242074528460800
242,074,528,460,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 242074528460800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1404 divisors.
242074528460800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred four divisors.
Prime factorization of 242074528460800:
212 × 52 × 72 × 312 × 61 × 823
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 31 × 31 × 61 × 823)See below for interesting mathematical facts about the number 242074528460800 from the Numbermatics database.
Names of 242074528460800
- Cardinal: 242074528460800 can be written as Two hundred forty-two trillion, seventy-four billion, five hundred twenty-eight million, four hundred sixty thousand, eight hundred.
Scientific notation
- Scientific notation: 2.420745284608 × 1014
Factors of 242074528460800
Divisors of 242074528460800
- Number of divisors d(n): 1404
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 49 50 56 61 62 64 70 80 98 100 112 122 124 128 140 155 160 175 196 200 217 224 244 245 248 256 280 305 310 320 350 392 400 427 434 448 488 490 496 512 560 610 620 640 700 775 784 800 823 854 868 896 961 976 980 992 1024 1085 1120 1220 1225 1240 1280 1400 1519 1525 1550 1568 1600 1646 1708 1736 1792 1891 1922 1952 1960 1984 2048 2135 2170 2240 2440 2450 2480 2560 2800 2989 3038 3050 3100 3136 3200 3292 3416 3472 3584 3782 3844 3904 3920 3968 4096 4115 4270 4340 4480 4805 4880 4900 4960 5120 5425 5600 5761 5978 6076 6100 6200 6272 6400 6584 6727 6832 6944 7168 7564 7595 7688 7808 7840 7936 8230 8540 8680 8960 9455 9610 9760 9800 9920 10240 10675 10850 11200 11522 11956 12152 12200 12400 12544 12800 13168 13237 13454 13664 13888 14336 14945 15128 15190 15376 15616 15680 15872 16460 17080 17360 17920 18910 19220 19520 19600 19840 20480 20575 21350 21700 22400 23044 23912 24025 24304 24400 24800 25088 25513 25600 26336 26474 26908 27328 27776 28672 28805 29890 30256 30380 30752 31232 31360 31744 32920 33635 34160 34720 35840 37820 37975 38440 39040 39200 39680 40327 41150 42700 43400 44800 46088 47089 47275 47824 48050 48608 48800 49600 50176 50203 51026 51200 52672 52948 53816 54656 55552 57610 58621 59780 60512 60760 61504 62464 62720 63488 65840 66185 67270 68320 69440 71680 74725 75640 75950 76880 78080 78400 79360 80654 82300 85400 86800 89600 92176 92659 94178 94550 95648 96100 97216 97600 99200 100352 100406 102052 102400 105344 105896 107632 109312 111104 115220 117242 119560 121024 121520 123008 124928 125440 126976 127565 131680 132370 134540 136640 138880 143360 144025 149450 151280 151900 153760 156160 156800 158720 161308 164600 168175 170800 173600 178591 179200 184352 185318 188356 189100 191296 192200 194432 195200 198400 200704 200812 201635 204104 210688 211792 215264 218624 222208 230440 234484 235445 239120 242048 243040 246016 249856 250880 251015 255130 263360 264740 269080 273280 277760 288050 293105 298900 302560 303800 307520 312320 313600 317440 322616 329200 330925 336350 341600 347200 351421 357182 358400 368704 370636 376712 378200 382592 384400 388864 390400 396800 401624 403270 408208 410347 421376 423584 430528 437248 444416 460880 463295 468968 470890 478240 484096 486080 492032 501760 502030 510260 526720 529480 538160 546560 555520 576100 586210 597800 605120 607600 615040 624640 627200 634880 637825 645232 658400 661850 672700 683200 694400 702842 714364 716800 737408 741272 753424 756400 765184 768800 777728 780800 790903 793600 803248 806540 816416 820694 842752 847168 861056 874496 888832 892955 921760 926590 937936 941780 956480 968192 972160 984064 1003520 1004060 1008175 1020520 1053440 1058960 1076320 1093120 1111040 1152200 1172420 1177225 1195600 1210240 1215200 1230080 1249280 1250137 1254400 1255075 1275650 1290464 1316800 1323700 1345400 1366400 1388800 1405684 1428728 1465525 1474816 1482544 1506848 1512800 1530368 1537600 1555456 1556293 1561600 1581806 1587200 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272351275 276816050 281136800 285745600 287242900 294963200 296508800 300139520 301369600 305033428 306073600 310033976 311258600 314873216 316361200 320035072 321299200 326566400 328277600 337715581 338867200 344422400 348609632 354324544 359855104 365754368 367670912 375174400 379531264 381291785 385960664 387542470 393591520 398411008 400043840 404942336 412948480 420195328 435762040 442905680 449818880 457192960 459588640 