242306064000
242,306,064,000 is an even composite number composed of seven prime numbers multiplied together.
242306064000 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 242306064000:
27 × 32 × 53 × 7 × 11 × 13 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 13 × 41 × 41)See below for interesting mathematical facts about the number 242306064000 from the Numbermatics database.
Names of 242306064000
- Cardinal: 242306064000 can be written as Two hundred forty-two billion, three hundred six million, sixty-four thousand.
Scientific notation
- Scientific notation: 2.42306064 × 1011
Factors of 242306064000
Divisors of 242306064000
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 25 26 28 30 32 33 35 36 39 40 41 42 44 45 48 50 52 55 56 60 63 64 65 66 70 72 75 77 78 80 82 84 88 90 91 96 99 100 104 105 110 112 117 120 123 125 126 128 130 132 140 143 144 150 154 156 160 164 165 168 175 176 180 182 192 195 198 200 205 208 210 220 224 225 231 234 240 246 250 252 260 264 273 275 280 286 287 288 300 308 312 315 320 325 328 330 336 350 352 360 364 369 375 384 385 390 396 400 410 416 420 429 440 448 450 451 455 462 468 480 492 495 500 504 520 525 528 533 546 550 560 572 574 576 585 600 615 616 624 630 640 650 656 660 672 693 700 704 715 720 728 738 750 770 780 792 800 819 820 825 832 840 858 861 875 880 896 900 902 910 924 936 960 975 984 990 1000 1001 1008 1025 1040 1050 1056 1066 1092 1100 1120 1125 1144 1148 1152 1155 1170 1200 1230 1232 1248 1260 1287 1300 1312 1320 1344 1353 1365 1375 1386 1400 1408 1430 1435 1440 1456 1476 1500 1540 1560 1575 1584 1599 1600 1625 1638 1640 1650 1664 1680 1681 1716 1722 1750 1760 1800 1804 1820 1845 1848 1872 1920 1925 1950 1968 1980 2000 2002 2016 2050 2080 2100 2112 2132 2145 2184 2200 2240 2250 2255 2275 2288 2296 2310 2340 2400 2460 2464 2475 2496 2520 2574 2583 2600 2624 2625 2640 2665 2688 2706 2730 2750 2772 2800 2860 2870 2880 2912 2925 2952 3000 3003 3075 3080 3120 3150 3157 3168 3198 3200 3250 3276 3280 3300 3360 3362 3432 3444 3465 3500 3520 3575 3600 3608 3640 3690 3696 3731 3744 3850 3900 3936 3960 4000 4004 4032 4059 4095 4100 4125 4160 4200 4224 4264 4290 4305 4368 4400 4480 4500 4510 4550 4576 4592 4620 4680 4797 4800 4875 4920 4928 4950 4992 5005 5040 5043 5125 5148 5166 5200 5248 5250 5280 5330 5412 5460 5500 5544 5600 5720 5740 5760 5775 5824 5850 5863 5904 6000 6006 6150 6160 6240 6300 6314 6336 6396 6435 6500 6552 6560 6600 6720 6724 6765 6825 6864 6888 6930 7000 7040 7150 7175 7200 7216 7280 7380 7392 7462 7488 7700 7800 7872 7875 7920 7995 8000 8008 8064 8118 8190 8200 8250 8320 8400 8405 8528 8580 8610 8736 8800 9000 9009 9020 9100 9152 9184 9225 9240 9360 9471 9594 9600 9625 9750 9840 9856 9900 10010 10080 10086 10250 10296 10332 10400 10500 10560 10660 10725 10824 10920 11000 11088 11193 11200 11275 11375 11440 11480 11550 11648 11700 11726 11767 11808 12000 12012 12300 12320 12375 12480 12600 12628 12672 12792 12870 12915 13000 13104 13120 13200 13325 13440 13448 13530 13650 13728 13776 13860 14000 14300 14350 14400 14432 14560 14625 14760 14784 14924 14976 15015 15129 15375 15400 15600 15744 15750 15785 15840 15990 16000 16016 16236 16380 16400 16500 16800 16810 17056 17160 17220 17325 17472 17589 17600 17875 18000 18018 18040 18200 18304 18368 18450 18480 18491 18655 18720 18942 19188 19250 19500 19680 19800 20020 20160 20172 20295 20475 20500 20592 20664 20800 21000 21120 21320 21450 21525 21648 21840 21853 22000 22176 22386 22400 22550 22750 22880 22960 23100 23400 23452 23534 23616 23985 24000 24024 24600 24640 24750 24960 25025 25200 25215 25256 25584 25740 25830 26000 26208 26240 26400 26650 26896 27060 27300 27456 27552 27720 28000 28413 28600 28700 28800 28864 28875 29120 29250 