648 155904 156464 157696 158688 159258 160512 160776 161728 162052 163328 166782 167504 169708 170688 172032 173736 175104 176022 176784 177408 178176 178816 180224 181944 183388 183744 184832 185136 185801 187264 188442 190608 193952 195072 201168 202692 202752 204288 206248 207872 207936 209931 210672 211584 212344 214016 214368 218196 219849 222376 227584 229376 230318 231648 232029 233472 233856 234696 235712 236544 237568 238887 240768 242592 243078 244992 246848 250173 251256 254144 254562 256032 258048 260096 265176 267264 268224 270256 270336 272384 275082 277248 277704 279908 280896 282112 283591 285824 285912 290928 292608 293132 294912 304038 306432 308864 309372 311296 311808 312928 315392 317376 318516 320929 321024 321552 323456 324104 326656 333564 335008 339416 341376 344064 345477 347472 350208 352044 353568 354816 356352 357632 360448 363888 364617 366776 367488 369664 370272 371602 374528 376884 381216 381843 387904 390144 402336 405384 405504 408576 412496 412623 415744 415872 419862 421344 423168 424688 428032 428736 436392 439698 444752 455168 460636 463296 464058 466944 467712 469392 471424 473088 475136 477774 481536 485184 486156 489839 489984 493696 500346 502512 504317 508288 509124 512064 516096 520192 530352 534528 536448 540512 540672 544768 550164 554496 555408 557403 559816 561792 564224 567182 571648 571824 581856 585216 586264 608076 612864 617728 618744 622592 623616 625856 629793 630784 634752 637032 641858 642048 643104 646912 648208 653312 659547 667128 670016 678832 682752 688128 690954 694944 700416 704088 707136 709632 712704 715264 727776 729234 733552 734976 739328 740544 743204 749056 753768 762432 763686 769747 775808 780288 804672 806113 810768 811008 817152 824992 825246 831488 831744 839724 842688 846336 849376 850773 856064 857472 872784 879396 889504 910336 921272 926592 928116 933888 935424 938784 942848 946176 950272 955548 962787 963072 970368 972312 979678 979968 987392 1000692 1005024 1008634 1016576 1018248 1024128 1032192 1036431 1040384 1060704 1069056 1072896 1081024 1081344 1089536 1100328 1108992 1110816 1114806 1119632 1123584 1128448 1134364 1143296 1143648 1163712 1170432 1172528 1216152 1225728 1235456 1237488 1247232 1251712 1259586 1261568 1269504 1274064 1283716 1284096 1286208 1293824 1296416 1306624 1319094 1329563 1334256 1340032 1357664 1365504 1381908 1389888 1400832 1408176 1414272 1419264 1425408 1430528 1455552 1458468 1467104 1469517 1469952 1478656 1481088 1486408 1498112 1507536 1512951 1524864 1527372 1539494 1551616 1560576 1609344 1612226 1621536 1622016 1634304 1649984 1650492 1662976 1663488 1672209 1679448 1685376 1692672 1698752 1701546 1712128 1714944 1745568 1758792 1779008 1820672 1842544 1853184 1856232 1867776 1870848 1877568 1885696 1892352 1911096 1925574 1926144 1940736 1944624 1959356 1959936 1974784 2001384 2010048 2017268 2033152 2036496 2048256 2064384 2072862 2080768 2121408 2138112 2145792 2162048 2179072 2200656 2217984 2221632 2229612 2239264 2247168 2256896 2268728 2286592 2287296 2309241 2327424 2340864 2345056 2418339 2432304 2451456 2470912 2474976 2494464 2503424 2519172 2523136 2539008 2548128 2552319 2567432 2568192 2572416 2587648 2592832 2613248 2638188 2659126 2668512 2680064 2715328 2731008 2763816 2779776 2801664 2816352 2828544 2838528 2850816 2861056 2888361 2911104 2916936 2934208 2939034 2939904 2957312 2962176 2972816 2996224 3015072 3025902 3049728 3054744 3078988 3103232 3121152 3218688 3224452 3243072 3244032 3268608 3299968 3300984 3325952 3326976 3344418 3358896 3370752 3385344 3397504 3403092 