712284768000
712,284,768,000 is an even composite number composed of seven prime numbers multiplied together.
712284768000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 712284768000:
28 × 32 × 53 × 13 × 17 × 192 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 17 × 19 × 19 × 31)See below for interesting mathematical facts about the number 712284768000 from the Numbermatics database.
Names of 712284768000
- Cardinal: 712284768000 can be written as Seven hundred twelve billion, two hundred eighty-four million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 7.12284768 × 1011
Factors of 712284768000
Divisors of 712284768000
- Number of divisors d(n): 2592
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 19 20 24 25 26 30 31 32 34 36 38 39 40 45 48 50 51 52 57 60 62 64 65 68 72 75 76 78 80 85 90 93 95 96 100 102 104 114 117 120 124 125 128 130 136 144 150 152 153 155 156 160 170 171 180 186 190 192 195 200 204 208 221 225 228 234 240 247 248 250 255 256 260 272 279 285 288 300 304 306 310 312 320 323 325 340 342 360 361 372 375 380 384 390 400 403 408 416 425 442 450 456 465 468 475 480 494 496 500 510 520 527 544 558 570 576 585 589 600 608 612 620 624 640 646 650 663 680 684 720 722 741 744 750 760 765 768 775 780 800 806 816 832 850 855 884 900 912 930 936 950 960 969 975 988 992 1000 1020 1040 1054 1083 1088 1105 1116 1125 1140 1152 1170 1178 1200 1209 1216 1224 1235 1240 1248 1275 1280 1292 1300 1326 1360 1368 1395 1425 1440 1444 1482 1488 1500 1520 1530 1550 1560 1581 1600 1612 1615 1625 1632 1664 1700 1710 1767 1768 1800 1805 1824 1860 1872 1900 1920 1938 1950 1976 1984 1989 2000 2015 2040 2080 2108 2125 2166 2176 2210 2223 2232 2250 2280 2304 2325 2340 2356 2375 2400 2418 2432 2448 2470 2480 2496 2550 2584 2600 2635 2652 2720 2736 2790 2850 2880 2888 2907 2925 2945 2964 2976 3000 3040 3060 3100 3120 3162 3200 3224 3230 3249 3250 3264 3315 3328 3400 3420 3534 3536 3600 3610 3627 3648 3705 3720 3744 3800 3825 3840 3875 3876 3900 3952 3968 3978 4000 4030 4080 4160 4199 4216 4250 4275 4332 4352 4420 4446 4464 4500 4560 4650 4680 4693 4712 4743 4750 4800 4836 4845 4864 4875 4896 4940 4960 4992 5100 5168 5200 5270 5301 5304 5415 5440 5472 5525 5580 5700 5760 5776 5814 5850 5890 5928 5952 6000 6045 6080 6120 6137 6175 6200 6240 6324 6375 6400 6448 6460 6498 6500 6528 6630 6800 6840 6851 6975 7068 7072 7125 7200 7220 7254 7296 7410 7440 7488 7600 7650 7657 7750 7752 7800 7904 7905 7936 7956 8000 8060 8075 8160 8320 8398 8432 8500 8550 8664 8835 8840 8892 8928 9000 9025 9120 9300 9360 9386 9424 9486 9500 9600 9672 9690 9750 9792 9880 9920 9945 9984 10013 10075 10200 10336 10400 10540 10602 10608 10830 10880 10944 11050 11115 11160 11191 11400 11520 11552 11625 11628 11700 11780 11856 11904 12000 12090 12160 12240 12274 12350 12400 12480 12597 12648 12750 12896 12920 12996 13000 13056 13175 13260 13600 13680 13702 13950 14079 14136 14144 14250 14400 14440 14508 14535 14592 14625 14725 14820 14880 14976 15200 15300 15314 15500 15504 15600 15808 15810 15912 16000 16120 16150 16245 16320 16575 16640 16796 16864 17000 17100 17328 17670 17680 17784 17856 18000 18050 18135 18240 18411 18525 18600 18720 18772 18848 18972 19000 19125 19200 19344 19380 19500 19584 19760 19840 19890 20026 20150 20400 20553 20672 20800 20995 21080 21204 21216 21375 21660 21760 21888 22100 22230 22320 22382 22800 22971 23104 23250 23256 23400 23465 23560 23712 23715 23808 24000 24180 24225 24320 24480 24548 24700 24800 24960 25194 25296 25500 25792 25840 25992 26000 26350 26505 26520 27075 27200 27360 27404 27625 27900 