42245280
42,245,280 is an even composite number composed of six prime numbers multiplied together.
42245280 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 42245280:
25 × 33 × 5 × 7 × 11 × 127
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 11 × 127)See below for interesting mathematical facts about the number 42245280 from the Numbermatics database.
Names of 42245280
- Cardinal: 42245280 can be written as Forty-two million, two hundred forty-five thousand, two hundred eighty.
Scientific notation
- Scientific notation: 4.224528 × 107
Factors of 42245280
Divisors of 42245280
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 27 28 30 32 33 35 36 40 42 44 45 48 54 55 56 60 63 66 70 72 77 80 84 88 90 96 99 105 108 110 112 120 126 127 132 135 140 144 154 160 165 168 176 180 189 198 210 216 220 224 231 240 252 254 264 270 280 288 297 308 315 330 336 352 360 378 381 385 396 420 432 440 462 480 495 504 508 528 540 560 594 616 630 635 660 672 693 720 756 762 770 792 840 864 880 889 924 945 990 1008 1016 1056 1080 1120 1143 1155 1188 1232 1260 1270 1320 1386 1397 1440 1485 1512 1524 1540 1584 1680 1760 1778 1848 1890 1905 1980 2016 2032 2079 2160 2286 2310 2376 2464 2520 2540 2640 2667 2772 2794 2970 3024 3048 3080 3168 3360 3429 3465 3556 3696 3780 3810 3960 4064 4158 4191 4320 4445 4572 4620 4752 5040 5080 5280 5334 5544 5588 5715 5940 6048 6096 6160 6858 6930 6985 7112 7392 7560 7620 7920 8001 8316 8382 8890 9144 9240 9504 9779 10080 10160 10395 10668 11088 11176 11430 11880 12192 12320 12573 13335 13716 13860 13970 14224 15120 15240 15840 16002 16632 16764 17145 17780 18288 18480 19558 20320 20790 20955 21336 22176 22352 22860 23760 24003 25146 26670 27432 27720 27940 28448 29337 30240 30480 32004 33264 33528 34290 35560 36576 36960 37719 39116 40005 41580 41910 42672 44704 45720 47520 48006 48895 50292 53340 54864 55440 55880 58674 60960 62865 64008 66528 67056 68580 71120 75438 78232 80010 83160 83820 85344 88011 91440 96012 97790 100584 106680 109728 110880 111760 117348 120015 125730 128016 134112 137160 142240 146685 150876 156464 160020 166320 167640 176022 182880 188595 192024 195580 201168 213360 223520 234696 240030 251460 256032 264033 274320 293370 301752 312928 320040 332640 335280 352044 377190 384048 391160 402336 426720 440055 469392 480060 502920 528066 548640 586740 603504 640080 670560 704088 754380 768096 782320 880110 938784 960120 1005840 1056132 1173480 1207008 1280160 1320165 1408176 1508760 1564640 1760220 1920240 2011680 2112264 2346960 2640330 2816352 3017520 3520440 3840480 4224528 4693920 5280660 6035040 7040880 8449056 10561320 14081760 21122640 42245280
- Sum of all divisors σ(n): 185794560
- Sum of proper divisors (its aliquot sum) s(n): 143549280
- 42245280 is an abundant number, because the sum of its proper divisors (143549280) is greater than itself. Its abundance is 101304000
Bases of 42245280
- Binary: 101000010010011100101000002
- Hexadecimal: 0x2849CA0
- Base-36: P5GO0
Squares and roots of 42245280
- 42245280 squared (422452802) is 1784663682278400
- 42245280 cubed (422452803) is 75393616963682045952000
-
The
square root of 42245280 is 6499.6369129359 -
The
cube root of 42245280 is 348.2780180219
Scales and comparisons
How big is 42245280?- 42,245,280 seconds is equal to 1 year, 17 weeks, 5 days, 22 hours, 48 minutes.
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To count from 1 to 42,245,280 would take you about two 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 42245280 cubic inches would be around 29 feet tall.
Recreational maths with 42245280
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