242235864000

Names of 242235864000

• Cardinal: 242235864000 can be written as Two hundred forty-two billion, two hundred thirty-five million, eight hundred sixty-four thousand.

Scientific notation

• Scientific notation: 2.42235864 × 10¹¹

Factors of 242235864000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 352

Divisors of 242235864000

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 30 32 36 38 39 40 45 48 50 52 53 57 60 64 65 72 75 76 78 80 90 95 96 100 104 106 114 117 120 125 130 144 150 152 156 159 160 171 180 190 192 195 200 208 212 225 228 234 240 247 250 257 260 265 285 288 300 304 312 318 320 325 342 360 375 380 390 400 416 424 450 456 468 475 477 480 494 500 514 520 530 570 576 585 600 608 624 636 650 684 689 720 741 750 760 771 780 795 800 832 848 855 900 912 936 950 954 960 975 988 1000 1007 1028 1040 1060 1125 1140 1170 1200 1216 1235 1248 1272 1285 1300 1325 1368 1378 1425 1440 1482 1500 1520 1542 1560 1590 1600 1625 1696 1710 1800 1824 1872 1900 1908 1950 1976 2000 2014 2056 2067 2080 2120 2223 2250 2280 2313 2340 2375 2385 2400 2470 2496 2544 2570 2600 2650 2736 2756 2850 2880 2925 2964 3000 3021 3040 3084 3120 3180 3250 3341 3392 3420 3445 3600 3648 3705 3744 3800 3816 3855 3900 3952 3975 4000 4028 4112 4134 4160 4240 4275 4446 4500 4560 4626 4680 4750 4770 4800 4875 4883 4940 5035 5088 5140 5200 5300 5472 5512 5700 5850 5928 6000 6042 6080 6168 6175 6201 6240 6360 6425 6500 6625 6682 6840 6890 7125 7200 7410 7488 7600 7632 7710 7800 7904 7950 8000 8056 8224 8268 8480 8550 8892 9000 9063 9120 9252 9360 9500 9540 9750 9766 9880 10023 10070 10176 10280 10335 10400 10600 10944 11024 11115 11400 11565 11700 11856 11925 12000 12084 12336 12350 12402 12480 12720 12850 13000 13091 13250 13364 13621 13680 13780 14250 14400 14625 14649 14820 15105 15200 15264 15420 15600 15808 15900 16112 16448 16536 16705 16960 17100 17225 17784 18000 18126 18240 18504 18525 18720 19000 19080 19275 19500 19532 19760 19875 20046 20140 20560 20670 20800 21200 21375 22048 22230 22800 23130 23400 23712 23850 24000 24168 24415 24672 24700 24804 25175 25440 25700 26000 26182 26500 26728 27242 27360 27560 28500 29250 29298 29640 30069 30210 30400 30528 30840 30875 31005 31200 31800 32125 32224 33072 33410 34200 34450 35568 36000 36252 37008 37050 37440 38000 38160 38550 39000 39064 39273 39520 39750 40092 40280 40863 41120 41340 42400 42750 43947 44096 44460 45315 45600 46260 46800 47424 47700 48336 48830 49344 49400 49608 50115 50350 50880 51400 51675 52000 52364 53000 53456 54484 54720 55120 55575 57000 57825 58500 58596 59280 59625 60138 60420 61680 61750 62010 62400 63479 63600 64250 64448 65455 66144 66820 68105 68400 68900 71136 72000 72504 73245 74016 74100 75525 76000 76320 77100 78000 78128 78546 79040 79500 80184 80560 81726 82240 82680 83525 84800 85500 86125 87894 88920 90630 91200 92520 92625 93600 95400 96375 96672 97660 98800 99216 100230 100700 102800 103350 104000 104728 106000 106912 108968 110240 111150 114000 115650 117000 117192 117819 118560 119250 120276 120840 122075 122589 123360 123500 124020 125875 126958 127200 128500 130910 132288 133640 136210 136800 137800 142272 145008 146490 148032 148200 150345 151050 152000 152640 154200 155025 156000 156256 157092 159000 160368 161120 163452 165360 167050 171000 172250 175788 177073 177840 181260 185040 185250 187200 190437 190800 192750 193344 195320 196365 197600 198432 200460 201400 204315 205600 206700 209456 212000 213824 217936 219735 220480 222300 226575 228000 231300 234000 234384 235638 237120 238500 240552 241680 244150 245178 246720 247000 248040 250575 251750 253916 254400 257000 258375 258799 261820 267280 272420 273600 275600 277875 289125 290016 292980 296400 300690 302100 