41167526400
41,167,526,400 is an even composite number composed of seven prime numbers multiplied together.
41167526400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 41167526400:
29 × 33 × 52 × 72 × 11 × 13 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 11 × 13 × 17)See below for interesting mathematical facts about the number 41167526400 from the Numbermatics database.
Names of 41167526400
- Cardinal: 41167526400 can be written as Forty-one billion, one hundred sixty-seven million, five hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 4.11675264 × 1010
Factors of 41167526400
Divisors of 41167526400
- Number of divisors d(n): 2880
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 20 21 22 24 25 26 27 28 30 32 33 34 35 36 39 40 42 44 45 48 49 50 51 52 54 55 56 60 63 64 65 66 68 70 72 75 77 78 80 84 85 88 90 91 96 98 99 100 102 104 105 108 110 112 117 119 120 126 128 130 132 135 136 140 143 144 147 150 153 154 156 160 165 168 170 175 176 180 182 187 189 192 195 196 198 200 204 208 210 216 220 221 224 225 231 234 238 240 245 252 255 256 260 264 270 272 273 275 280 286 288 294 297 300 306 308 312 315 320 325 330 336 340 350 351 352 357 360 364 374 378 384 385 390 392 396 400 408 416 420 425 429 432 440 441 442 448 450 455 459 462 468 476 480 490 495 504 510 512 520 525 528 539 540 544 546 550 560 561 572 576 585 588 594 595 600 612 616 624 630 637 640 650 660 663 672 675 680 693 700 702 704 714 715 720 728 735 748 756 765 768 770 780 784 792 800 816 819 825 832 833 840 850 858 864 880 882 884 896 900 910 918 924 935 936 945 952 960 975 980 990 1001 1008 1020 1040 1050 1056 1071 1078 1080 1088 1092 1100 1105 1120 1122 1144 1152 1155 1170 1176 1188 1190 1200 1224 1225 1232 1248 1260 1274 1275 1280 1287 1300 1309 1320 1323 1326 1344 1350 1360 1365 1386 1400 1404 1408 1428 1430 1440 1456 1470 1485 1496 1512 1530 1536 1540 1547 1560 1568 1575 1584 1600 1617 1632 1638 1650 1664 1666 1680 1683 1700 1716 1728 1755 1760 1764 1768 1785 1792 1800 1820 1836 1848 1870 1872 1890 1904 1911 1920 1925 1950 1960 1980 1989 2002 2016 2040 2079 2080 2100 2112 2142 2145 2156 2160 2176 2184 2200 2205 2210 2240 2244 2275 2288 2295 2304 2310 2340 2352 2376 2380 2400 2431 2448 2450 2457 2464 2475 2496 2499 2520 2548 2550 2560 2574 2600 2618 2640 2646 2652 2688 2695 2700 2720 2730 2772 2800 2805 2808 2816 2856 2860 2880 2912 2925 2940 2970 2975 2992 3003 3024 3060 3080 3094 3120 3136 3150 3168 3185 3200 3213 3234 3264 3276 3300 3315 3328 3332 3360 3366 3400 3432 3456 3465 3510 3520 3528 3536 3570 3575 3584 3600 3640 3672 3675 3696 3740 3744 3780 3808 3822 3825 3840 3850 3861 3900 3920 3927 3960 3978 4004 4032 4080 4095 4158 4160 4165 4200 4224 4284 4290 4312 4320 4352 4368 4400 4410 4420 4480 4488 4550 4576 4590 4608 4620 4641 4675 4680 4704 4725 4752 4760 4800 4851 4862 4896 4900 4914 4928 4950 4992 4998 5005 5040 5049 5096 5100 5148 5200 5236 5280 5292 5304 5355 5376 5390 5400 5440 5460 5525 5544 5600 5610 5616 5632 5712 5720 5733 5760 5775 5824 5850 5880 5940 5950 5967 5984 6006 6048 6120 6160 6188 6240 6272 6300 6336 6370 6400 6426 6435 6468 6528 6545 6552 6600 6615 6630 6656 6664 6720 6732 6800 6825 6864 6912 6930 7007 7020 7040 7056 7072 7140 7150 7200 7280 7293 7344 7350 7392 7425 7480 7488 7497 7560 7616 7644 7650 7680 7700 7722 7735 7800 7840 7854 7920 7956 8008 8064 8085 8160 8190 8316 8320 8330 8400 8415 8448 8568 8580 8624 8640 8704 8736 8775 8800 8820 8840 8925 8960 8976 9009 9100 9152 9163 9180 