968532338833920
968,532,338,833,920 is an even composite number composed of seven prime numbers multiplied together.
968532338833920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 968532338833920:
29 × 36 × 5 × 7 × 67 × 131 × 8447
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 7 × 67 × 131 × 8447)See below for interesting mathematical facts about the number 968532338833920 from the Numbermatics database.
Names of 968532338833920
- Cardinal: 968532338833920 can be written as Nine hundred sixty-eight trillion, five hundred thirty-two billion, three hundred thirty-eight million, eight hundred thirty-three thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 9.6853233883392 × 1014
Factors of 968532338833920
Divisors of 968532338833920
- Number of divisors d(n): 2240
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 67 70 72 80 81 84 90 96 105 108 112 120 126 128 131 134 135 140 144 160 162 168 180 189 192 201 210 216 224 240 243 252 256 262 268 270 280 288 315 320 324 335 336 360 378 384 393 402 405 420 432 448 469 480 486 504 512 524 536 540 560 567 576 603 630 640 648 655 670 672 720 729 756 768 786 804 810 840 864 896 917 938 945 960 972 1005 1008 1048 1072 1080 1120 1134 1152 1179 1206 1215 1260 1280 1296 1310 1340 1344 1407 1440 1458 1512 1536 1572 1608 1620 1680 1701 1728 1792 1809 1834 1876 1890 1920 1944 1965 2010 2016 2096 2144 2160 2240 2268 2304 2345 2358 2412 2430 2520 2560 2592 2620 2680 2688 2751 2814 2835 2880 2916 3015 3024 3144 3216 3240 3360 3402 3456 3537 3584 3618 3645 3668 3752 3780 3840 3888 3930 4020 4032 4192 4221 4288 4320 4480 4536 4585 4608 4690 4716 4824 4860 5040 5103 5184 5240 5360 5376 5427 5502 5628 5670 5760 5832 5895 6030 6048 6288 6432 6480 6720 6804 6912 7035 7074 7236 7290 7336 7504 7560 7680 7776 7860 8040 8064 8253 8384 8442 8447 8505 8576 8640 8777 8960 9045 9072 9170 9380 9432 9648 9720 10080 10206 10368 10480 10611 10720 10752 10854 11004 11256 11340 11520 11664 11790 12060 12096 12576 12663 12864 12960 13440 13608 13755 13824 14070 14148 14472 14580 14672 15008 15120 15552 15720 16080 16128 16281 16506 16768 16884 16894 17010 17152 17280 17554 17685 17920 18090 18144 18340 18760 18864 19296 19440 20160 20412 20736 20960 21105 21222 21440 21708 22008 22512 22680 23040 23328 23580 24120 24192 24759 25152 25326 25341 25515 25728 25920 26331 26880 27135 27216 27510 28140 28296 28944 29160 29344 30016 30240 31104 31440 31833 32160 32256 32562 33012 33536 33768 33788 34020 34304 34560 35108 35370 36180 36288 36680 37520 37728 37989 38592 38880 40320 40824 41265 41472 41920 42210 42235 42444 42880 43416 43885 44016 45024 45360 46656 47160 48240 48384 48843 49518 50304 50652 50682 51030 51456 51840 52662 53055 53760 54270 54432 55020 56280 56592 57888 58320 58688 59129 60032 60480 61439 62208 62880 63315 63666 64320 65124 66024 67072 67536 67576 68040 69120 70216 70740 72360 72576 73360 74277 75040 75456 75978 76023 77184 77760 78993 80640 81405 81648 82530 83840 84420 84470 84888 85760 86832 87770 88032 90048 90720 93312 94320 95499 96480 96768 97686 99036 100608 101304 101364 102060 102912 103680 105324 106110 108540 108864 110040 112560 113184 113967 115776 116640 117376 118258 120064 120960 122878 123795 124416 125760 126630 126705 127332 128640 130248 131655 132048 135072 135152 136080 140432 141480 144720 145152 146720 148554 150080 150912 151956 152046 154368 155520 157986 159165 161280 162810 163296 165060 167680 168840 168940 169776 171520 173664 175540 176064 177387 180096 181440 184317 186624 188640 189945 190998 192960 195372 198072 201216 202608 202728 204120 207360 210648 212220 217080 217728 220080 222831 225120 226368 227934 228069 231552 233280 234752 236516 236979 240128 241920 244215 245756 247590 251520 