242484840
242,484,840 is an even composite number composed of six prime numbers multiplied together.
242484840 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 242484840:
23 × 35 × 5 × 13 × 19 × 101
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 19 × 101)See below for interesting mathematical facts about the number 242484840 from the Numbermatics database.
Names of 242484840
- Cardinal: 242484840 can be written as Two hundred forty-two million, four hundred eighty-four thousand, eight hundred forty.
Scientific notation
- Scientific notation: 2.4248484 × 108
Factors of 242484840
Divisors of 242484840
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 18 19 20 24 26 27 30 36 38 39 40 45 52 54 57 60 65 72 76 78 81 90 95 101 104 108 114 117 120 130 135 152 156 162 171 180 190 195 202 216 228 234 243 247 260 270 285 303 312 324 342 351 360 380 390 404 405 456 468 486 494 505 513 520 540 570 585 606 648 684 702 741 760 780 808 810 855 909 936 972 988 1010 1026 1053 1080 1140 1170 1212 1215 1235 1313 1368 1404 1482 1515 1539 1560 1620 1710 1755 1818 1919 1944 1976 2020 2052 2106 2223 2280 2340 2424 2430 2470 2565 2626 2727 2808 2964 3030 3078 3159 3240 3420 3510 3636 3705 3838 3939 4040 4104 4212 4446 4545 4617 4680 4860 4940 5130 5252 5265 5454 5757 5928 6060 6156 6318 6565 6669 6840 7020 7272 7410 7676 7695 7878 8181 8424 8892 9090 9234 9595 9720 9880 10260 10504 10530 10908 11115 11514 11817 12120 12312 12636 13130 13338 13635 14040 14820 15352 15390 15756 15795 16362 17271 17784 18180 18468 19190 19695 20007 20520 21060 21816 22230 23028 23085 23634 24543 24947 25272 26260 26676 27270 28785 29640 30780 31512 31590 32724 33345 34542 35451 36360 36936 38380 39390 40014 40905 42120 44460 46056 46170 47268 49086 49894 51813 52520 53352 54540 57570 59085 60021 61560 63180 65448 66690 69084 70902 74841 76760 78780 80028 81810 86355 88920 92340 94536 98172 99788 100035 103626 106353 109080 115140 118170 120042 122715 124735 126360 133380 138168 141804 149682 155439 157560 160056 163620 172710 177255 184680 196344 199576 200070 207252 212706 224523 230280 236340 240084 245430 249470 259065 266760 283608 299364 300105 310878 319059 327240 345420 354510 374205 400140 414504 425412 449046 466317 472680 480168 490860 498940 518130 531765 598728 600210 621756 638118 673569 690840 709020 748410 777195 800280 850824 898092 932634 981720 997880 1036260 1063530 1122615 1200420 1243512 1276236 1347138 1418040 1496820 1554390 1595295 1796184 1865268 2020707 2072520 2127060 2245230 2331585 2400840 2552472 2694276 2993640 3108780 3190590 3367845 3730536 4041414 4254120 4490460 4663170 5388552 6062121 6217560 6381180 6735690 8082828 8980920 9326340 10103535 12124242 12762360 13471380 16165656 18652680 20207070 24248484 26942760 30310605 40414140 48496968 60621210 80828280 121242420 242484840
- Sum of all divisors σ(n): 935625600
- Sum of proper divisors (its aliquot sum) s(n): 693140760
- 242484840 is an abundant number, because the sum of its proper divisors (693140760) is greater than itself. Its abundance is 450655920
Bases of 242484840
- Binary: 11100111010000000110011010002
- Hexadecimal: 0xE740668
- Base-36: 40DAI0
Squares and roots of 242484840
- 242484840 squared (2424848402) is 58798897629825600
- 242484840 cubed (2424848403) is 14257841283944639843904000
-
The
square root of 242484840 is 15571.9247365251 -
The
cube root of 242484840 is 623.5838571533
Scales and comparisons
How big is 242484840?- 242,484,840 seconds is equal to 7 years, 36 weeks, 6 days, 12 hours, 54 minutes.
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To count from 1 to 242,484,840 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 242484840 cubic inches would be around 52 feet tall.
Recreational maths with 242484840
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