242638200
242,638,200 is an even composite number composed of five prime numbers multiplied together.
242638200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 242638200:
23 × 33 × 52 × 73 × 131
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 131)See below for interesting mathematical facts about the number 242638200 from the Numbermatics database.
Names of 242638200
- Cardinal: 242638200 can be written as Two hundred forty-two million, six hundred thirty-eight thousand, two hundred.
Scientific notation
- Scientific notation: 2.426382 × 108
Factors of 242638200
Divisors of 242638200
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 27 28 30 35 36 40 42 45 49 50 54 56 60 63 70 72 75 84 90 98 100 105 108 120 126 131 135 140 147 150 168 175 180 189 196 200 210 216 225 245 252 262 270 280 294 300 315 343 350 360 378 392 393 420 441 450 490 504 524 525 540 588 600 630 655 675 686 700 735 756 786 840 882 900 917 945 980 1029 1048 1050 1080 1176 1179 1225 1260 1310 1323 1350 1372 1400 1470 1512 1572 1575 1715 1764 1800 1834 1890 1960 1965 2058 2100 2205 2358 2450 2520 2620 2646 2700 2744 2751 2940 3087 3144 3150 3275 3430 3528 3537 3668 3675 3780 3930 4116 4200 4410 4585 4716 4725 4900 5145 5240 5292 5400 5502 5880 5895 6174 6300 6419 6550 6615 6860 7074 7336 7350 7560 7860 8232 8253 8575 8820 9170 9261 9432 9450 9800 9825 10290 10584 11004 11025 11790 12348 12600 12838 13100 13230 13720 13755 14148 14700 15435 15720 16506 17150 17640 17685 18340 18522 18900 19257 19650 20580 22008 22050 22925 23580 24696 24759 25676 25725 26200 26460 27510 28296 29400 29475 30870 32095 33012 33075 34300 35370 36680 37044 37800 38514 39300 41160 41265 44100 44933 45850 46305 47160 49518 51352 51450 52920 55020 57771 58950 61740 64190 66024 66150 68600 68775 70740 74088 77028 77175 78600 82530 88200 88425 89866 91700 92610 96285 99036 102900 110040 115542 117900 123480 123795 128380 132300 134799 137550 141480 154056 154350 160475 165060 173313 176850 179732 183400 185220 192570 198072 205800 206325 224665 231084 231525 235800 247590 256760 264600 269598 275100 288855 308700 320950 330120 346626 353700 359464 370440 385140 404397 412650 449330 462168 463050 481425 495180 539196 550200 577710 617400 618975 641900 673995 693252 707400 770280 808794 825300 866565 898660 926100 962850 990360 1078392 1123325 1155420 1213191 1237950 1283800 1347990 1386504 1444275 1617588 1650600 1733130 1797320 1852200 1925700 2021985 2246650 2310840 2426382 2475900 2695980 2888550 3235176 3369975 3466260 3851400 4043970 4332825 4493300 4852764 4951800 5391960 5777100 6065955 6739950 6932520 8087940 8665650 8986600 9705528 10109925 11554200 12131910 13479900 16175880 17331300 20219850 24263820 26959800 30329775 34662600 40439700 48527640 60659550 80879400 121319100 242638200
- Sum of all divisors σ(n): 982080000
- Sum of proper divisors (its aliquot sum) s(n): 739441800
- 242638200 is an abundant number, because the sum of its proper divisors (739441800) is greater than itself. Its abundance is 496803600
Bases of 242638200
- Binary: 11100111011001011101011110002
- Hexadecimal: 0xE765D78
- Base-36: 40GKU0
Squares and roots of 242638200
- 242638200 squared (2426382002) is 58873296099240000
- 242638200 cubed (2426382003) is 14284910593586614968000000
-
The
square root of 242638200 is 15576.8482049483 -
The
cube root of 242638200 is 623.7152917155
Scales and comparisons
How big is 242638200?- 242,638,200 seconds is equal to 7 years, 37 weeks, 1 day, 7 hours, 30 minutes.
-
To count from 1 to 242,638,200 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 242638200 cubic inches would be around 52 feet tall.
Recreational maths with 242638200
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