3424256 3429888 3491136 3517584 3530219 3558016 3641344 3685088 3706368 3712464 3741696 3755136 3771392 3784704 3822192 3851148 3852288 3881472 3889248 3918712 3919872 3949568 3988689 4002768 4020096 4034536 4066304 4072992 4096512 4145724 4161536 4242816 4276224 4291584 4324096 4358144 4401312 4408551 4435968 4443264 4459224 4478528 4494336 4513792 4537456 4538853 4573184 4574592 4618482 4654848 4681728 4690112 4836678 4864608 4902912 4941824 4949952 4988928 5006848 5038344 5078016 5096256 5104638 5134864 5136384 5144832 5175296 5185664 5226496 5276376 5318252 5337024 5360128 5388229 5430656 5462016 5527632 5559552 5603328 5632704 5657088 5677056 5722112 5776722 5822208 5833872 5868416 5878068 5879808 5914624 5924352 5945632 5992448 6030144 6051804 6099456 6109488 6157976 6206464 6242304 6437376 6448904 6486144 6537216 6599936 6601968 6651904 6653952 6688836 6717792 6741504 6770688 6795008 6806184 6848512 6859776 6927723 6982272 7035168 7060438 7116032 7255017 7282688 7370176 7412736 7424928 7483392 7510272 7542784 7569408 7644384 7702296 7704576 7762944 7778496 7837424 7839744 7899136 7977378 8005536 8040192 8069072 8132608 8145984 8193024 8291448 8485632 8552448 8583168 8648192 8802624 8817102 8871936 8886528 8918448 8957056 8988672 9027584 9074912 9077706 9146368 9149184 9236964 9306941 9309696 9363456 9380224 9673356 9729216 9805824 9883648 9899904 9977856 10013696 10076688 10156032 10192512 10209276 10269728 10272768 10289664 10350592 10371328 10452992 10552752 10590657 10636504 10674048 10720256 10776458 10861312 10924032 11055264 11119104 11265408 11314176 11354112 11444224 11553444 11644416 11667744 11736832 11756136 11759616 11829248 11848704 11891264 11966067 11984896 12060288 12103608 12198912 12218976 12315952 12412928 12484608 12874752 12897808 12972288 13074432 13199872 13203936 13307904 13377672 13435584 13483008 13541376 13590016 13612368 13719552 13855446 13964544 14070336 14120876 14232064 14510034 14565376 14625193 14740352 14825472 14849856 14966784 15020544 15085568 15288768 15404592 15409152 15525888 15556992 15674848 15679488 15798272 15954756 16011072 16080384 16138144 16164687 16265216 16291968 16386048 16582896 16971264 17166336 17296384 17605248 17634204 17743872 17773056 17836896 17914112 17977344 18055168 18149824 18155412 18292736 18298368 18473928 18613882 18619392 18726912 18760448 19346712 19458432 19611648 19767296 19799808 19955712 20027392 20153376 20312064 20385024 20418552 20539456 20545536 20579328 20701184 20742656 21105504 21181314 21273008 21348096 21440512 21552916 21722624 21848064 22110528 22238208 22530816 22628352 22708224 22888448 23106888 23288832 23335488 23473664 23512272 23519232 23697408 23782528 23932134 23969792 24120576 24207216 24397824 24437952 24631904 24825856 25749504 25795616 25944576 26399744 26407872 26615808 26755344 26871168 26966016 27082752 27180032 27224736 27439104 27710892 27920823 27929088 28140672 28241752 28464128 29020068 29130752 29250386 29480704 29650944 29699712 29933568 30041088 30171136 30577536 30809184 30818304 31051776 31113984 31349696 31358976 31596544 31771971 31909512 32022144 32160768 32276288 32329374 32530432 32583936 32772096 33165792 33942528 34332672 34592768 35210496 35268408 35487744 35546112 35673792 35828224 35954688 36299648 36310824 36585472 36596736 36947856 37227764 37238784 37453824 37520896 38693424 38916864 39223296 39534592 39599616 40054784 40306752 40624128 40770048 40837104 41078912 41158656 41402368 41485312 42211008 42362628 42546016 42696192 42881024 43105832 43445248 43696128 43875579 44221056 44476416 