28158 28272 28288 28500 28800 28880 29016 29070 29250 29450 29640 29760 29952 30039 30225 30400 30600 30628 30685 30875 31000 31008 31200 31616 31620 31824 32000 32240 32300 32490 32640 33150 33573 33592 33728 34000 34200 34255 34656 34875 35340 35360 35568 35712 36000 36100 36270 36480 36822 37050 37200 37440 37544 37696 37791 37944 38000 38250 38285 38688 38760 39000 39168 39520 39525 39680 39780 40052 40300 40375 40800 41106 41344 41600 41990 42160 42237 42408 42432 42750 43320 43776 44175 44200 44460 44640 44764 45125 45600 45942 46208 46500 46512 46800 46930 47120 47424 47430 48000 48360 48450 48960 49096 49400 49600 49725 49920 50065 50375 50388 50592 51000 51584 51680 51984 52000 52700 53010 53040 54150 54400 54720 54808 55233 55250 55575 55800 55955 56316 56544 56576 57000 57600 57760 58032 58140 58500 58900 59280 59520 60078 60450 60800 61200 61256 61370 61659 61750 62000 62016 62400 62985 63232 63240 63648 64480 64600 64980 65280 65875 66300 67146 67184 67456 68000 68400 68510 68913 69312 69750 70395 70680 70720 71136 71424 72000 72200 72540 72675 72960 73625 73644 74100 74400 74880 75088 75392 75582 75888 76000 76500 76570 77376 77520 78000 79040 79050 79560 79781 80104 80600 80750 81225 81600 82212 82688 82875 83200 83980 84320 84474 84816 84864 85500 86640 88350 88400 88920 89280 89528 90117 90250 90675 91200 91884 92055 92416 92625 93000 93024 93600 93860 94240 94848 94860 96000 96720 96900 97920 98192 98800 99200 99450 100130 100719 100750 100776 101184 102000 102765 103168 103360 103968 104000 104975 105400 106020 106080 108300 108800 109440 109616 110466 110500 111150 111600 111910 112632 113088 114000 114855 115520 116064 116280 117000 117325 117800 118560 118575 119040 120156 120900 121125 121600 122400 122512 122740 123318 123500 124000 124032 124800 125970 126480 127296 128960 129200 129960 130169 131750 132525 132600 134292 134368 134912 135375 136000 136800 137020 137826 138624 139500 140790 141360 141440 142272 144000 144400 145080 145350 145483 147250 147288 148200 148800 149760 150176 150195 150784 151125 151164 151776 152000 153000 153140 153425 154752 155040 156000 158080 158100 159120 159562 160208 161200 161500 162450 163200 164424 165750 167865 167960 168640 168948 169632 169728 171000 171275 173280 176700 176800 177840 178560 179056 180234 180500 181350 182400 183768 184110 185250 186000 186048 187200 187720 188480 188955 189696 189720 190247 191425 193440 193800 195840 196384 197600 197625 198400 198900 200260 201438 201500 201552 202368 204000 205530 206720 207936 208000 209950 210800 211185 212040 212160 216600 218880 219232 220875 220932 221000 222300 223200 223820 225264 226176 228000 229710 231040 232128 232560 234000 234650 235600 237120 237150 239343 240312 241800 242250 244800 245024 245480 246636 247000 248000 248064 248625 249600 250325 251940 252960 254592 257920 258400 259920 260338 263500 265050 265200 268584 268736 270750 272000 273600 274040 275652 276165 277248 277875 279000 279775 281580 282720 282880 284544 288000 288800 290160 290700 290966 294500 294576 296400 297600 300352 300390 302250 302328 303552 304000 306000 306280 306850 308295 309504 310080 312000 314925 316160 316200 318240 319124 320416 322400 323000 324900 326400 328848 331500 335730 335920 337280 337896 339264 342000 342550 344565 346560 351975 353400 353600 355680 357120 358112 360468 361000 362700 363375 364800 367536 368220 370500 372000 372096 374400 375440 376960 377910 379440 380494 382850 386880 387600 390507 392768 395200 395250 397800 398905 400520 402876 403000 403104 404736 406125 408000 