29315 29520 29568 29848 30030 30258 30750 30800 31200 31500 31570 31680 31980 32032 32175 32472 32760 32800 33000 33579 33600 33620 33825 34112 34125 34320 34440 34650 34944 35178 35200 35301 35750 35875 36000 36036 36080 36400 36736 36900 36960 36982 37310 37440 37884 38376 38500 39000 39360 39600 39975 40040 40320 40344 40590 40950 41000 41041 41184 41328 41600 42000 42025 42640 42900 43050 43296 43680 43706 44000 44352 44772 45045 45100 45500 45760 45920 46125 46200 46800 46904 47068 47232 47355 47970 48000 48048 49200 49280 49500 50050 50400 50430 50512 51168 51480 51660 52000 52416 52767 52800 53300 53625 53792 54120 54600 54912 55104 55440 55473 55965 56000 56375 56826 57200 57400 57728 57750 58240 58500 58630 58835 59040 59696 60060 60516 61500 61600 62400 63000 63140 63360 63960 64064 64350 64575 64944 65520 65559 65600 66000 66625 67158 67200 67240 67650 68224 68250 68640 68880 69300 70356 70602 71500 71750 72000 72072 72160 72800 73800 73920 73964 74620 74880 75075 75645 75768 76752 77000 78000 78720 78925 79200 79950 80080 80688 81180 81900 82000 82082 82368 82656 84000 84050 85280 85800 86100 86592 86625 87360 87412 87945 88000 88704 89544 90090 90200 91000 91520 91840 92250 92400 92455 93275 93600 93808 94136 94710 95940 96096 98400 99000 100100 100800 100860 101024 101475 102336 102375 102960 103320 104000 104832 105534 105600 105903 106600 107250 107584 107625 108240 109200 109265 110208 110880 110946 111930 112000 112750 113652 114400 114800 115500 117000 117260 117670 118080 119392 119925 120120 121032 123000 123123 123200 124800 125125 126000 126075 126280 127920 128128 128700 129150 129437 129888 131040 131118 131200 132000 133250 134316 134480 135300 136500 137280 137760 138600 140712 141204 142065 143000 143500 144000 144144 144320 145600 146575 147600 147840 147928 149240 150150 151290 151536 152971 153504 154000 156000 157850 158400 159900 160160 160875 161376 162360 163800 164000 164164 164736 165312 166419 167895 168000 168100 169125 170560 171600 172200 173184 173250 174720 174824 175890 176000 176505 179088 180180 180400 182000 183680 184500 184800 184910 186550 187200 187616 188272 189420 191880 192192 196677 196800 198000 199875 200200 201600 201720 202048 202950 204672 204750 205205 205920 206640 208000 210125 211068 211806 213200 214500 215168 215250 216480 218400 218530 221760 221892 223860 225225 225500 227304 228800 229600 231000 234000 234520 235340 236160 236775 238784 239850 240240 240383 242064 246000 246246 246400 250250 252000 252150 252560 255840 257400 258300 258874 259776 262080 262236 263835 264000 266500 268632 268960 270600 273000 274560 275520 277200 277365 279825 281424 282408 284130 286000 287000 288288 288640 291200 293150 294175 295200 295856 298480 300300 302580 303072 305942 307008 308000 312000 315700 316800 319800 320320 321750 322752 322875 324720 327600 327795 328000 328328 330624 332838 335790 336000 336200 338250 341120 343200 344400 346500 349648 351780 353010 358176 360360 360800 364000 369000 369369 369600 369820 373100 374400 375232 375375 376544 378225 378840 383760 384384 388311 393354 393600 394625 396000 399750 400400 403440 404096 405900 409500 410410 411840 413280 420250 422136 423612 426400 429000 430500 432960 436800 437060 439725 443520 443784 447720 450450 451000 454608 457600 458913 459200 462000 462275 466375 468000 469040 470680 473550 477568 479700 480480 480766 484128 492000 492492 500500 504000 504300 505120 507375 511680 514800 516600 517748 519552 524160 524472 527670 528000 529515 533000 537264 537920 541200 546000 546325 551040 554400 554730 559650 562848 564816 568260 572000 574000 576576 586300 588350 590400 591712 596960 599625 600600 605160 606144 611884 614016 615615 