45061632 45256704 45776896 46213776 46577664 46670976 46947328 47024544 47038464 47394816 47565056 47864268 47939584 48241152 48414432 48494061 48795648 48875904 49263808 49651712 51499008 51591232 51889152 52799488 52815744 53231616 53510688 53742336 53932032 54165504 54360064 54449472 54878208 55421784 55841646 55858176 56281344 56483504 56928256 58040136 58500772 58961408 59301888 59399424 59867136 60082176 60342272 61155072 61618368 61636608 62103552 62227968 62699392 63193088 63543942 63819024 64044288 64321536 64552576 64658748 65060864 65167872 65544192 66331584 67885056 68665344 69185536 70420992 70536816 71092224 71347584 71656448 71909376 72599296 72621648 73170944 73193472 73895712 74455528 74477568 75041792 77386848 77833728 79069184 79199232 80109568 80613504 81248256 81540096 81674208 82157824 82317312 82804736 82970624 83762469 84422016 84725256 85092032 85392384 85762048 86211664 86890496 87392256 87751158 88442112 88952832 90123264 90513408 92427552 93155328 93341952 93894656 94049088 94076928 94789632 95130112 95728536 96482304 96828864 96988122 97591296 97751808 98527616 99303424 102376351 102998016 103182464 103778304 105598976 105631488 106463232 107021376 107484672 107864064 108720128 108898944 109756416 110843568 111683292 111716352 112562688 112967008 113856512 116080272 117001544 117922816 118603776 118798848 120164352 120684544 122310144 123236736 124207104 124455936 125398784 126386176 127087884 127638048 128088576 128643072 129105152 129317496 130121728 130335744 131088384 131626737 132663168 135770112 137330688 138371072 140841984 141073632 142184448 142695168 143312896 143818752 145198592 145243296 146386944 147791424 148911056 148955136 150083584 154773696 155667456 158398464 160219136 161227008 162496512 163080192 163348416 164315648 164634624 165941248 167524938 168844032 169450512 170184064 170784768 171524096 172423328 173780992 175502316 176884224 177905664 180246528 181026816 184855104 186310656 186683904 187789312 188098176 189579264 190260224 191457072 192964608 193657728 193976244 195182592 195503616 197055232 198606848 204752702 205996032 206364928 207556608 211197952 211262976 214042752 214969344 215728128 217440256 217797888 219512832 221687136 223366584 223432704 225125376 225934016 227713024 232160544 234003088 235845632 237207552 237597696 240328704 244620288 246473472 248414208 248911872 250797568 254175768 255276096 256177152 257286144 258210304 258634992 260671488 262176768 263253474 265326336 271540224 276742144 281683968 282147264 284368896 285390336 286625792 290397184 290486592 292773888 295582848 297822112 297910272 300167168 307129053 309547392 311334912 316796928 320438272 322454016 326160384 326696832 328631296 329269248 331882496 335049876 337688064 338901024 340368128 341569536 343048192 344846656 347561984 351004632 353768448 355811328 360493056 362053632 369710208 372621312 373367808 375578624 376196352 379158528 380520448 382914144 385929216 387315456 387952488 390365184 391007232 394110464 409505404 411992064 412729856 415113216 422395904 422525952 428085504 429938688 431456256 434880512 435595776 443374272 446733168 446865408 450250752 451868032 455426048 464321088 468006176 471691264 475195392 480657408 489240576 492946944 497823744 501595136 508351536 510552192 512354304 514572288 516420608 517269984 521342976 526506948 530652672 543080448 553484288 563367936 564294528 568737792 570780672 573251584 580794368 580973184 585547776 591165696 595644224 595820544 600334336 614258106 619094784 622669824 633593856 644908032 652320768 653393664 657262592 