411060 413440 415872 416000 419900 421600 422370 424080 424320 433200 436449 438464 441750 441864 442000 444600 446400 447640 450528 450585 452352 453375 456000 459420 460275 462080 464256 465120 468000 469300 471200 474240 474300 478686 480624 483600 484500 489600 490048 490960 493272 494000 496000 497250 500650 503595 503880 505920 509184 513825 515840 516800 519840 520676 524875 527000 530100 530400 537168 537472 541500 544000 547200 548080 551304 552330 555750 558000 559550 563160 565440 569088 570741 574275 577600 580320 581400 581932 586625 589000 589152 592800 592875 595200 600704 600780 604500 604656 607104 608000 612000 612560 613700 616590 620160 624000 629850 632400 636480 638248 640832 644800 646000 649800 650845 657696 662625 663000 671460 671840 674560 675792 678528 684000 685100 689130 693120 703950 706800 707200 711360 716224 718029 720936 722000 725400 726750 727415 735072 736440 741000 744000 744192 748800 750880 750975 753920 755820 758880 760988 765700 767125 773760 775200 781014 785536 790400 790500 795600 797810 801040 805752 806000 806208 812250 816000 822120 831744 839325 839800 843200 844740 848160 848640 856375 866400 872898 876928 883500 883728 884000 889200 892800 895280 901056 901170 906750 912000 918840 920550 928512 930240 936000 938600 942400 944775 948480 948600 951235 957125 957372 961248 967200 969000 979200 980096 981920 986544 988000 992000 994500 1001300 1007190 1007760 1011840 1027650 1033600 1039680 1041352 1049750 1054000 1055925 1060200 1060800 1074336 1074944 1083000 1094400 1096160 1102608 1104660 1111500 1116000 1119100 1126320 1130880 1141482 1148550 1155200 1160640 1162800 1163864 1171521 1173250 1178000 1178304 1185600 1185750 1196715 1201408 1201560 1209000 1209312 1214208 1224000 1225120 1227400 1233180 1240320 1248000 1251625 1259700 1264800 1272960 1276496 1281664 1289600 1292000 1299600 1301690 1309347 1315392 1325250 1326000 1342920 1343680 1351584 1357056 1368000 1370200 1378260 1380825 1386240 1398875 1407900 1413600 1414400 1422720 1432448 1436058 1441872 1444000 1450800 1453500 1454830 1470144 1472880 1482000 1488000 1501760 1501950 1511640 1517760 1521976 1531400 1534250 1541475 1547520 1550400 1562028 1571072 1574625 1580800 1581000 1591200 1595620 1602080 1611504 1612000 1612416 1624500 1632000 1644240 1678650 1679600 1686400 1689480 1696320 1712223 1712750 1722825 1732800 1745796 1753856 1759875 1767000 1767456 1768000 1778400 1785600 1790560 1802112 1802340 1813500 1824000 1837680 1841100 1860480 1872000 1877200 1884800 1889550 1897200 1902470 1914250 1914744 1922496 1934400 1938000 1952535 1960192 1963840 1973088 1976000 1989000 1994525 2002600 2014380 2015520 2023680 2055300 2067200 2079360 2082704 2099500 2108000 2111850 2120400 2121600 2148672 2166000 2182245 2192320 2205216 2209320 2223000 2232000 2238200 2252640 2252925 2261760 2282964 2297100 2301375 2310400 2321280 2325600 2327728 2343042 2346500 2356000 2356608 2371200 2371500 2393430 2403120 2418000 2418624 2448000 2450240 2454800 2466360 2473211 2503250 2517975 2519400 2529600 2545920 2552992 2563328 2569125 2579200 2584000 2599200 2603380 2618694 2630784 2650500 2652000 2685840 2687360 2703168 2736000 2740400 2756520 2761650 2797750 2815800 2827200 2845440 2853705 2864896 2871375 2872116 2883744 2888000 2901600 2907000 2909660 2940288 2945760 2964000 2976000 3003520 3003900 3023280 3035520 3043952 3062800 3068500 3082950 3100800 3124056 3149250 3162000 3182400 3191240 3204160 3223008 3224000 3224832 3249000 3254225 3288480 3357300 3359200 3372800 3378960 3392640 3424446 3425500 3445650 