9240 9282 9350 9360 9408 9450 9504 9520 9555 9600 9702 9724 9792 9800 9828 9856 9900 9945 9984 9996 10010 10080 10098 10192 10200 10296 10395 10400 10472 10560 10584 10608 10710 10725 10752 10780 10800 10829 10880 10920 11025 11050 11088 11200 11220 11232 11424 11440 11466 11475 11520 11550 11648 11700 11760 11781 11880 11900 11934 11968 12012 12096 12155 12240 12285 12320 12376 12480 12495 12544 12600 12672 12740 12800 12852 12870 12936 13056 13090 13104 13200 13230 13260 13328 13440 13464 13475 13600 13650 13728 13824 13860 13923 14014 14025 14040 14080 14112 14144 14280 14300 14400 14553 14560 14586 14688 14700 14784 14850 14960 14976 14994 15015 15120 15232 15288 15300 15400 15444 15470 15600 15680 15708 15840 15912 15925 16016 16065 16128 16170 16320 16380 16575 16632 16640 16660 16800 16830 16896 17017 17136 17160 17199 17248 17280 17325 17472 17550 17600 17640 17680 17850 17920 17952 18018 18200 18304 18326 18360 18480 18564 18700 18720 18816 18900 19008 19040 19110 19200 19305 19404 19448 19584 19600 19635 19656 19712 19800 19890 19968 19992 20020 20160 20196 20384 20400 20475 20592 20790 20800 20825 20944 21021 21120 21168 21216 21420 21450 21560 21600 21658 21760 21840 21879 22050 22100 22176 22400 22440 22464 22491 22848 22880 22932 22950 23040 23100 23205 23296 23400 23520 23562 23760 23800 23868 23936 24024 24192 24255 24310 24480 24570 24640 24752 24960 24990 25025 25088 25200 25245 25344 25480 25704 25740 25872 26112 26180 26208 26400 26460 26520 26656 26775 26880 26928 26950 27027 27200 27300 27456 27489 27720 27846 28028 28050 28080 28160 28224 28288 28560 28600 28665 28800 29106 29120 29172 29376 29400 29568 29700 29835 29920 29952 29988 30030 30240 30464 30576 30600 30800 30888 30940 31200 31360 31416 31680 31824 31850 32032 32130 32175 32256 32340 32487 32640 32725 32760 33075 33150 33264 33280 33320 33600 33660 34034 34272 34320 34398 34496 34560 34650 34944 35035 35100 35200 35280 35343 35360 35700 35904 36036 36400 36465 36608 36652 36720 36960 37128 37400 37440 37485 37632 37800 38016 38080 38220 38400 38610 38675 38808 38896 39168 39200 39270 39312 39424 39600 39780 39984 40040 40320 40392 40425 40768 40800 40950 41184 41580 41600 41650 41769 41888 42042 42075 42240 42336 42432 42840 42900 43120 43200 43316 43520 43680 43758 44100 44200 44352 44800 44880 44928 44982 45045 45696 45760 45815 45864 45900 46200 46410 46592 46800 47040 47124 47520 47600 47736 47775 47872 48048 48384 48510 48620 48960 49140 49280 49504 49725 49920 49980 50050 50400 50490 50688 50960 51051 51408 51480 51744 51975 52360 52416 52800 52920 53040 53312 53550 53760 53856 53900 54054 54145 54400 54600 54912 54978 55440 55692 56056 56100 56160 56448 56576 57120 57200 57330 57600 58212 58240 58344 58752 58800 58905 59136 59400 59670 59840 59904 59976 60060 60480 60775 60928 61152 61200 61425 61600 61776 61880 62400 62475 62720 62832 63063 63360 63648 63700 64064 64260 64350 64680 64974 65280 65450 65520 65637 66150 66300 66528 66640 67200 67320 68068 68544 68640 68796 68992 69120 69300 69615 69888 70070 70200 70400 70560 70686 70720 71400 71808 72072 72765 72800 72930 73216 73304 73440 73920 74256 74800 74880 74970 75075 75264 75600 76032 76160 76440 77220 77350 77616 77792 78336 78400 78540 78624 79200 79560 79968 80080 80325 80640 80784 80850 81536 81600 81900 82368 82467 83160 83200 83300 83538 83776 84084 84150 84480 84672 84864 85085 85680 85800 85995 86240 86400 86632 87360 87516 88200 88400 88704 89600 