658538496 663764992 670099752 675376128 677802048 680736256 683139072 689693312 695123968 702009264 707536896 711622656 720986112 739420416 745242624 746735616 751157248 752392704 761040896 765828288 771858432 774630912 775904976 782014464 788220928 819010808 825459712 830226432 844791808 845051904 856171008 859877376 869761024 871191552 886748544 893466336 893730816 900501504 903736064 910852096 921387159 928642176 936012352 943382528 950390784 961314816 978481152 985893888 995647488 1003190272 1016703072 1021104384 1024708608 1029144576 1032841216 1034539968 1042685952 1053013896 1061305344 1086160896 1126735872 1128589056 1137475584 1141561344 1146503168 1161588736 1161946368 1171095552 1182331392 1191288448 1200668672 1228516212 1238189568 1245339648 1267187712 1289816064 1304641536 1306787328 1314525184 1327529984 1340199504 1350752256 1355604096 1361472512 1366278144 1379386624 1390247936 1404018528 1415073792 1441972224 1478840832 1493471232 1502314496 1504785408 1522081792 1531656576 1543716864 1549261824 1551809952 1564028928 1576441856 1638021616 1650919424 1660452864 1690103808 1712342016 1719754752 1742383104 1773497088 1786932672 1787461632 1801003008 1807472128 1842774318 1857284352 1872024704 1886765056 1900781568 1956962304 1971787776 1991294976 2006380544 2033406144 2042208768 2049417216 2065682432 2069079936 2085371904 2106027792 2122610688 2253471744 2257178112 2283122688 2293006336 2323177472 2323892736 2364662784 2382576896 2401337344 2457032424 2476379136 2490679296 2534375424 2579632128 2609283072 2613574656 2629050368 2680399008 2701504512 2711208192 2722945024 2732556288 2758773248 2808037056 2830147584 2883944448 2957681664 2986942464 3009570816 3044163584 3063313152 3087433728 3098523648 3103619904 3128057856 3152883712 3276043232 3301838848 3380207616 3424684032 3439509504 3484766208 3546994176 3573865344 3602006016 3614944256 3685548636 3714568704 3744049408 3773530112 3801563136 3913924608 3943575552 3982589952 4012761088 4066812288 4084417536 4098834432 4131364864 4138159872 4170743808 4212055584 4245221376 4506943488 4514356224 4566245376 4646354944 4647785472 4729325568 4765153792 4914064848 4952758272 4981358592 5159264256 5227149312 5258100736 5360798016 5403009024 5422416384 5445890048 5517546496 5616074112 5660295168 5915363328 5973884928 6019141632 6088327168 6126626304 6197047296 6207239808 6256115712 6305767424 6552086464 6603677696 6760415232 6849368064 6879019008 6969532416 7093988352 7147730688 7204012032 7229888512 7371097272 7429137408 7488098816 7603126272 7827849216 7887151104 8025522176 8133624576 8168835072 8197668864 8262729728 8276319744 8424111168 8490442752 9028712448 9132490752 9292709888 9295570944 9458651136 9530307584 9828129696 9905516544 10318528512 10454298624 10516201472 10721596032 10806018048 10844832768 10891780096 11035092992 11232148224 11320590336 11830726656 11947769856 12038283264 12253252608 12394094592 12414479616 12512231424 12611534848 13104172928 13207355392 13520830464 13698736128 13939064832 14187976704 14295461376 14459777024 14742194544 14858274816 14976197632 15774302208 16051044352 16267249152 16337670144 16525459456 16552639488 16848222336 16980885504 18057424896 18264981504 18591141888 18917302272 19060615168 19656259392 19811033088 20637057024 20908597248 21443192064 21612036096 21689665536 21783560192 22070185984 22464296448 23661453312 24076566528 24506505216 24788189184 24828959232 25223069696 26208345856 26414710784 27397472256 27878129664 28375953408 28590922752 28919554048 29484389088 29716549632 29952395264 31548604416 