3465600 3491592 3519750 3534000 3534912 3536000 3556800 3581120 3590145 3604224 3604680 3627000 3637075 3675360 3682200 3720960 3744000 3754400 3754875 3769600 3779100 3794400 3804940 3828500 3829488 3844992 3868800 3876000 3905070 3927680 3946176 3952000 3978000 3989050 4005200 4028760 4031040 4110600 4158720 4165408 4196625 4199000 4216000 4223700 4240800 4243200 4297344 4332000 4364490 4384640 4410432 4418640 4446000 4464000 4476400 4505280 4505850 4565928 4594200 4602750 4642560 4651200 4655456 4686084 4693000 4712000 4713216 4723875 4742400 4743000 4756175 4786860 4806240 4836000 4837248 4896000 4900480 4909600 4932720 4946422 5006500 5035950 5038800 5059200 5105984 5138250 5168000 5198400 5206760 5237388 5261568 5279625 5301000 5304000 5371680 5374720 5406336 5472000 5480800 5513040 5523300 5595500 5631600 5654400 5707410 5742750 5744232 5767488 5776000 5803200 5814000 5819320 5857605 5880576 5891520 5928000 5983575 6007040 6007800 6046560 6071040 6087904 6125600 6137000 6165900 6201600 6248112 6298500 6324000 6364800 6382480 6408320 6446016 6448000 6498000 6508450 6546735 6576960 6714600 6718400 6757920 6785280 6848892 6851000 6891300 6904125 6931200 6983184 7039500 7068000 7069824 7072000 7113600 7162240 7180290 7209360 7254000 7274150 7350720 7364400 7419633 7508800 7509750 7558200 7588800 7609880 7657000 7658976 7689984 7707375 7737600 7752000 7810140 7855360 7892352 7904000 7956000 7978100 8010400 8057520 8062080 8221200 8330816 8393250 8398000 8432000 8447400 8481600 8561115 8594688 8614125 8664000 8728980 8769280 8820864 8837280 8892000 8928000 8952800 9010560 9011700 9131856 9188400 9205500 9302400 9310912 9372168 9386000 9424000 9447750 9486000 9512350 9573720 9612480 9672000 9674496 9762675 9800960 9819200 9865440 9892844 9972625 10013000 10071900 10077600 10118400 10211968 10276500 10336000 10396800 10413520 10474776 10559250 10602000 10608000 10743360 10812672 10911225 10961600 11026080 11046600 11191000 11263200 11264625 11308800 11414820 11485500 11488464 11534976 11552000 11606400 11628000 11638640 11715210 11783040 11856000 11967150 12015600 12093120 12175808 12251200 12274000 12331800 12366055 12496224 12589875 12597000 12648000 12729600 12764960 12816640 12892032 12896000 12996000 13016900 13093470 13153920 13429200 13436800 13515840 13697784 13702000 13782600 13808250 13966368 14079000 14136000 14139648 14227200 14268525 14324480 14360580 14418720 14508000 14548300 14701440 14728800 14839266 15017600 15019500 15116400 15177600 15219760 15314000 15317952 15414750 15504000 15620280 15784704 15912000 15956200 16020800 16115040 16124160 16271125 16442400 16661632 16786500 16796000 16864000 16894800 16963200 17122230 17228250 17328000 17457960 17641728 17674560 17784000 17905600 17950725 18021120 18023400 18185375 18263712 18376800 18411000 18604800 18621824 18744336 18772000 18848000 18895500 18972000 19024700 19147440 19224960 19344000 19525350 19638400 19730880 19785688 19945250 20026000 20143800 20155200 20423936 20553000 20793600 20827040 20949552 21118500 21204000 21216000 21486720 21822450 21923200 22052160 22093200 22258899 22382000 22526400 22529250 22829640 22971000 22976928 23069952 23212800 23256000 23277280 23430420 23566080 23712000 23780875 23934300 24031200 24186240 24351616 24502400 24548000 24663600 24732110 24992448 25179750 25194000 25296000 25529920 25784064 25992000 26033800 26186940 26307840 26858400 26873600 27031680 27395568 27404000 27565200 27616500 27932736 28158000 28272000 28537050 28721160 28837440 29016000 29096600 29288025 29402880 29457600 29678532 