442145189200
442,145,189,200 is an even composite number composed of six prime numbers multiplied together.
442145189200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 442145189200:
24 × 52 × 11 × 13 × 3023 × 2557
(2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 3023 × 2557)See below for interesting mathematical facts about the number 442145189200 from the Numbermatics database.
Names of 442145189200
- Cardinal: 442145189200 can be written as Four hundred forty-two billion, one hundred forty-five million, one hundred eighty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 4.421451892 × 1011
Factors of 442145189200
Divisors of 442145189200
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 40 44 50 52 55 65 80 88 100 104 110 130 143 176 200 208 220 260 275 286 325 400 440 520 550 572 650 715 880 1040 1100 1144 1300 1430 2200 2288 2557 2600 2860 3023 3575 4400 5114 5200 5720 6046 7150 10228 11440 12092 12785 14300 15115 20456 24184 25570 28127 28600 30230 33241 33253 39299 40912 48368 51140 56254 57200 60460 63925 66482 66506 75575 78598 102280 112508 120920 127850 132964 133012 140635 151150 157196 166205 166265 196495 204560 225016 241840 255700 265928 266024 281270 302300 314392 332410 332530 365651 392990 432289 450032 511400 531856 532048 562540 604600 628784 664820 665060 703175 731302 785980 831025 831325 864578 982475 1022800 1125080 1209200 1329640 1330120 1406350 1462604 1571960 1662050 1662650 1729156 1828255 1964950 2161445 2250160 2659280 2660240 2812700 2925208 3143920 3324100 3325300 3458312 3656510 3929900 4322890 5625400 5850416 6648200 6650600 6916624 7313020 7729811 7859800 8645780 9141275 10807225 11250800 13296400 13301200 14626040 15459622 15719600 17291560 18282550 21614450 29252080 30919244 34583120 36565100 38649055 43228900 61838488 73130200 77298110 85027921 86457800 100487543 123676976 146260400 154596220 170055842 172915600 193245275 200975086 309192440 340111684 386490550 401950172 425139605 502437715 618384880 680223368 772981100 803900344 850279210 1004875430 1105362973 1360446736 1545962200 1607800688 1700558420 2009750860 2125698025 2210725946 2512188575 3091924400 3401116840 4019501720 4251396050 4421451892 5024377150 5526814865 6802233680 8039003440 8502792100 8842903784 10048754300 11053629730 17005584200 17685807568 20097508600 22107259460 27634074325 34011168400 40195017200 44214518920 55268148650 88429037840 110536297300 221072594600 442145189200
- Sum of all divisors σ(n): 1248863567616
- Sum of proper divisors (its aliquot sum) s(n): 806718378416
- 442145189200 is an abundant number, because the sum of its proper divisors (806718378416) is greater than itself. Its abundance is 364573189216
Bases of 442145189200
- Binary: 1100110111100011110100000101101010100002
- Hexadecimal: 0x66F1E82D50
- Base-36: 5N49TVF4
Squares and roots of 442145189200
- 442145189200 squared (4421451892002) is 195492368332703796640000
- 442145189200 cubed (4421451892003) is 86436010183619408712951124288000000
-
The
square root of 442145189200 is 664939.9891719553 -
The
cube root of 442145189200 is 7618.2455735473
Scales and comparisons
How big is 442145189200?- 442,145,189,200 seconds is equal to 14,058 years, 44 weeks, 1 day, 4 hours, 6 minutes, 40 seconds.
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To count from 1 to 442,145,189,200 would take you about twenty-eight thousand, one hundred seventeen 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 442145189200 cubic inches would be around 634.9 feet tall.
Recreational maths with 442145189200
- 442145189200 backwards is 002981541244
- 442145189200 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 442145189200's digits is 40
- More coming soon!
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