420211200
420,211,200 is an even composite number composed of five prime numbers multiplied together.
420211200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 420211200:
29 × 3 × 52 × 31 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 31 × 353)See below for interesting mathematical facts about the number 420211200 from the Numbermatics database.
Names of 420211200
- Cardinal: 420211200 can be written as Four hundred twenty million, two hundred eleven thousand, two hundred.
Scientific notation
- Scientific notation: 4.202112 × 108
Factors of 420211200
Divisors of 420211200
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 64 75 80 93 96 100 120 124 128 150 155 160 186 192 200 240 248 256 300 310 320 353 372 384 400 465 480 496 512 600 620 640 706 744 768 775 800 930 960 992 1059 1200 1240 1280 1412 1488 1536 1550 1600 1765 1860 1920 1984 2118 2325 2400 2480 2560 2824 2976 3100 3200 3530 3720 3840 3968 4236 4650 4800 4960 5295 5648 5952 6200 6400 7060 7440 7680 7936 8472 8825 9300 9600 9920 10590 10943 11296 11904 12400 12800 14120 14880 15872 16944 17650 18600 19200 19840 21180 21886 22592 23808 24800 26475 28240 29760 32829 33888 35300 37200 38400 39680 42360 43772 45184 47616 49600 52950 54715 56480 59520 65658 67776 70600 74400 79360 84720 87544 90368 99200 105900 109430 112960 119040 131316 135552 141200 148800 164145 169440 175088 180736 198400 211800 218860 225920 238080 262632 271104 273575 282400 297600 328290 338880 350176 396800 423600 437720 451840 525264 542208 547150 564800 595200 656580 677760 700352 820725 847200 875440 903680 1050528 1094300 1129600 1190400 1313160 1355520 1400704 1641450 1694400 1750880 2101056 2188600 2259200 2626320 2711040 2801408 3282900 3388800 3501760 4202112 4377200 4518400 5252640 5602816 6565800 6777600 7003520 8404224 8754400 10505280 13131600 13555200 14007040 16808448 17508800 21010560 26263200 28014080 35017600 42021120 52526400 70035200 84042240 105052800 140070400 210105600 420211200
- Sum of all divisors σ(n): 1436979456
- Sum of proper divisors (its aliquot sum) s(n): 1016768256
- 420211200 is an abundant number, because the sum of its proper divisors (1016768256) is greater than itself. Its abundance is 596557056
Bases of 420211200
- Binary: 110010000101111101010000000002
- Hexadecimal: 0x190BEA00
- Base-36: 6Y6L1C
Squares and roots of 420211200
- 420211200 squared (4202112002) is 176577452605440000
- 420211200 cubed (4202112003) is 74199823252275068928000000
-
The
square root of 420211200 is 20499.0536366927 -
The
cube root of 420211200 is 749.0127454527
Scales and comparisons
How big is 420211200?- 420,211,200 seconds is equal to 13 years, 18 weeks, 5 days, 13 hours, 20 minutes.
-
To count from 1 to 420,211,200 would take you about twenty 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 420211200 cubic inches would be around 62.4 feet tall.
Recreational maths with 420211200
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