31142146828800000
31,142,146,828,800,000 is an even composite number composed of five prime numbers multiplied together.
31142146828800000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred seventy-two divisors.
Prime factorization of 31142146828800000:
212 × 3 × 55 × 7 × 415
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 41 × 41 × 41 × 41 × 41)See below for interesting mathematical facts about the number 31142146828800000 from the Numbermatics database.
Names of 31142146828800000
- Cardinal: 31142146828800000 can be written as Thirty-one quadrillion, one hundred forty-two trillion, one hundred forty-six billion, eight hundred twenty-eight million, eight hundred thousand.
Scientific notation
- Scientific notation: 3.11421468288 × 1016
Factors of 31142146828800000
Divisors of 31142146828800000
- Number of divisors d(n): 1872
-
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 41 42 48 50 56 60 64 70 75 80 82 84 96 100 105 112 120 123 125 128 140 150 160 164 168 175 192 200 205 210 224 240 246 250 256 280 287 300 320 328 336 350 375 384 400 410 420 448 480 492 500 512 525 560 574 600 615 625 640 656 672 700 750 768 800 820 840 861 875 896 960 984 1000 1024 1025 1050 1120 1148 1200 1230 1250 1280 1312 1344 1400 1435 1500 1536 1600 1640 1680 1681 1722 1750 1792 1875 1920 1968 2000 2048 2050 2100 2240 2296 2400 2460 2500 2560 2624 2625 2688 2800 2870 3000 3072 3075 3125 3200 3280 3360 3362 3444 3500 3584 3750 3840 3936 4000 4096 4100 4200 4305 4375 4480 4592 4800 4920 5000 5043 5120 5125 5248 5250 5376 5600 5740 6000 6144 6150 6250 6400 6560 6720 6724 6888 7000 7168 7175 7500 7680 7872 8000 8200 8400 8405 8610 8750 8960 9184 9375 9600 9840 10000 10086 10240 10250 10496 10500 10752 11200 11480 11767 12000 12288 12300 12500 12800 13120 13125 13440 13448 13776 14000 14336 14350 15000 15360 15375 15744 16000 16400 16800 16810 17220 17500 17920 18368 18750 19200 19680 20000 20172 20480 20500 20992 21000 21504 21525 21875 22400 22960 23534 24000 24600 25000 25215 25600 25625 26240 26250 26880 26896 27552 28000 28672 28700 30000 30720 30750 31488 32000 32800 33600 33620 34440 35000 35301 35840 35875 36736 37500 38400 39360 40000 40344 41000 41984 42000 42025 43008 43050 43750 44800 45920 47068 48000 49200 50000 50430 51200 51250 52480 52500 53760 53792 55104 56000 57400 58835 60000 61440 61500 62976 64000 65600 65625 67200 67240 68880 68921 70000 70602 71680 71750 73472 75000 76800 76875 78720 80000 80688 82000 83968 84000 84050 86016 86100 87500 89600 91840 94136 96000 98400 100000 100860 102400 102500 104960 105000 107520 107584 107625 110208 112000 114800 117670 120000 123000 125952 126075 128000 128125 131200 131250 134400 134480 137760 137842 140000 141204 143360 143500 146944 150000 153600 153750 157440 160000 161376 164000 167936 168000 168100 172200 175000 176505 179200 179375 183680 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1038071560960000 1112219529600000 1245685873152000 1297589451200000 1482959372800000 1557107341440000 1946384176800000 2076143121920000 2224439059200000 2595178902400000 3114214682880000 3892768353600000 4448878118400000 5190357804800000 6228429365760000 7785536707200000 10380715609600000 15571073414400000 31142146828800000
- Sum of all divisors σ(n): 121580042847484032
- Sum of proper divisors (its aliquot sum) s(n): 90437896018684032
- 31142146828800000 is an abundant number, because the sum of its proper divisors (90437896018684032) is greater than itself. Its abundance is 59295749189884032
Bases of 31142146828800000
- Binary: 11011101010001110011110000101110100011000010000000000002
- Hexadecimal: 0x6EA39E17461000
- Base-36: 8IMYWQZGPHC
Squares and roots of 31142146828800000
- 31142146828800000 squared (311421468288000002) is 969833309106537896509440000000000
- 31142146828800000 cubed (311421468288000003) is 30202691311656779315128479485263872000000000000000
-
The
square root of 31142146828800000 is 176471376.7974852063 -
The
cube root of 31142146828800000 is 314617.4808483033
Scales and comparisons
How big is 31142146828800000?- 31,142,146,828,800,000 seconds is equal to 990,223,940 years, 8 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 31,142,146,828,800,000 would take you about two billion, nine hundred seventy million, six hundred seventy-one thousand, eight hundred 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 31142146828800000 cubic inches would be around 26218.1 feet tall.
Recreational maths with 31142146828800000
- 31142146828800000 backwards is 00000882864124113
- 31142146828800000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 31142146828800000's digits is 48
- More coming soon!
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The information we have on file for 31142146828800000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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