89760 89856 89964 90090 91392 91520 91630 91728 91800 92400 92820 93600 94080 94248 95040 95200 95472 95550 95744 96096 96525 96768 97020 97240 97461 97920 98175 98280 98560 99008 99450 99840 99960 100100 100800 100980 101920 102102 102816 102960 103488 103950 104720 104832 105105 105600 105840 106080 106624 107100 107712 107800 108108 108290 108800 109200 109395 109824 109956 110880 111384 112112 112200 112320 112455 112896 113152 114240 114400 114660 115200 116025 116424 116480 116688 117504 117600 117810 118272 118800 119119 119340 119680 119952 120120 120960 121275 121550 122304 122400 122850 123200 123552 123760 124800 124950 125440 125664 126126 126225 126720 127296 127400 128128 128520 128700 129360 129948 130560 130900 131040 131274 132300 132600 133056 133280 134400 134640 135135 136136 137088 137280 137445 137592 137984 138600 139230 139776 140140 140400 140800 141120 141372 141440 142800 143325 143616 144144 145530 145600 145860 146608 146880 147840 148512 149175 149600 149760 149940 150150 151200 152064 152320 152880 153153 154440 154700 155232 155584 156800 157080 157248 158400 159120 159936 160160 160650 161280 161568 161700 162435 163072 163200 163800 164736 164934 166320 166400 166600 167076 167552 168168 168300 169344 169728 170170 171360 171600 171990 172480 172800 173264 174720 175032 175175 176400 176715 176800 177408 179520 179712 179928 180180 182325 182784 183040 183260 183456 183600 184800 185640 187200 187425 188160 188496 189189 190080 190400 190944 191100 192192 193050 194040 194480 194922 195840 196350 196560 197120 198016 198900 199920 200200 201600 201960 203840 204204 205632 205920 206976 207900 208845 209440 209664 210210 211200 211680 212160 213248 214200 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350064 350350 352800 353430 353600 354816 357357 359040 359856 360360 363825 364650 366080 366520 366912 367200 369600 371280 374400 374850 376320 376992 378378 380160 380800 381888 382200 384384 386100 388080 388960 389844 391680 392700 393120 396032 397800 399840 400400 403200 403920 407680 408408 411264 411840 412335 413952 415800 417690 418880 419328 420420 422400 423360 424320 425425 426496 428400 429975 430848 431200 432432 433160 436800 437580 439824 443520 445536 448448 448800 449280 449820 450450 456960 457600 458150 458640 459459 464100 465696 466752 470400 471240 475200 476476 477360 478720 479808 480480 483840 485100 486200 487305 489216 489600 491400 492800 494208 494802 495040 499200 499800 502656 504504 504900 509184 509600 510510 512512 514080 514800 517440 519792 523600 524160 525096 525525 529200 530400 532224 533120 538560 540540 541450 544544 546975 548352 549120 549780 550368 554400 556920 560560 561600 562275 564480 565488 565760 571200 573300 576576 582120 582400 583440 584766 586432 587520 589050 591360 594048 595595 596700 598400 599760 600600 604800 611520 612612 617760 618800 620928 622336 627200 628320 628992 630630 633600 636480 639744 640640 642600 646272 646800 649740 652800 655200 656370 658944 659736 665280 666400 668304 670208 672672 673200 675675 677376 680680 685440 686400 687225 687960 689920 693056 696150 698880 700128 700700 705600 706860 707200 714714 718080 719712 720720 727650 729300 733040 733824 734400 739200 742560 748800 749700 753984 756756 760320 761600 763776 764400 765765 768768 772200 776160 777920 779688 785400 786240 792064 795600 799680 800800 806400 807840 812175 815360 816816 822528 823680 824670 827904 831600 