32534498304 32675340288 33105278976 33696444672 33961771008 36114849792 37182283776 37834604544 38121230336 39312518784 39622066176 41817194496 42886384128 43379331072 43567120384 44140371968 44928592896 47322906624 48153133056 49013010432 49576378368 49657918464 52416691712 54794944512 56751906816 57181845504 57839108096 58968778176 59433099264 59904790528 65068996608 65350680576 66210557952 67392889344 72229699584 74364567552 75669209088 76242460672 78625037568 79244132352 83634388992 85772768256 86758662144 88280743936 89857185792 94645813248 98026020864 99315836928 104833383424 113503813632 114363691008 115678216192 117937556352 118866198528 119809581056 130137993216 130701361152 132421115904 134785778688 144459399168 148729135104 152484921344 157250075136 171545536512 173517324288 176561487872 179714371584 196052041728 198631673856 209666766848 227007627264 228727382016 235875112704 237732397056 239619162112 260275986432 264842231808 269571557376 304969842688 314500150272 343091073024 347034648576 359428743168 392104083456 397263347712 419333533696 457454764032 471750225408 479238324224 520551972864 529684463616 539143114752 629000300544 686182146048 718857486336 794526695424 838667067392 914909528064 943500450816 1041103945728 1078286229504 1258000601088 1372364292096 1437714972672 1589053390848 1677334134784 1887000901632 2156572459008 2516001202176 2744728584192 3354668269568 3774001803264 4313144918016 5032002404352 7548003606528 10064004808704 15096007213056 30192014426112
- Sum of all divisors σ(n): 119658647347200
- Sum of proper divisors (its aliquot sum) s(n): 89466632921088
- 30192014426112 is an abundant number, because the sum of its proper divisors (89466632921088) is greater than itself. Its abundance is 59274618494976
Bases of 30192014426112
- Binary: 1101101110101101000000100101110000000000000002
- Hexadecimal: 0x1B75A04B8000
- Base-36: APA0PURK0
Squares and roots of 30192014426112
- 30192014426112 squared (301920144261122) is 911557735106555120707436544
- 30192014426112 cubed (301920144261123) is 27521764288571093317895029635446816636928
-
The
square root of 30192014426112 is 5494726.0556020443 -
The
cube root of 30192014426112 is 31138.4767328457
Scales and comparisons
How big is 30192014426112?- 30,192,014,426,112 seconds is equal to 960,012 years, 34 weeks, 5 days, 9 hours, 55 minutes, 12 seconds.
-
To count from 1 to 30,192,014,426,112 would take you about two million, four hundred thousand and thirty-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 30192014426112 cubic inches would be around 2594.9 feet tall.
Recreational maths with 30192014426112
- 30192014426112 backwards is 21162441029103
- 30192014426112 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 30192014426112's digits is 36
- 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 30192014426112 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
APA style:
Numbermatics. (2024). Number 30192014426112 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/30192014426112/
Chicago style:
Numbermatics. 2024. "Number 30192014426112 - Facts about the integer". https://numbermatics.com/n/30192014426112/
The information we have on file for 30192014426112 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 30192014426112, math, Factors of 30192014426112, curriculum, school, college, exams, university, Prime factorization of 30192014426112, STEM, science, technology, engineering, physics, economics, calculator, thirty trillion, one hundred ninety-two billion, fourteen million, four hundred twenty-six thousand, one hundred twelve.