253260 253410 254664 257280 260496 263310 264096 270144 270304 272160 280864 282960 289440 290304 293440 295645 297108 300160 301824 303912 304092 307195 308736 311040 315972 318330 325620 326592 330120 335360 337680 337880 339552 341901 347328 351080 352128 354774 360192 362880 368634 371385 373248 377280 379890 380115 381996 385920 390744 394965 396144 405216 405456 408240 421296 424440 434160 435456 440160 445662 450240 452736 455868 456138 463104 466560 469504 473032 473958 477495 483840 488430 491512 495180 503040 506520 506820 509328 514560 520992 526620 528192 532161 540288 540608 544320 552951 561728 565920 565949 569835 578880 586880 591290 594216 600320 603648 607824 608184 614390 622080 631944 636660 651240 653184 660240 668493 675360 675760 679104 683802 684207 694656 702160 704256 709548 710937 720384 725760 737268 742770 754560 759780 760230 763992 771840 781488 789930 792288 810432 810912 816480 842592 848880 868320 870912 880320 886935 891324 900480 905472 911736 912276 921585 926208 933120 946064 947916 954990 976860 983024 990360 1006080 1013040 1013640 1018656 1041984 1053240 1056384 1064322 1080576 1081216 1088640 1105902 1106557 1114155 1123456 1131840 1131898 1139670 1140345 1157760 1173760 1182580 1184895 1188432 1200640 1215648 1216368 1228780 1263888 1273320 1302480 1306368 1320480 1336986 1350720 1351520 1358208 1367604 1368414 1389312 1404320 1408512 1419096 1421874 1451520 1474536 1485540 1509120 1519560 1520460 1527984 1543680 1562976 1579860 1584576 1596483 1620864 1621824 1632960 1658853 1685184 1697760 1697847 1709505 1736640 1760640 1773870 1782648 1800960 1810944 1823472 1824552 1843170 1866240 1892128 1895832 1909980 1953720 1966048 1980720 2026080 2027280 2037312 2052621 2083968 2106480 2112768 2128644 2132811 2161152 2162432 2177280 2211804 2213114 2228310 2246912 2263680 2263796 2279340 2280690 2315520 2347520 2365160 2369790 2376864 2431296 2432736 2457560 2527776 2546640 2604960 2612736 2640960 2660805 2673972 2701440 2703040 2716416 2735208 2736828 2764755 2778624 2808640 2829745 2838192 2843748 2949072 2971080 3018240 3039120 3040920 3055968 3125952 3159720 3169152 3192966 3241728 3243648 3265920 3317706 3319671 3342465 3370368 3395520 3395694 3419010 3421035 3473280 3521280 3547740 3554685 3565296 3601920 3646944 3649104 3686340 3784256 3791664 3819960 3907440 3932096 3961440 3961643 4052160 4054560 4074624 4105242 4167936 4212960 4225536 4257288 4265622 4324864 4354560 4423608 4426228 4456620 4493824 4527360 4527592 4558680 4561380 4631040 4730320 4739580 4753728 4789449 4862592 4865472 4915120 4976559 5055552 5093280 5093541 5209920 5281920 5321610 5347944 5402880 5406080 5432832 5470416 5473656 5529510 5532785 5617280 5659490 5676384 5687496 5898144 5942160 6078240 6081840 6111936 6157863 6251904 6319440 6338304 6385932 6398433 6483456 6487296 6531840 6635412 6639342 6684930 6740736 6791040 6791388 6838020 6842070 6946560 7042560 7095480 7109370 7130592 7293888 7298208 7372680 7568512 7583328 7639920 7745899 7814880 7864192 7922880 7923286 7982415 8104320 8109120 8149248 8210484 8294265 8335872 8425920 8489235 8514576 8531244 8847216 8852456 8913240 9054720 9055184 9117360 9122760 9460640 9479160 9507456 9578898 9725184 9730944 9830240 9953118 9959013 10111104 10186560 10187082 10263105 10419840 10563840 10643220 10664055 10695888 10805760 10812160 10940832 10947312 11059020 11065570 11234560 11318980 11352768 11374992 11796288 11884320 11884929 12156480 12163680 12223872 12315726 12503808 12638880 12676608 12771864 12796866 12974592 13063680 13270824 13278684 13369860 13481472 13582080 13582776 13676040 13684140 13893120 14190960 14218740 14261184 14368347 14587776 14596416 14745360 14929677 15137024 15166656 15279840 15280623 