242113200
242,113,200 is an even composite number composed of seven prime numbers multiplied together.
242113200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 242113200:
24 × 3 × 52 × 7 × 19 × 37 × 41
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 19 × 37 × 41)See below for interesting mathematical facts about the number 242113200 from the Numbermatics database.
Names of 242113200
- Cardinal: 242113200 can be written as Two hundred forty-two million, one hundred thirteen thousand, two hundred.
Scientific notation
- Scientific notation: 2.421132 × 108
Factors of 242113200
Divisors of 242113200
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 25 28 30 35 37 38 40 41 42 48 50 56 57 60 70 74 75 76 80 82 84 95 100 105 111 112 114 120 123 133 140 148 150 152 164 168 175 185 190 200 205 210 222 228 240 246 259 266 280 285 287 296 300 304 328 336 350 370 380 399 400 410 420 444 456 475 492 518 525 532 555 560 570 574 592 600 615 656 665 700 703 740 760 777 779 798 820 840 861 888 912 925 950 984 1025 1036 1050 1064 1110 1140 1148 1200 1230 1295 1330 1400 1406 1425 1435 1480 1517 1520 1554 1558 1596 1640 1680 1722 1776 1850 1900 1968 1995 2050 2072 2100 2109 2128 2220 2280 2296 2337 2460 2590 2660 2775 2800 2812 2850 2870 2960 3034 3075 3108 3116 3192 3280 3325 3444 3515 3700 3800 3885 3895 3990 4100 4144 4200 4218 4305 4440 4551 4560 4592 4674 4920 4921 5180 5320 5453 5550 5624 5700 5740 6068 6150 6216 6232 6384 6475 6650 6888 7030 7175 7400 7585 7600 7770 7790 7980 8200 8400 8436 8610 8880 9102 9348 9840 9842 9975 10360 10545 10619 10640 10906 11100 11248 11400 11480 11685 12136 12300 12432 12464 12950 13300 13776 14060 14350 14763 14800 15170 15540 15580 15960 16359 16400 16872 17220 17575 18204 18696 19425 19475 19684 19950 20720 21090 21238 21525 21812 22200 22755 22800 22960 23370 24272 24600 24605 25900 26600 27265 28120 28700 28823 29526 30340 31080 31160 31857 31920 32718 33744 34440 35150 36408 37392 37925 38850 38950 39368 39900 42180 42476 43050 43624 44400 45510 46740 49200 49210 51800 52725 53095 53200 54530 56240 57400 57646 58425 59052 60680 62160 62320 63714 65436 68880 70300 72816 73815 75850 77700 77900 78736 79800 81795 84360 84952 86100 86469 87248 91020 93480 98420 103600 105450 106190 109060 113775 114800 115292 116850 118104 121360 123025 127428 130872 136325 140600 144115 147630 151700 155400 155800 159285 159600 163590 168720 169904 172200 172938 182040 186960 196840 201761 210900 212380 218120 227550 230584 233700 236208 246050 254856 261744 265475 272650 281200 288230 295260 303400 310800 311600 318570 327180 344400 345876 364080 369075 393680 403522 408975 421800 424760 432345 436240 455100 461168 467400 492100 509712 530950 545300 576460 590520 605283 606800 637140 654360 691752 720575 738150 796425 807044 817950 843600 849520 864690 910200 934800 984200 1008805 1061900 1090600 1152920 1181040 1210566 1274280 1308720 1383504 1441150 1476300 1592850 1614088 1635900 1729380 1820400 1968400 2017610 2123800 2161725 2181200 2305840 2421132 2548560 2882300 2952600 3026415 3185700 3228176 3271800 3458760 4035220 4247600 4323450 4842264 5044025 5764600 5905200 6052830 6371400 6543600 6917520 8070440 8646900 9684528 10088050 11529200 12105660 12742800 15132075 16140880 17293800 20176100 24211320 30264150 34587600 40352200 48422640 60528300 80704400 121056600 242113200
- Sum of all divisors σ(n): 981603840
- Sum of proper divisors (its aliquot sum) s(n): 739490640
- 242113200 is an abundant number, because the sum of its proper divisors (739490640) is greater than itself. Its abundance is 497377440
Bases of 242113200
- Binary: 11100110111001011010101100002
- Hexadecimal: 0xE6E5AB0
- Base-36: 405BQO
Squares and roots of 242113200
- 242113200 squared (2421132002) is 58618801614240000
- 242113200 cubed (2421132003) is 14192385638988811968000000
-
The
square root of 242113200 is 15559.9871465243 -
The
cube root of 242113200 is 623.2651194253
Scales and comparisons
How big is 242113200?- 242,113,200 seconds is equal to 7 years, 36 weeks, 2 days, 5 hours, 40 minutes.
-
To count from 1 to 242,113,200 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 242113200 cubic inches would be around 51.9 feet tall.
Recreational maths with 242113200
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The information we have on file for 242113200 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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