616000 624000 630375 631400 639600 640640 643500 645504 645750 647185 649440 655200 655590 656000 656656 665676 671580 672400 676500 686400 688800 693000 699296 703560 706020 710325 716352 720720 721149 721600 728000 732875 738000 738738 739200 739640 746200 750464 750750 753088 756450 757680 764855 767520 776622 786708 789250 792000 799500 800800 806880 811800 819000 820820 823680 826560 832095 839475 840500 844272 847224 852800 858000 861000 865920 873600 874120 879450 882525 887568 895440 900900 902000 909216 917826 918400 924000 924550 932750 936000 938080 941360 947100 959400 960960 961532 968256 983385 984000 984984 1001000 1008000 1008600 1010240 1014750 1023360 1026025 1029600 1033200 1035496 1048944 1055340 1059030 1066000 1074528 1075840 1082400 1092000 1092650 1108800 1109460 1119300 1125696 1126125 1129632 1136520 1144000 1148000 1153152 1164933 1172600 1176700 1180800 1183424 1183875 1193920 1199250 1201200 1201915 1210320 1212288 1223768 1231230 1232000 1260750 1262800 1279200 1287000 1291500 1294370 1298880 1310400 1311180 1313312 1319175 1331352 1343160 1344800 1353000 1372800 1376739 1377600 1386000 1386825 1398592 1399125 1407120 1412040 1420650 1432704 1441440 1442298 1443200 1456000 1465750 1470875 1476000 1477476 1479280 1492400 1501500 1506176 1512900 1515360 1529710 1535040 1553244 1573416 1578500 1584000 1599000 1601600 1613760 1623600 1638000 1638975 1641640 1653120 1664190 1678950 1681000 1682681 1688544 1694448 1705600 1716000 1722000 1748240 1758900 1765050 1775136 1790880 1801800 1804000 1818432 1835652 1846845 1848000 1849100 1865500 1872000 1876160 1882720 1891125 1894200 1918800 1921920 1923064 1936512 1941555 1966770 1968000 1969968 2002000 2017200 2020480 2029500 2052050 2059200 2066400 2070992 2097888 2110680 2118060 2132000 2149056 2163447 2164800 2184000 2185300 2198625 2217600 2218920 2238600 2251392 2252250 2259264 2273040 2288000 2294565 2296000 2311375 2329866 2345200 2353400 2366848 2367750 2387840 2398500 2402400 2403830 2420640 2447536 2462460 2521500 2525600 2558400 2574000 2583000 2588740 2597760 2620800 2622360 2626624 2638350 2647575 2662704 2686320 2689600 2706000 2731625 2753478 2755200 2772000 2773650 2797184 2798250 2814240 2824080 2841300 2882880 2884596 2931500 2941750 2952000 2954952 2958560 2984800 3003000 3025800 3030720 3059420 3070080 3078075 3106488 3146832 3157000 3198000 3203200 3227520 3235925 3247200 3276000 3277950 3283280 3328380 3357900 3362000 3365362 3377088 3388896 3432000 3444000 3496480 3517800 3530100 3550272 3551625 3581760 3603600 3605745 3608000 3636864 3671304 3693690 3696000 3698200 3731000 3752320 3765440 3782250 3788400 3824275 3837600 3846128 3883110 3933540 3939936 4004000 4034400 4059000 4104100 4118400 4132800 4141984 4160475 4195776 4197375 4221360 4236120 4264000 4298112 4326894 4329600 4368000 4370600 4397250 4412625 4437840 4477200 4504500 4518528 4546080 4589130 4592000 4622750 4659732 4690400 4706800 4735500 4797000 4804800 4807660 4841280 4895072 4916925 4924920 5043000 5048043 5051200 5116800 5130125 5148000 5166000 5177480 5244720 5253248 5276700 5295150 5325408 5372640 5379200 5412000 5463250 5506956 5544000 5547300 5596500 5628480 5648160 5682600 5765760 5769192 5824665 5863000 5883500 5904000 5909904 5917120 5969600 6006000 6009575 6051600 6061440 6118840 6156150 6212976 6293664 6314000 6396000 6471850 6494400 6552000 6555900 6566560 6595875 6656760 6715800 6724000 6730724 6754176 6777792 6864000 6883695 6888000 6934125 6992960 7035600 7060200 7100544 7103250 7163520 7207200 7211490 7216000 7342608 7387380 7396400 7462000 7530880 7564500 7576800 7648550 7675200 7692256 7766220 7867080 7879872 8008000 8068800 8118000 8194875 8208200 8265600 8283968 8320950 