474414080 482191360 482450830 491989400 498013760 500054800 506177920 514078720 516185600 522506240 525244160 544702550 553632100 562273600 571491200 574485800 589926400 593017600 600279040 602739200 610066856 620067952 622517200 629746432 632722400 640070144 642598400 653132800 656555200 675431162 677734400 688844800 697219264 708649088 719710208 731508736 735341824 750348800 762583570 771921328 775084940 787183040 796822016 800087680 809884672 825896960 840390656 871524080 885811360 899637760 914385920 919177280 948828160 964382720 964901660 968856175 983978800 996027520 1000109600 1012355840 1028157440 1032371200 1050488320 1089405100 1107264200 1124547200 1142982400 1148971600 1186035200 1200558080 1205478400 1206127075 1220133712 1240135904 1245034400 1259492864 1265444800 1280140288 1285196800 1306265600 1313110400 1350862324 1355468800 1394438528 1417298176 1439420416 1470683648 1500697600 1525167140 1543842656 1550169880 1574366080 1593644032 1600175360 1619769344 1680781312 1688577905 1743048160 1771622720 1799275520 1828771840 1838354560 1897656320 1906458925 1929803320 1937712350 1967957600 1992055040 2000219200 2024711680 2064742400 2100976640 2178810200 2214528400 2249094400 2285964800 2297943200 2364009067 2372070400 2410956800 2412254150 2440267424 2480271808 2490068800 2518985728 2530889600 2560280576 2570393600 2612531200 2626220800 2701724648 2788877056 2834596352 2941367296 3001395200 3050334280 3087685312 3100339760 3148732160 3187288064 3200350720 3239538688 3377155810 3486096320 3543245440 3598551040 3657543680 3676709120 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128014028800 135086232400 139443852800 141729817600 147068364800 151296580288 154384265600 156177115136 158737395712 159364403200 172910377472 189120725360 195221393920 197611859968 198421744640 216137971840 223110164480 236400906700 244026742400 247014824960 248027180800 251898572800 270172464800 278887705600 283459635200 294136729600 302593160576 308768531200 312354230272 345820754944 378241450720 390442787840 396843489280 432275943680 472801813400 488053484800 494029649920 496054361600 540344929600 557775411200 566919270400 605186321152 617537062400 691641509888 756482901440 780885575680 793686978560 864551887360 945603626800 976106969600 988059299840 992108723200 1080689859200 1115550822400 1210372642304 1235074124800 1383283019776 1512965802880 1561771151360 1729103774720 1891207253600 1952213939200 1984217446400 2161379718400 2420745284608 2470148249600 3025931605760 3458207549440 3782414507200 3904427878400 3968434892800 4322759436800 4841490569216 4940296499200 6051863211520 6916415098880 7564829014400 7808855756800 8645518873600 9682981138432 12103726423040 15129658028800 17291037747200 24207452846080 30259316057600 34582075494400 48414905692160 60518632115200 121037264230400 242074528460800
- Sum of all divisors σ(n): 734246060632848
- Sum of proper divisors (its aliquot sum) s(n): 492171532172048
- 242074528460800 is an abundant number, because the sum of its proper divisors (492171532172048) is greater than itself. Its abundance is 250097003711248
Bases of 242074528460800
- Binary: 1101110000101010010111100100011100110000000000002
- Hexadecimal: 0xDC2A5E473000
- Base-36: 2DT3I42E4G
Squares and roots of 242074528460800
- 242074528460800 squared (2420745284608002) is 58600077329518669217136640000
- 242074528460800 cubed (2420745284608003) is 14185586087309647951368684414762483712000000
-
The
square root of 242074528460800 is 15558744.4371581603 -
The
cube root of 242074528460800 is 62323.1933977721
Scales and comparisons
How big is 242074528460800?- 242,074,528,460,800 seconds is equal to 7,697,221 years, 11 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 242,074,528,460,800 would take you about nineteen million, two hundred forty-three thousand and fifty-three 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 242074528460800 cubic inches would be around 5193.6 feet tall.
Recreational maths with 242074528460800
- 242074528460800 backwards is 008064825470242
- The number of decimal digits it has is: 15
- The sum of 242074528460800's digits is 52
- More coming soon!
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The information we have on file for 242074528460800 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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