835380 837760 840840 846720 848640 850850 856800 859950 861696 862400 864864 866320 873600 875160 879648 883575 887040 891072 896896 897600 898560 899640 900900 913920 915200 916300 917280 918918 928200 931392 933504 940800 942480 945945 950400 952952 954720 959616 960960 970200 972400 974610 978432 979200 982800 985600 988416 989604 990080 999600 1005312 1009008 1009800 1018368 1019200 1021020 1028160 1029600 1034880 1039584 1044225 1047200 1048320 1050192 1051050 1058400 1060800 1064448 1066240 1072071 1077120 1081080 1082900 1089088 1093950 1098240 1099560 1100736 1108800 1113840 1121120 1123200 1124550 1128960 1130976 1142400 1146600 1153152 1164240 1164800 1166880 1169532 1172864 1175040 1178100 1188096 1191190 1193400 1196800 1199520 1201200 1209600 1223040 1225224 1235520 1237005 1237600 1241856 1244672 1256640 1257984 1261260 1267200 1272960 1276275 1279488 1281280 1285200 1292544 1293600 1299480 1310400 1312740 1319472 1330560 1332800 1336608 1345344 1346400 1351350 1361360 1370880 1372800 1374450 1375920 1379840 1386112 1392300 1400256 1401400 1411200 1413720 1414400 1429428 1436160 1439424 1441440 1455300 1458600 1461915 1466080 1467648 1468800 1478400 1485120 1497600 1499400 1507968 1513512 1523200 1527552 1528800 1531530 1537536 1544400 1552320 1555840 1559376 1570800 1572480 1576575 1591200 1599360 1601600 1615680 1624350 1630720 1633632 1640925 1645056 1647360 1649340 1663200 1670760 1675520 1681680 1693440 1697280 1701700 1713600 1719900 1724800 1729728 1732640 1747200 1750320 1759296 1767150 1774080 1782144 1786785 1793792 1795200 1799280 1801800 1830400 1832600 1834560 1837836 1856400 1862784 1867008 1881600 1884960 1891890 1900800 1905904 1909440 1919232 1921920 1940400 1944800 1949220 1958400 1965600 1976832 1979208 1980160 1999200 2010624 2018016 2019600 2038400 2042040 2056320 2059200 2061675 2069760 2079168 2088450 2094400 2096640 2100384 2102100 2116800 2121600 2132480 2144142 2154240 2162160 2165800 2178176 2187900 2199120 2201472 2217600 2227680 2242240 2246400 2249100 2261952 2284800 2293200 2297295 2306304 2328480 2333760 2339064 2345728 2356200 2376192 2382380 2386800 2393600 2399040 2402400 2419200 2436525 2446080 2450448 2471040 2474010 2475200 2483712 2513280 2522520 2545920 2552550 2562560 2570400 2585088 2587200 2598960 2620800 2625480 2638944 2661120 2665600 2673216 2690688 2692800 2702700 2722720 2741760 2745600 2748900 2751840 2772224 2784600 2800512 2802800 2822400 2827440 2828800 2858856 2878848 2882880 2910600 2917200 2923830 2932160 2935296 2937600 2956800 2970240 2977975 2998800 3015936 3027024 3055104 3057600 3063060 3088800 3104640 3111680 3118752 3141600 3144960 3153150 3182400 3198720 3203200 3216213 3231360 3248700 3267264 3281850 3294720 3298680 3326400 3341520 3351040 3363360 3386880 3403400 3427200 3439800 3449600 3459456 3465280 3494400 3500640 3518592 3534300 3564288 3573570 3587584 3590400 3598560 3603600 3665200 3669120 3675672 3712800 3725568 3734016 3769920 3783780 3801600 3811808 3818880 3828825 3838464 3843840 3880800 3889600 3898440 3931200 3958416 3960320 3998400 4036032 4039200 4076800 4084080 4112640 4118400 4123350 4139520 4158336 4176900 4188800 4200768 4204200 4233600 4243200 4288284 4308480 4324320 4331600 4356352 4375800 4398240 4402944 4435200 4455360 4484480 4492800 4498200 4523904 4569600 4586400 4594590 4612608 4656960 4667520 4678128 4691456 4712400 4729725 4764760 4773600 4798080 4804800 4873050 4892160 4900896 4942080 4948020 4950400 