213024000
213,024,000 is an even composite number composed of five prime numbers multiplied together.
213024000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 213024000:
28 × 3 × 53 × 7 × 317
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 317)See below for interesting mathematical facts about the number 213024000 from the Numbermatics database.
Names of 213024000
- Cardinal: 213024000 can be written as Two hundred thirteen million, twenty-four thousand.
Scientific notation
- Scientific notation: 2.13024 × 108
Factors of 213024000
Divisors of 213024000
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 125 128 140 150 160 168 175 192 200 210 224 240 250 256 280 300 317 320 336 350 375 384 400 420 448 480 500 525 560 600 634 640 672 700 750 768 800 840 875 896 951 960 1000 1050 1120 1200 1268 1280 1344 1400 1500 1585 1600 1680 1750 1792 1902 1920 2000 2100 2219 2240 2400 2536 2625 2688 2800 3000 3170 3200 3360 3500 3804 3840 4000 4200 4438 4480 4755 4800 5072 5250 5376 5600 6000 6340 6400 6657 6720 7000 7608 7925 8000 8400 8876 8960 9510 9600 10144 10500 11095 11200 12000 12680 13314 13440 14000 15216 15850 16000 16800 17752 19020 19200 20288 21000 22190 22400 23775 24000 25360 26628 26880 28000 30432 31700 32000 33285 33600 35504 38040 39625 40576 42000 44380 44800 47550 48000 50720 53256 55475 56000 60864 63400 66570 67200 71008 76080 79250 81152 84000 88760 95100 96000 101440 106512 110950 112000 118875 121728 126800 133140 134400 142016 152160 158500 166425 168000 177520 190200 202880 213024 221900 224000 237750 243456 253600 266280 277375 284032 304320 317000 332850 336000 355040 380400 405760 426048 443800 475500 507200 532560 554750 568064 608640 634000 665700 672000 710080 760800 832125 852096 887600 951000 1014400 1065120 1109500 1217280 1268000 1331400 1420160 1521600 1664250 1704192 1775200 1902000 2028800 2130240 2219000 2536000 2662800 2840320 3043200 3328500 3550400 3804000 4260480 4438000 5072000 5325600 6086400 6657000 7100800 7608000 8520960 8876000 10144000 10651200 13314000 14201600 15216000 17752000 21302400 26628000 30432000 35504000 42604800 53256000 71008000 106512000 213024000
- Sum of all divisors σ(n): 811190016
- Sum of proper divisors (its aliquot sum) s(n): 598166016
- 213024000 is an abundant number, because the sum of its proper divisors (598166016) is greater than itself. Its abundance is 385142016
Bases of 213024000
- Binary: 11001011001001111101000000002
- Hexadecimal: 0xCB27D00
- Base-36: 3ITUDC
Squares and roots of 213024000
- 213024000 squared (2130240002) is 45379224576000000
- 213024000 cubed (2130240003) is 9666863936077824000000000
-
The
square root of 213024000 is 14595.3417226183 -
The
cube root of 213024000 is 597.2316915351
Scales and comparisons
How big is 213024000?- 213,024,000 seconds is equal to 6 years, 40 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 213,024,000 would take you about ten 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 213024000 cubic inches would be around 49.8 feet tall.
Recreational maths with 213024000
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