15491798 15629760 15728384 15845760 15846572 15964830 16208640 16218240 16298496 16420968 16588530 16598355 16851840 16978470 17029152 17062488 17694432 17704912 17826480 18110368 18234720 18245520 18921280 18958320 19014912 19157796 19450368 19461888 19660480 19808215 19906236 19918026 20222208 20373120 20374164 20526210 20839680 21127680 21286440 21328110 21391776 21624320 21881664 21894624 22118040 22131140 22469120 22637960 22705536 22749984 23237697 23592576 23768640 23769858 23947245 24312960 24327360 24447744 24631452 24882795 25007616 25277760 25467705 25543728 25593732 26541648 26557368 26739720 27164160 27165552 27352080 27368280 28381920 28437480 28522368 28736694 29175552 29192832 29490720 29859354 29877039 30274048 30333312 30559680 30561246 30789315 30983596 31259520 31456768 31691520 31693144 31929660 31992165 32417280 32436480 32841936 33177060 33196710 33703680 33956940 34058304 34124976 35388864 35409824 35652960 35654787 36220736 36469440 36491040 37842560 37916640 38029824 38315592 38729495 38923776 39320960 39616430 39812472 39836052 40444416 40746240 40748328 41052420 41679360 42572880 42656220 42783552 43105041 43763328 43789248 44236080 44262280 44789031 45275920 45411072 45499968 45841869 46475394 47185152 47537280 47539716 47894490 48625920 48654720 48895488 49262904 49765590 49795065 50555520 50935410 51087456 51187464 53083296 53114736 53479440 54331104 54704160 54736560 56763840 56874960 57044736 57473388 58351104 58385664 58981440 59424645 59718708 59754078 60666624 61119360 61122492 61578630 61967192 62519040 63383040 63386288 63859320 63984330 64872960 65683872 66354120 66393420 67407360 67913880 68116608 68249952 69713091 70777728 70819648 71305920 71309574 71841735 72441472 72938880 72982080 74139319 74648385 75685120 75833280 76403115 76631184 77458990 78641920 79232860 79624944 79672104 81492480 81496656 82104840 85145760 85312440 85567104 86210082 87526656 87578496 88472160 88524560 89578062 89631117 90551840 90822144 90999936 91683738 92950788 94370304 95074560 95079432 95788980 97251840 97309440 98525808 99531180 99590130 101111040 101870820 102174912 102374928 106166592 106229472 106958880 106964361 108662208 109408320 109473120 113527680 113749920 114089472 114946776 116188485 116771328 117962880 118849290 119437416 119508156 121333248 122238720 122244984 123157260 123934384 125038080 126772576 127718640 127968660 131367744 132708240 132786840 135827760 136233216 136499904 137525607 139426182 141555456 141639296 142611840 142619148 143683470 144882944 145877760 145964160 148278638 149296770 149385195 151370240 151666560 152806230 153262368 154917980 157283840 158465720 159249888 159344208 162993312 164209680 170291520 170624880 171134208 172420164 175053312 175156992 176944320 177049120 178273935 179156124 179262234 181103680 181999872 183367476 185901576 190149120 190158864 191577960 194618880 197051616 199062360 199180260 202222080 203741640 204349824 204749856 209139273 212333184 212458944 213917760 213928722 215525205 217324416 218816640 218946240 222417957 223945155 227055360 227499840 229209345 229893552 232376970 235925760 237698580 238874832 239016312 244477440 244489968 246314520 247868768 253545152 255437280 255937320 262735488 265416480 265573680 268893351 271655520 272466432 272999808 275051214 278852364 283110912 283278592 285223680 285238296 287366940 289765888 291755520 291928320 296557276 298593540 298770390 303333120 305612460 306524736 309835960 316931440 318499776 318688416 320893083 325986624 328419360 340583040 341249760 342268416 344840328 348565455 350313984 353888640 354098240 356547870 358312248 358524468 362207360 363999744 366734952 370696595 371803152 380317728 383155920 394103232 398124720 398360520 