5026560 5045040 5091840 5105100 5140800 5174400 5197920 5241600 5250960 5277888 5322240 5331200 5346432 5360355 5381376 5385600 5405400 5445440 5491200 5497800 5503680 5544448 5569200 5601024 5605600 5644800 5654880 5717712 5757696 5765760 5821200 5834400 5847660 5864320 5875200 5940480 5955950 5997600 6031872 6054048 6115200 6126120 6177600 6185025 6209280 6223360 6237504 6283200 6289920 6306300 6364800 6397440 6406400 6432426 6462720 6497400 6534528 6563700 6597360 6652800 6683040 6726720 6806800 6854400 6879600 6899200 6918912 6930560 7001280 7037184 7068600 7128576 7147140 7180800 7197120 7207200 7309575 7330400 7338240 7351344 7425600 7451136 7539840 7567560 7623616 7637760 7657650 7687680 7761600 7779200 7796880 7862400 7916832 7996800 8072064 8078400 8153600 8168160 8225280 8236800 8246700 8316672 8353800 8377600 8401536 8408400 8467200 8486400 8576568 8648640 8663200 8712704 8751600 8796480 8805888 8870400 8910720 8933925 8968960 8996400 9047808 9172800 9189180 9313920 9335040 9356256 9424800 9459450 9529520 9547200 9596160 9609600 9746100 9801792 9884160 9896040 9900800 10053120 10090080 10210200 10281600 10348800 10395840 10483200 10501920 10555776 10662400 10692864 10720710 10762752 10771200 10810800 10890880 10995600 11007360 11138400 11202048 11211200 11309760 11435424 11486475 11515392 11531520 11642400 11668800 11695320 11728640 11880960 11911900 11995200 12108096 12230400 12252240 12355200 12370050 12418560 12475008 12566400 12612600 12729600 12812800 12864852 12925440 12994800 13069056 13127400 13194720 13305600 13366080 13453440 13613600 13708800 13759200 13837824 13861120 14002560 14074368 14137200 14294280 14394240 14414400 14619150 14660800 14676480 14702688 14851200 15079680 15135120 15247232 15275520 15315300 15523200 15558400 15593760 15724800 15833664 15993600 16081065 16144128 16156800 16336320 16473600 16493400 16633344 16707600 16755200 16803072 16816800 16934400 17153136 17297280 17326400 17503200 17592960 17821440 17867850 17937920 17992800 18095616 18345600 18378360 18627840 18670080 18712512 18849600 18918900 19059040 19094400 19192320 19219200 19492200 19603584 19792080 19801600 20180160 20420400 20563200 20697600 20791680 21003840 21111552 21385728 21441420 21542400 21621600 21781760 21991200 22014720 22276800 22422400 22619520 22870848 22972950 23063040 23284800 23337600 23390640 23457280 23823800 23990400 24216192 24460800 24504480 24710400 24740100 24950016 25132800 25225200 25459200 25729704 25989600 26138112 26254800 26389440 26611200 26732160 26801775 26906880 27227200 27518400 27722240 28005120 28274400 28588560 28788480 28828800 29238300 29321600 29405376 29702400 30159360 30270240 30494464 30630600 31046400 31116800 31187520 31449600 31667328 31987200 32162130 32288256 32313600 32672640 32986800 33415200 33606144 33633600 34306272 34594560 34652800 35006400 35185920 35642880 35735700 35985600 36691200 36756720 37255680 37425024 37699200 37837800 38118080 38188800 38438400 38984400 39207168 39584160 40360320 40840800 41126400 41583360 42007680 42223104 42882840 43243200 43563520 43982400 44029440 44553600 44844800 45239040 45741696 45945900 46569600 46675200 46781280 47647600 47980800 48432384 49008960 49420800 49480200 49900032 50265600 50450400 51459408 51979200 52509600 52778880 53464320 53603550 53813760 54454400 55036800 56010240 56548800 57177120 57576960 57657600 58476600 58643200 58810752 59404800 60540480 60988928 61261200 62092800 62375040 63334656 