308400 310050 312000 312512 314184 317395 318000 320736 322240 326904 327275 330720 334100 340525 342000 344500 351576 354146 355680 362520 366225 370080 370500 377625 380874 381600 385500 390640 392730 395200 396864 400920 402800 408630 411200 413400 417625 418912 424000 435872 439470 444600 453150 456000 462600 468000 468768 471276 477000 481104 483360 488300 490356 494000 496080 501150 503500 507832 514000 516750 517598 523640 531219 534560 544840 551200 555750 571311 578250 580032 585960 589095 592800 601380 604200 610375 612945 616800 620100 628368 634790 636000 641472 653808 654550 661440 668200 681050 684000 689000 703152 708292 711360 725040 732450 740160 741000 751725 755250 761748 763200 771000 775125 776397 781280 785460 801840 805600 817260 826800 835250 837824 871744 878940 885365 889200 906300 925200 936000 937536 942552 952185 954000 962208 966720 976600 980712 981825 988000 992160 1002300 1007000 1015664 1021575 1028000 1033500 1035196 1047280 1062438 1069120 1089680 1098675 1102400 1111500 1132875 1142622 1156500 1171920 1178190 1185600 1202760 1208400 1220750 1225890 1233600 1240200 1252875 1256736 1269580 1272000 1293995 1307616 1309100 1336400 1362100 1368000 1378000 1406304 1416584 1450080 1464900 1482000 1503450 1510500 1523496 1542000 1550250 1552794 1562560 1570920 1586975 1593657 1603680 1611200 1634520 1636375 1653600 1670500 1702625 1757880 1770730 1778400 1812600 1831125 1850400 1885104 1904370 1908000 1924416 1953200 1961424 1963650 1976000 1984320 2004600 2014000 2031328 2043150 2056000 2067000 2070392 2094560 2124876 2179360 2197350 2223000 2265750 2285244 2313000 2329191 2343840 2356380 2405520 2416800 2441500 2451780 2480400 2505750 2513472 2539160 2587990 2615232 2618200 2656095 2672800 2724200 2756000 2812608 2833168 2856555 2900160 2929800 2945475 2964000 3006900 3021000 3046992 3064725 3084000 3100500 3105588 3141840 3173950 3187314 3207360 3269040 3272750 3307200 3341000 3364387 3405250 3515760 3541460 3556800 3625200 3662250 3700800 3758625 3770208 3808740 3816000 3881985 3906400 3922848 3927300 4009200 4028000 4062656 4086300 4134000 4140784 4189120 4249752 4358720 4394700 4426825 4446000 4531500 4570488 4626000 4658382 4687680 4712760 4760925 4811040 4833600 4883000 4903560 4909125 4960800 5011500 5078320 5107875 5175980 5236400 5312190 5345600 5448400 5493375 5512000 5666336 5713110 5859600 5890950 5928000 6013800 6042000 6093984 6129450 6168000 6201000 6211176 6283680 6347900 6374628 6469975 6538080 6545500 6682000 6728774 6810500 7031520 7082920 7250400 7324500 7517250 7540416 7617480 7763970 7812800 7845696 7854600 7934875 7968285 8018400 8056000 8172600 8268000 8281568 8499504 8789400 8853650 8892000 9063000 9140976 9252000 9316764 9425520 9521850 9622080 9766000 9807120 9818250 9921600 10023000 10093161 10156640 10215750 10351960 10472800 10624380 10896800 10986750 11332672 11426220 11645955 11719200 11781900 12027600 12084000 12187968 12258900 12402000 12422352 12567360 12695800 12749256 12939950 13076160 13091000 13280475 13364000 13457548 13621000 14063040 14165840 14282775 14500800 14649000 14727375 15034500 15234960 15323625 15527940 15709200 15869750 15936570 16036800 16345200 16536000 16563136 16821935 16999008 17578800 17707300 17784000 18126000 18281952 18504000 18633528 18851040 19043700 19409925 19532000 19614240 19636500 20046000 20186322 20313280 20431500 20703920 20945600 21248760 21793600 21973500 22134125 22852440 23291910 23438400 23563800 23804625 24055200 24168000 24517800 24804000 24844704 25391600 25498512 25879900 26182000 26560950 26728000 26915096 27242000 28331680 28565550 29298000 29454750 30069000 30279483 30469920 30647250 31055880 31418400 31739500 31873140 32349875 32690400 33643870 