407483280 408699648 409499712 412576821 418278546 424666368 424917888 427835520 427857444 431050410 434648832 437633280 437892480 444835914 447890310 448155585 454110720 454999680 458418690 459787104 464753940 471851520 475397160 477749664 478032624 488979936 492629040 495737536 507090304 510874560 511874640 518975233 525470976 530832960 531147360 534821805 537786702 543311040 545999616 550102428 557704728 566557184 570447360 570476592 574733880 583856640 593114552 597187080 597540780 606666240 611224920 613049472 619671920 627417819 633862880 636999552 637376832 641786166 651973248 656838720 667253871 681166080 682499520 687628035 689680656 697130910 707777280 708196480 713095740 716624496 717048936 724414720 733469904 741393190 743606304 760635456 766311840 788206464 796249440 796721040 806680053 814966560 817399296 818999424 825153642 836557092 849332736 849835776 855671040 855714888 862100820 869297664 875266560 875784960 889671828 895780620 896311170 909999360 916837380 919574208 929507880 950794320 955499328 956065248 962679249 977959872 985258080 991475072 1014180608 1021749120 1023749280 1037950466 1045696365 1050941952 1061665920 1062294720 1069643610 1075573404 1086622080 1091999232 1100204856 1112089785 1115409456 1140953184 1149467760 1186229104 1194374160 1195081560 1222449840 1226098944 1239343840 1254835638 1267725760 1273999104 1274753664 1283572332 1303946496 1313677440 1334507742 1344466755 1362332160 1364999040 1375256070 1379361312 1394261820 1415554560 1416392960 1426191480 1433248992 1434097872 1448829440 1466939808 1482786380 1487212608 1521270912 1532623680 1556925699 1576412928 1592498880 1593442080 1604465415 1613360106 1629933120 1637998848 1650307284 1673114184 1699671552 1711342080 1711429776 1724201640 1751569920 1779343656 1791561240 1792622340 1819998720 1833674760 1839148416 1859015760 1882253457 1901588640 1910998656 1912130496 1925358498 1955919744 1970516160 1982950144 2001761613 2028361216 2043498240 2047498560 2062884105 2075900932 2091392730 2123331840 2124589440 2139287220 2151146808 2173244160 2200409712 2224179570 2230818912 2281906368 2298935520 2372458208 2388748320 2390163120 2444899680 2452197888 2478687680 2509671276 2535451520 2547998208 2549507328 2567144664 2594876165 2607892992 2627354880 2669015484 2688933510 2729998080 2750512140 2758722624 2788523640 2832785920 2852382960 2866497984 2868195744 2888037747 2933879616 2965572760 2974425216 3042541824 3065247360 3113851398 3137089095 3152825856 3184997760 3186884160 3208930830 3226720212 3259866240 3275997696 3300614568 3336269355 3346228368 3422859552 3448403280 3558687312 3583122480 3585244680 3667349520 3678296832 3718031520 3764506914 3803177280 3821997312 3824260992 3850716996 3911839488 3941032320 3965900288 4003523226 4033400265 4086996480 4094997120 4125768210 4151801864 4182785460 4246663680 4249178880 4278574440 4302293616 4346488320 4400819424 4448359140 4461637824 4563812736 4597871040 4670777097 4744916416 4777496640 4780326240 4813396245 4889799360 4957375360 5019342552 5070903040 5099014656 5134289328 5189752330 5254709760 5338030968 5377867020 5459996160 5501024280 5517445248 5577047280 5646760371 5704765920 5732995968 5736391488 5776075494 5867759232 5931145520 5948850432 6005284839 6085083648 6130494720 6227702796 6274178190 6369995520 6373768320 6417861660 6453440424 6519732480 6601229136 6672538710 6692456736 6845719104 6896806560 7117374624 7166244960 7170489360 7334699040 7356593664 7436063040 7529013828 7606354560 7643994624 7648521984 7701433992 7784628495 7823678976 7882064640 8007046452 8066800530 8189994240 8251536420 8303603728 8365570920 8498357760 8557148880 8604587232 8801638848 8896718280 8923275648 9127625472 9195742080 9341554194 9411267285 