64324260 64627200 65345280 65973600 66830400 67267200 68612544 69189120 69305600 70012800 70371840 71471400 71971200 73382400 73513440 74850048 75398400 75675600 76236160 76377600 77968800 78414336 79168320 80405325 80720640 81681600 83166720 84015360 85765680 86486400 87964800 89107200 89689600 90478080 91483392 91891800 93139200 93350400 93562560 95295200 95961600 96864768 98017920 98960400 100900800 102918816 103958400 105019200 105557760 106928640 107207100 108908800 110073600 113097600 114354240 115315200 116953200 117286400 117621504 121080960 122522400 124750080 126669312 128648520 130690560 131947200 133660800 134534400 137225088 138611200 140025600 142942800 143942400 147026880 149700096 150796800 151351200 152472320 155937600 158336640 160810650 161441280 163363200 168030720 171531360 172972800 175929600 178214400 182966784 183783600 186278400 187125120 190590400 196035840 197920800 201801600 205837632 207916800 210038400 211115520 214414200 217817600 220147200 226195200 228708480 233906400 235243008 242161920 245044800 249500160 257297040 263894400 267321600 269068800 274450176 280051200 285885600 287884800 294053760 302702400 304944640 311875200 316673280 321621300 326726400 343062720 345945600 351859200 367567200 374250240 381180800 392071680 395841600 403603200 411675264 415833600 420076800 428828400 452390400 457416960 467812800 484323840 490089600 514594080 527788800 534643200 548900352 571771200 588107520 605404800 623750400 633346560 643242600 653452800 686125440 735134400 748500480 762361600 791683200 807206400 823350528 840153600 857656800 914833920 935625600 980179200 1029188160 1055577600 1143542400 1176215040 1210809600 1247500800 1286485200 1372250880 1470268800 1524723200 1583366400 1646701056 1715313600 1871251200 1960358400 2058376320 2287084800 2421619200 2572970400 2744501760 2940537600 3166732800 3430627200 3742502400 4116752640 4574169600 5145940800 5881075200 6861254400 8233505280 10291881600 13722508800 20583763200 41167526400
- Sum of all divisors σ(n): 218652255360
- Sum of proper divisors (its aliquot sum) s(n): 177484728960
- 41167526400 is an abundant number, because the sum of its proper divisors (177484728960) is greater than itself. Its abundance is 136317202560
Bases of 41167526400
- Binary: 1001100101011100011010011010000000002
- Hexadecimal: 0x995C69A00
- Base-36: IWU2YO0
Squares and roots of 41167526400
- 41167526400 squared (411675264002) is 1694765229894696960000
- 41167526400 cubed (411675264003) is 69769292343492006320799744000000
-
The
square root of 41167526400 is 202897.8225610123 -
The
cube root of 41167526400 is 3452.9073413335
Scales and comparisons
How big is 41167526400?- 41,167,526,400 seconds is equal to 1,309 years.
-
To count from 1 to 41,167,526,400 would take you about two thousand, six hundred eighteen 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 41167526400 cubic inches would be around 287.7 feet tall.
Recreational maths with 41167526400
- 41167526400 backwards is 00462576114
- 41167526400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 41167526400's digits is 36
- More coming soon!
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"Number 41167526400 - Facts about the integer". Numbermatics.com. 2024. Web. 29 April 2024.
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The information we have on file for 41167526400 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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