29917875 30035200 30039000 30232800 30355200 30439520 30628000 30635904 30829500 31008000 31240560 31824000 31912400 32041600 32230080 32542250 32733675 32884800 33323264 33573000 33592000 33789600 33926400 34244460 34456500 34656000 34915920 35349120 35568000 35811200 35901450 36046800 36370750 36527424 36753600 36822000 37098165 37243648 37488672 37544000 37791000 37944000 38049400 38294880 38449920 38688000 39050700 39276800 39461760 39571376 39890500 40052000 40287600 40310400 41106000 41654080 41899104 42237000 42408000 42805575 42973440 43644900 43846400 44104320 44186400 44517798 44764000 45052800 45058500 45659280 45942000 45953856 46512000 46554560 46860840 47561750 47868600 48062400 48372480 48703232 48813375 49004800 49096000 49327200 49464220 49984896 50359500 50388000 50592000 51059840 51984000 52067600 52373880 53716800 54063360 54556125 54791136 54808000 55130400 55233000 55865472 56316000 56544000 57074100 57442320 57674880 58032000 58193200 58576050 58915200 59357064 59835750 60078000 60465600 60879040 61256000 61271808 61659000 61830275 62481120 63648000 63824800 64083200 64460160 65084500 65467350 65769600 67146000 67184000 67579200 68488920 68913000 69831840 70698240 71136000 71342625 71622400 71802900 72093600 72741500 73054848 73507200 73644000 74196330 74977344 75088000 75582000 75888000 76098800 76589760 78101400 78923520 79142752 79781000 80104000 80575200 80620800 82212000 83308160 83798208 84474000 84816000 85611150 87289800 88208640 88372800 89035596 89528000 89753625 90105600 90117000 91318560 91884000 91907712 93024000 93109120 93721680 95123500 95737200 96124800 97626750 98192000 98654400 98928440 99969792 100719000 100776000 102119680 103968000 104135200 104747760 107433600 109112250 109582272 109616000 110260800 110466000 111294495 111730944 112632000 114148200 114884640 115349760 116064000 116386400 117152100 117830400 118714128 119671500 120156000 120931200 121758080 122512000 123318000 123660550 124962240 127649600 128920320 130169000 130934700 131539200 134292000 134368000 135158400 136977840 137826000 139663680 142685250 143605800 144187200 145483000 146109696 146440125 147014400 147288000 148392660 149954688 150176000 151164000 151776000 152197600 153179520 156202800 158285504 159562000 160208000 161150400 163668375 164424000 166616320 167596416 168948000 169632000 171222300 174579600 176745600 178071192 179056000 179507250 180234000 182637120 183768000 183815424 185490825 186218240 187443360 190247000 191474400 192249600 195253500 196384000 197308800 197856880 201438000 201552000 208270400 209495520 214027875 214867200 218224500 219164544 219232000 220521600 220932000 222588990 225264000 228296400 229769280 232772800 234304200 237428256 239343000 240312000 241862400 243516160 245024000 246636000 247321100 249924480 255299200 260338000 261869400 268584000 270316800 273955680 275652000 279327360 285370500 287211600 288374400 290966000 292880250 294576000 296785320 299909376 302328000 304395200 306359040 309151375 312405600 316571008 319124000 320416000 322300800 327336750 328848000 335192832 337896000 342444600 349159200 353491200 356142384 358112000 359014500 360468000 365274240 367536000 370981650 374886720 380494000 382948800 390507000 394617600 395713760 402876000 403104000 416540800 418991040 428055750 436449000 438329088 441043200 441864000 445177980 450528000 456592800 459538560 465545600 468608400 474856512 478686000 480624000 493272000 494642200 499848960 510598400 520676000 523738800 537168000 547911360 551304000 556472475 558654720 570741000 574423200 576748800 