385123200
385,123,200 is an even composite number composed of six prime numbers multiplied together.
385123200 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 385123200:
27 × 3 × 52 × 7 × 11 × 521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 521)See below for interesting mathematical facts about the number 385123200 from the Numbermatics database.
Names of 385123200
- Cardinal: 385123200 can be written as Three hundred eighty-five million, one hundred twenty-three thousand, two hundred.
Scientific notation
- Scientific notation: 3.851232 × 108
Factors of 385123200
Divisors of 385123200
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 50 55 56 60 64 66 70 75 77 80 84 88 96 100 105 110 112 120 128 132 140 150 154 160 165 168 175 176 192 200 210 220 224 231 240 264 275 280 300 308 320 330 336 350 352 384 385 400 420 440 448 462 480 521 525 528 550 560 600 616 640 660 672 700 704 770 800 825 840 880 896 924 960 1042 1050 1056 1100 1120 1155 1200 1232 1320 1344 1400 1408 1540 1563 1600 1650 1680 1760 1848 1920 1925 2084 2100 2112 2200 2240 2310 2400 2464 2605 2640 2688 2800 3080 3126 3200 3300 3360 3520 3647 3696 3850 4168 4200 4224 4400 4480 4620 4800 4928 5210 5280 5600 5731 5775 6160 6252 6600 6720 7040 7294 7392 7700 7815 8336 8400 8800 9240 9600 9856 10420 10560 10941 11200 11462 11550 12320 12504 13025 13200 13440 14588 14784 15400 15630 16672 16800 17193 17600 18235 18480 20840 21120 21882 22400 22924 23100 24640 25008 26050 26400 28655 29176 29568 30800 31260 33344 33600 34386 35200 36470 36960 39075 40117 41680 43764 45848 46200 49280 50016 52100 52800 54705 57310 58352 61600 62520 66688 67200 68772 72940 73920 78150 80234 83360 85965 87528 91175 91696 92400 100032 104200 105600 109410 114620 116704 120351 123200 125040 137544 143275 145880 147840 156300 160468 166720 171930 175056 182350 183392 184800 200064 200585 208400 218820 229240 233408 240702 246400 250080 273525 275088 286550 291760 312600 320936 333440 343860 350112 364700 366784 369600 401170 416800 429825 437640 458480 466816 481404 500160 547050 550176 573100 583520 601755 625200 641872 687720 700224 729400 733568 739200 802340 833600 859650 875280 916960 962808 1000320 1002925 1094100 1100352 1146200 1167040 1203510 1250400 1283744 1375440 1400448 1458800 1604680 1667200 1719300 1750560 1833920 1925616 2005850 2188200 2200704 2292400 2334080 2407020 2500800 2567488 2750880 2917600 3008775 3209360 3438600 3501120 3667840 3851232 4011700 4376400 4584800 4814040 5001600 5134976 5501760 5835200 6017550 6418720 6877200 7002240 7702464 8023400 8752800 9169600 9628080 11003520 11670400 12035100 12837440 13754400 15404928 16046800 17505600 18339200 19256160 24070200 25674880 27508800 32093600 35011200 38512320 48140400 55017600 64187200 77024640 96280800 128374400 192561600 385123200
- Sum of all divisors σ(n): 1584541440
- Sum of proper divisors (its aliquot sum) s(n): 1199418240
- 385123200 is an abundant number, because the sum of its proper divisors (1199418240) is greater than itself. Its abundance is 814295040
Bases of 385123200
- Binary: 101101111010010000011100000002
- Hexadecimal: 0x16F48380
- Base-36: 6DAIYO
Squares and roots of 385123200
- 385123200 squared (3851232002) is 148319879178240000
- 385123200 cubed (3851232003) is 57121426492737159168000000
-
The
square root of 385123200 is 19624.5560459339 -
The
cube root of 385123200 is 727.5562243245
Scales and comparisons
How big is 385123200?- 385,123,200 seconds is equal to 12 years, 12 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 385,123,200 would take you about eighteen 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 385123200 cubic inches would be around 60.6 feet tall.
Recreational maths with 385123200
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