33998016 35157600 35414600 36252000 36563904 37267056 37702080 38087400 38819850 39064000 39228480 39273000 39841425 40092000 40372644 40863000 41407840 42497520 43947000 44268250 45704880 46583820 47127600 47609250 48110400 49035600 49608000 49689408 50465805 50783200 50997024 51759800 52364000 53121900 53830192 54484000 56663360 57131100 58229775 58596000 58909500 60138000 60558966 60939840 61294500 62111760 62836800 63479000 63746280 64699750 65380800 66402375 67287740 70315200 70829200 71413875 72504000 74534112 76174800 77639700 78546000 79682850 80184000 80745288 81726000 82815680 84109675 84995040 87894000 88536500 91409760 93167640 94255200 95218500 97049625 98071200 100931610 101566400 101994048 103519600 104728000 106243800 107660384 108968000 114262200 116459550 117192000 117819000 120276000 121117932 122589000 124223520 126958000 127492560 129399500 132804750 134575480 141658400 142827750 149068224 151397415 152349600 155279400 157092000 159365700 161490576 163452000 168219350 169990080 175788000 177073000 182819520 186335280 188510400 190437000 194099250 196142400 199207125 201863220 207039200 212487600 215320768 228524400 232919100 235638000 240552000 242235864 245178000 248447040 252329025 253916000 254985120 258799000 265609500 269150960 283316800 285655500 291148875 302794830 304699200 310558800 314184000 318731400 322981152 326904000 336438700 351576000 354146000 372670560 380874000 388198500 398414250 403726440 414078400 420548375 424975200 457048800 465838200 471276000 484471728 490356000 504658050 507832000 509970240 517598000 531219000 538301920 571311000 582297750 605589660 621117600 637462800 645962304 672877400 708292000 745341120 756987075 761748000 776397000 796828500 807452880 841096750 849950400 914097600 931676400 942552000 968943456 980712000 1009316100 1035196000 1062438000 1076603840 1142622000 1164595500 1211179320 1242235200 1261645125 1274925600 1345754800 1416584000 1513974150 1523496000 1552794000 1593657000 1614905760 1682193500 1863352800 1937886912 2018632200 2070392000 2124876000 2285244000 2329191000 2422358640 2523290250 2549851200 2691509600 3027948300 3105588000 3187314000 3229811520 3364387000 3726705600 3784935375 4037264400 4249752000 4570488000 4658382000 4844717280 5046580500 5383019200 6055896600 6211176000 6374628000 6728774000 7569870750 8074528800 9316764000 9689434560 10093161000 12111793200 12749256000 13457548000 15139741500 16149057600 18633528000 20186322000 24223586400 26915096000 30279483000 40372644000 48447172800 60558966000 80745288000 121117932000 242235864000
• Sum of all divisors σ(n): 1004715653760
• Sum of proper divisors (its aliquot sum) s(n): 762479789760
• 242235864000 is an abundant number, because the sum of its proper divisors (762479789760) is greater than itself. Its abundance is 520243925760

Bases of 242235864000

• Binary: 11100001100110011000011111001111000000₂
• Hexadecimal: 0x386661F3C0
• Base-36: 33A4Z8W0

Squares and roots of 242235864000

• 242235864000 squared (242235864000²) is 58678213807826496000000
• 242235864000 cubed (242235864000³) is 14213967819715581220652544000000000
• The square root of 242235864000 is 492174.6275459555
• The cube root of 242235864000 is 6233.7035846937

Scales and comparisons

• 242,235,864,000 seconds is equal to 7,702 years, 18 weeks, 1 day, 20 hours.
• To count from 1 to 242,235,864,000 would take you about fifteen thousand, four hundred four 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 242235864000 cubic inches would be around 519.5 feet tall.

Recreational maths with 242235864000

• 242235864000 backwards is 000468532242
• 242235864000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 242235864000's digits is 36
• More coming soon!