581932000 585760500 589152000 593570640 604656000 608790400 618302750 624811200 633142016 638248000 644601600 654673500 657696000 675792000 684889200 698318400 712284768 718029000 720936000 730548480 735072000 741963300 749773440 760988000 765897600 781014000 791427520 805752000 833081600 837982080 856111500 872898000 883728000 890355960 913185600 919077120 927454125 931091200 937216800 949713024 957372000 961248000 986544000 989284400 1041352000 1047477600 1074336000 1095822720 1102608000 1112944950 1141482000 1148846400 1163864000 1171521000 1187141280 1209312000 1217580800 1236605500 1249622400 1276496000 1309347000 1351584000 1369778400 1396636800 1424569536 1436058000 1441872000 1483926600 1499546880 1521976000 1531795200 1562028000 1582855040 1611504000 1675964160 1712223000 1745796000 1767456000 1780711920 1826371200 1854908250 1874433600 1899426048 1914744000 1973088000 1978568800 2082704000 2094955200 2191645440 2205216000 2225889900 2282964000 2297692800 2327728000 2343042000 2374282560 2473211000 2499244800 2552992000 2618694000 2739556800 2782362375 2793273600 2849139072 2872116000 2883744000 2967853200 3043952000 3124056000 3165710080 3223008000 3424446000 3491592000 3561423840 3652742400 3709816500 3748867200 3829488000 3957137600 4165408000 4189910400 4451779800 4565928000 4595385600 4655456000 4686084000 4748565120 4946422000 5237388000 5479113600 5564724750 5698278144 5744232000 5935706400 6087904000 6248112000 6848892000 6983184000 7122847680 7419633000 7497734400 7658976000 7914275200 8379820800 8903559600 9131856000 9372168000 9497130240 9892844000 10474776000 10958227200 11129449500 11488464000 11871412800 12496224000 13697784000 13966368000 14245695360 14839266000 15828550400 17807119200 18263712000 18744336000 19785688000 20949552000 22258899000 22976928000 23742825600 27395568000 28491390720 29678532000 35614238400 37488672000 39571376000 41899104000 44517798000 47485651200 54791136000 59357064000 71228476800 79142752000 89035596000 118714128000 142456953600 178071192000 237428256000 356142384000 712284768000
- Sum of all divisors σ(n): 3183936118272
- Sum of proper divisors (its aliquot sum) s(n): 2471651350272
- 712284768000 is an abundant number, because the sum of its proper divisors (2471651350272) is greater than itself. Its abundance is 1759366582272
Bases of 712284768000
- Binary: 10100101110101110111101100000111000000002
- Hexadecimal: 0xA5D77B0700
- Base-36: 937VYKG0
Squares and roots of 712284768000
- 712284768000 squared (7122847680002) is 507349590724813824000000
- 712284768000 cubed (7122847680003) is 361377385524318966471032832000000000
-
The
square root of 712284768000 is 843969.6487433657 -
The
cube root of 712284768000 is 8930.6804974105
Scales and comparisons
How big is 712284768000?- 712,284,768,000 seconds is equal to 22,648 years, 23 weeks, 3 days, 16 hours.
-
To count from 1 to 712,284,768,000 would take you about forty-five thousand, two hundred ninety-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 712284768000 cubic inches would be around 744.2 feet tall.
Recreational maths with 712284768000
- 712284768000 backwards is 000867482217
- 712284768000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 712284768000's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 712284768000 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/712284768000/
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Numbermatics. 2024. "Number 712284768000 - Facts about the integer". https://numbermatics.com/n/712284768000/
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