8391552 8394750 8413405 8442720 8472240 8528000 8653788 8741200 8794500 8825250 8875680 8954400 9009000 9092160 9178260 9234225 9245500 9319464 9380800 9413600 9471000 9594000 9609600 9615320 9682560 9707775 9790144 9833850 9849840 10086000 10096086 10102400 10260250 10296000 10332000 10354960 10489440 10553400 10590300 10650816 10745280 10817235 10824000 10926500 11013912 11088000 11094600 11193000 11256960 11296320 11365200 11472825 11538384 11649330 11726000 11767000 11819808 11834240 11939200 12012000 12019150 12103200 12237680 12312300 12425952 12587328 12628000 12792000 12943700 12988800 13104000 13111800 13133120 13191750 13237875 13313520 13431600 13448000 13461448 13555584 13767390 13776000 13868250 13985920 14071200 14120400 14206500 14414400 14422980 14685216 14774760 14792800 14924000 15129000 15144129 15153600 15297100 15350400 15384512 15390375 15532440 15734160 15759744 16016000 16137600 16179625 16236000 16389750 16416400 16567936 16641900 16789500 16826810 16885440 16944480 17307576 17482400 17589000 17650500 17751360 17908800 18018000 18028725 18184320 18356520 18468450 18491000 18638928 18761600 18827200 18942000 19121375 19188000 19230640 19415550 19580288 19667700 19699680 20172000 20192172 20520500 20592000 20664000 20709920 20802375 20978880 21106800 21180600 21301632 21490560 21634470 21648000 21853000 22027824 22189200 22386000 22592640 22730400 22945650 23076768 23298660 23452000 23534000 23639616 24024000 24038300 24206400 24475360 24584625 24624600 24851904 25174656 25240215 25256000 25584000 25887400 26223600 26266240 26383500 26475750 26627040 26863200 26896000 26922896 27534780 27736500 28142400 28240800 28413000 28828800 28845960 29123325 29370432 29549520 29585600 29848000 30047875 30258000 30288258 30307200 30594200 30769024 30780750 31064880 31468320 32359250 32472000 32779500 32832800 33283800 33579000 33653620 33770880 33888960 34418475 34615152 34964800 35178000 35301000 35502720 35817600 36036000 36057450 36713040 36936900 36982000 37277856 37654400 37884000 38242750 38376000 38461280 38831100 39335400 39399360 40344000 40384344 41041000 41328000 41419840 41604750 41957760 42067025 42213600 42361200 43268940 43706000 44055648 44378400 44772000 45460800 45891300 46153536 46171125 46597320 46904000 47068000 47279232 48048000 48076600 48412800 48538875 48950720 49169250 49249200 49703808 50480430 50512000 51774800 52447200 52767000 52951500 53254080 53726400 53845792 54086175 55069560 55473000 56284800 56481600 56826000 57364125 57691920 58246650 58740864 59099040 59171200 59696000 60095750 60516000 60576516 61188400 61561500 62129760 62936640 64718500 64944000 65559000 65665600 66567600 67158000 67307240 67777920 68836950 69230304 69929600 70356000 70602000 72072000 72114900 73426080 73873800 73964000 74555712 75720645 75768000 76485500 76752000 76922560 77662200 78670800 78798720 80688000 80768688 82082000 82839680 83209500 84134050 84427200 84722400 86537880 87412000 88111296 88756800 89544000 90143625 90921600 91782600 92307072 92342250 93194640 93808000 94136000 96153200 97077750 97901440 98338500 98498400 100960860 103549600 104894400 105534000 105903000 106508160 107452800 107691584 108172350 110139120 110946000 112963200 113652000 114728250 115383840 116493300 118198080 120191500 121032000 121153032 122376800 123123000 124259520 125873280 126201075 129437000 131118000 131331200 133135200 134316000 134614480 137673900 138460608 140712000 141204000 144144000 144229800 145616625 146852160 147747600 147928000 149111424 151441290 151536000 152971000 153845120 155324400 157341600 161537376 164164000 166419000 168268100 168854400 169444800 172092375 173075760 174824000 176222592 177513600 179088000 180287250 183565200 