242820480
242,820,480 is an even composite number composed of six prime numbers multiplied together.
242820480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 242820480:
27 × 3 × 5 × 72 × 29 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 29 × 89)See below for interesting mathematical facts about the number 242820480 from the Numbermatics database.
Names of 242820480
- Cardinal: 242820480 can be written as Two hundred forty-two million, eight hundred twenty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 2.4282048 × 108
Factors of 242820480
Divisors of 242820480
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 29 30 32 35 40 42 48 49 56 58 60 64 70 80 84 87 89 96 98 105 112 116 120 128 140 145 147 160 168 174 178 192 196 203 210 224 232 240 245 267 280 290 294 320 336 348 356 384 392 406 420 435 445 448 464 480 490 534 560 580 588 609 623 640 672 696 712 735 784 812 840 870 890 896 928 960 980 1015 1068 1120 1160 1176 1218 1246 1335 1344 1392 1421 1424 1470 1568 1624 1680 1740 1780 1856 1869 1920 1960 2030 2136 2240 2320 2352 2436 2492 2581 2670 2688 2784 2842 2848 2940 3045 3115 3136 3248 3360 3480 3560 3712 3738 3920 4060 4263 4272 4361 4480 4640 4704 4872 4984 5162 5340 5568 5684 5696 5880 6090 6230 6272 6496 6720 6960 7105 7120 7476 7743 7840 8120 8526 8544 8722 9280 9345 9408 9744 9968 10324 10680 11136 11368 11392 11760 12180 12460 12905 12992 13083 13440 13920 14210 14240 14952 15486 15680 16240 17052 17088 17444 18067 18560 18690 18816 19488 19936 20648 21315 21360 21805 22736 23520 24360 24920 25810 25984 26166 27840 28420 28480 29904 30972 31360 32480 34104 34176 34888 36134 37380 38715 38976 39872 41296 42630 42720 43610 45472 47040 48720 49840 51620 52332 54201 55680 56840 56960 59808 61944 64960 65415 68208 69776 72268 74760 77430 77952 79744 82592 85260 85440 87220 90335 90944 94080 97440 99680 103240 104664 108402 113680 119616 123888 126469 129920 130830 136416 139552 144536 149520 154860 165184 170520 170880 174440 180670 181888 194880 199360 206480 209328 216804 227360 239232 247776 252938 261660 271005 272832 279104 289072 299040 309720 330368 341040 348880 361340 379407 389760 398720 412960 418656 433608 454720 495552 505876 523320 542010 545664 558208 578144 598080 619440 632345 682080 697760 722680 758814 825920 837312 867216 909440 991104 1011752 1046640 1084020 1156288 1196160 1238880 1264690 1364160 1395520 1445360 1517628 1651840 1674624 1734432 1897035 2023504 2093280 2168040 2312576 2477760 2529380 2728320 2791040 2890720 3035256 3468864 3794070 4047008 4186560 4336080 4955520 5058760 5781440 6070512 6937728 7588140 8094016 8373120 8672160 10117520 11562880 12141024 15176280 16188032 17344320 20235040 24282048 30352560 34688640 40470080 48564096 60705120 80940160 121410240 242820480
- Sum of all divisors σ(n): 941868000
- Sum of proper divisors (its aliquot sum) s(n): 699047520
- 242820480 is an abundant number, because the sum of its proper divisors (699047520) is greater than itself. Its abundance is 456227040
Bases of 242820480
- Binary: 11100111100100100101100000002
- Hexadecimal: 0xE792580
- Base-36: 40KHHC
Squares and roots of 242820480
- 242820480 squared (2428204802) is 58961785507430400
- 242820480 cubed (2428204803) is 14317129058571293294592000
-
The
square root of 242820480 is 15582.6980975697 -
The
cube root of 242820480 is 623.8714396557
Scales and comparisons
How big is 242820480?- 242,820,480 seconds is equal to 7 years, 37 weeks, 3 days, 10 hours, 8 minutes.
-
To count from 1 to 242,820,480 would take you about eleven 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 242820480 cubic inches would be around 52 feet tall.
Recreational maths with 242820480
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