9489832832 9554993280 9560652480 9626792490 9779598720 9914750720 10008808065 10038685104 10141806080 10268578656 10379504660 10676061936 10755734040 11002048560 11034890496 11154094560 11293520742 11409531840 11465991936 11472782976 11552150988 11735518464 11862291040 11897700864 12010569678 12260989440 12455405592 12548356380 12739991040 12747536640 12835723320 12906880848 13039464960 13202458272 13345077420 13384913472 13691438208 13793613120 14012331291 14234749248 14332489920 14340978720 14440188735 14669398080 14872126080 15058027656 15212709120 15297043968 15402867984 15569256990 15764129280 16014092904 16133601060 16379988480 16503072840 16607207456 16731141840 17114297760 17209174464 17603277696 17793436560 17846551296 18015854517 18255250944 18391484160 18683108388 18822534570 18979665664 19109986560 19121304960 19253584980 19559197440 19829501440 20017616130 20077370208 20537157312 20759009320 21352123872 21511468080 22004097120 22069780992 22308189120 22587041484 22819063680 22931983872 22945565952 23104301976 23353885485 23471036928 23724582080 24021139356 24910811184 25096712760 25495073280 25671446640 25813761696 26404916544 26690154840 26769826944 27382876416 27587226240 28024662582 28233801855 28469498496 28664979840 28681957440 28880377470 29338796160 29744252160 30026424195 30116055312 30425418240 30805735968 31138513980 32028185808 32267202120 33006145680 33214414912 33462283680 34228595520 34418348928 35206555392 35586873120 35693102592 36031709034 36782968320 37366216776 37645069140 37959331328 38219973120 38242609920 38507169960 39118394880 40035232260 40154740416 41074314624 41518018640 42036993873 42704247744 43022936160 44008194240 44616378240 45174082968 45638127360 45891131904 46208603952 46707770970 47449164160 48042278712 49821622368 50193425520 51342893280 51627523392 52809833088 53380309680 53539653888 54047563551 54765752832 55174452480 56049325164 56467603710 56938996992 57329959680 57363914880 57760754940 58677592320 59488504320 60052848390 60232110624 61611471936 62277027960 64056371616 64534404240 66012291360 66428829824 66924567360 68457191040 68836697856 70061656455 70413110784 71173746240 72063418068 74732433552 75290138280 76485219840 77014339920 80070464520 80309480832 82148629248 83036037280 84073987746 85408495488 86045872320 88016388480 89232756480 90079272585 90348165936 91276254720 92417207904 93415541940 94898328320 96084557424 99643244736 100386851040 102685786560 103255046784 105619666176 106760619360 107079307776 108095127102 110348904960 112098650328 112935207420 113877993984 114659919360 114727829760 115521509880 117355184640 120105696780 120464221248 123222943872 124554055920 126110981619 128112743232 129068808480 132024582720 132857659648 133849134720 136914382080 137673395712 140123312910 142347492480 144126836136 149464867104 150580276560 154028679840 160140929040 160618961664 164297258496 166072074560 168147975492 170816990976 172091744640 176032776960 178465512960 180158545170 180696331872 184834415808 186831083880 189796656640 192169114848 199286489472 200773702080 205371573120 206510093568 210184969365 211239332352 213521238720 216190254204 224197300656 225870414840 229455659520 231043019760 240211393560 240928442496 246445887744 249108111840 252221963238 256225486464 258137616960 264049165440 265715319296 267698269440 270237817755 273828764160 280246625820 284694984960 288253672272 298929734208 301160553120 308057359680 320281858080 321237923328 332144149120 336295950984 341633981952 344183489280 352065553920 360317090340 361392663744 369668831616 373662167760 378332944857 384338229696 398572978944 401547404160 410743146240 413020187136 420369938730 427042477440 432380508408 448394601312 451740829680 462086039520 