184684500 186389280 188272000 192306400 194155500 196677000 196996800 201921720 207099200 209788800 210335125 211068000 211806000 215383168 216344700 220278240 221892000 227304000 229456500 230767680 232986600 236396160 240383000 242064000 242306064 244753600 246246000 248519040 252402150 258874000 262236000 266270400 268632000 269228960 270430875 275347800 276921216 281424000 282408000 288459600 291233250 293704320 295495200 295856000 302882580 305942000 310648800 314683200 323074752 328328000 332838000 336536200 338889600 344184750 346151520 349648000 360574500 367130400 369369000 372778560 378603225 384612800 388311000 393354000 393993600 403843440 414198400 420670250 422136000 423612000 432689400 440556480 443784000 454608000 458913000 461535360 465973200 480766000 484612128 489507200 492492000 504804300 517748000 524472000 532540800 537264000 538457920 540861750 550695600 564816000 576919200 582466500 590990400 605765160 611884000 621297600 629366400 631005375 646149504 656656000 665676000 673072400 688369500 692303040 721149000 734260800 738738000 745557120 757206450 769225600 776622000 786708000 807686880 841340500 844272000 847224000 865378800 881112960 887568000 917826000 931946400 961532000 969224256 984984000 1009608600 1035496000 1048944000 1076915840 1081723500 1101391200 1153838400 1164933000 1181980800 1211530320 1223768000 1242595200 1262010750 1331352000 1346144800 1376739000 1384606080 1442298000 1468521600 1477476000 1514412900 1553244000 1573416000 1615373760 1682681000 1694448000 1730757600 1835652000 1863892800 1893016125 1923064000 1938448512 1969968000 2019217200 2070992000 2163447000 2202782400 2307676800 2329866000 2423060640 2447536000 2524021500 2662704000 2692289600 2753478000 2884596000 2954952000 3028825800 3106488000 3146832000 3230747520 3365362000 3461515200 3671304000 3727785600 3786032250 3846128000 4038434400 4326894000 4405564800 4659732000 4846121280 5048043000 5384579200 5506956000 5769192000 5909904000 6057651600 6212976000 6730724000 6923030400 7342608000 7572064500 8076868800 8653788000 9319464000 9692242560 10096086000 11013912000 11538384000 12115303200 13461448000 15144129000 16153737600 17307576000 18638928000 20192172000 22027824000 24230606400 26922896000 30288258000 34615152000 40384344000 48461212800 60576516000 80768688000 121153032000 242306064000
- Sum of all divisors σ(n): 1197547303680
- Sum of proper divisors (its aliquot sum) s(n): 955241239680
- 242306064000 is an abundant number, because the sum of its proper divisors (955241239680) is greater than itself. Its abundance is 712935175680
Bases of 242306064000
- Binary: 111000011010101001000100011110100000002
- Hexadecimal: 0x386A911E80
- Base-36: 33BARVK0
Squares and roots of 242306064000
- 242306064000 squared (2423060640002) is 58712228651172096000000
- 242306064000 cubed (2423060640003) is 14226329033133539568390144000000000
-
The
square root of 242306064000 is 492245.9385307307 -
The
cube root of 242306064000 is 6234.3057026989
Scales and comparisons
How big is 242306064000?- 242,306,064,000 seconds is equal to 7,704 years, 30 weeks, 2 days, 8 hours.
-
To count from 1 to 242,306,064,000 would take you about fifteen thousand, four hundred nine 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 242306064000 cubic inches would be around 519.5 feet tall.
Recreational maths with 242306064000
- 242306064000 backwards is 000460603242
- The number of decimal digits it has is: 12
- The sum of 242306064000's digits is 27
- More coming soon!
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The information we have on file for 242306064000 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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