480422787120 481856884992 492891775488 498216223680 504443926476 512450972928 516275233920 528098330880 535396538880 540475635510 560493251640 569389969920 576507344544 597859468416 602321106240 616114719360 630554908095 640563716160 664288298240 672591901968 688366978560 720634180680 722785327488 739337663232 747324335520 756665889714 768676459392 797145957888 803094808320 821486292480 840739877460 854084954880 864761016816 896789202624 903481659360 924172079040 960845574240 963713769984 996432447360 1008887852952 1024901945856 1032550467840 1056196661760 1080951271020 1120986503280 1153014689088 1195718936832 1204642212480 1232229438720 1261109816190 1281127432320 1328576596480 1345183803936 1441268361360 1445570654976 1478675326464 1494648671040 1513331779428 1537352918784 1606189616640 1681479754920 1708169909760 1729522033632 1793578405248 1806963318720 1848344158080 1891664724285 1921691148480 1992864894720 2017775705904 2065100935680 2161902542040 2241973006560 2306029378176 2391437873664 2409284424960 2464458877440 2522219632380 2562254864640 2690367607872 2882536722720 2891141309952 2989297342080 3026663558856 3074705837568 3362959509840 3459044067264 3587156810496 3613926637440 3696688316160 3783329448570 3843382296960 3985729789440 4035551411808 4323805084080 4483946013120 4612058756352 4818568849920 5044439264760 5124509729280 5380735215744 5765073445440 5978594684160 6053327117712 6725919019680 6918088134528 7174313620992 7227853274880 7393376632320 7566658897140 7686764593920 8071102823616 8647610168160 8967892026240 9224117512704 10088878529520 10761470431488 11530146890880 11957189368320 12106654235424 13451838039360 13836176269056 14455706549760 15133317794280 15373529187840 16142205647232 17295220336320 17935784052480 20177757059040 21522940862976 23060293781760 24213308470848 26903676078720 27672352538112 30266635588560 32284411294464 34590440672640 35871568104960 40355514118080 46120587563520 48426616941696 53807352157440 60533271177120 64568822588928 69180881345280 80711028236160 96853233883392 107614704314880 121066542354240 138361762690560 161422056472320 193706467766784 242133084708480 322844112944640 484266169416960 968532338833920
- Sum of all divisors σ(n): 4069806697414656
- Sum of proper divisors (its aliquot sum) s(n): 3101274358580736
- 968532338833920 is an abundant number, because the sum of its proper divisors (3101274358580736) is greater than itself. Its abundance is 2132742019746816
Bases of 968532338833920
- Binary: 110111000011100000000000100000001001111010000000002
- Hexadecimal: 0x370E002027A00
- Base-36: 9JBDM3S000
Squares and roots of 968532338833920
- 968532338833920 squared (9685323388339202) is 938054891367103219305342566400
- 968532338833920 cubed (9685323388339203) is 908536497890379232289984888369423516172288000
-
The
square root of 968532338833920 is 31121252.2054290095 -
The
cube root of 968532338833920 is 98939.8791122827
Scales and comparisons
How big is 968532338833920?- 968,532,338,833,920 seconds is equal to 30,796,332 years, 26 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 968,532,338,833,920 would take you about seventy-six million, nine hundred ninety thousand, eight hundred 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 968532338833920 cubic inches would be around 8245 feet tall.
Recreational maths with 968532338833920
- 968532338833920 backwards is 029338833235869
- 968532338833920 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 968532338833920's digits is 72
- More coming soon!
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The information we have on file for 968532338833920 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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