21828991968000
21,828,991,968,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 21828991968000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2880 divisors.
21828991968000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 21828991968000:
28 × 34 × 53 × 73 × 43 × 571
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 43 × 571)See below for interesting mathematical facts about the number 21828991968000 from the Numbermatics database.
Names of 21828991968000
- Cardinal: 21828991968000 can be written as Twenty-one trillion, eight hundred twenty-eight billion, nine hundred ninety-one million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 2.1828991968 × 1013
Factors of 21828991968000
Divisors of 21828991968000
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 43 45 48 49 50 54 56 60 63 64 70 72 75 80 81 84 86 90 96 98 100 105 108 112 120 125 126 128 129 135 140 144 147 150 160 162 168 172 175 180 189 192 196 200 210 215 216 224 225 240 245 250 252 256 258 270 280 288 294 300 301 315 320 324 336 343 344 350 360 375 378 384 387 392 400 405 420 430 432 441 448 450 480 490 500 504 516 525 540 560 567 571 576 588 600 602 630 640 645 648 672 675 686 688 700 720 735 750 756 768 774 784 800 810 840 860 864 875 882 896 900 903 945 960 980 1000 1008 1029 1032 1050 1075 1080 1120 1125 1134 1142 1152 1161 1176 1200 1204 1225 1260 1280 1290 1296 1323 1344 1350 1372 1376 1400 1440 1470 1500 1505 1512 1548 1568 1575 1600 1620 1680 1713 1715 1720 1728 1750 1764 1792 1800 1806 1890 1920 1935 1960 2000 2016 2025 2058 2064 2100 2107 2150 2160 2205 2240 2250 2268 2284 2304 2322 2352 2400 2408 2450 2520 2580 2592 2625 2646 2688 2700 2709 2744 2752 2800 2835 2855 2880 2940 3000 3010 3024 3087 3096 3136 3150 3200 3225 3240 3360 3375 3426 3430 3440 3456 3483 3500 3528 3600 3612 3675 3780 3840 3870 3920 3969 3997 4000 4032 4050 4116 4128 4200 4214 4300 4320 4410 4480 4500 4515 4536 4568 4644 4704 4725 4800 4816 4900 5040 5139 5145 5160 5184 5250 5292 5375 5376 5400 5418 5488 5504 5600 5670 5710 5760 5805 5880 6000 6020 6048 6125 6174 6192 6272 6300 6321 6400 6450 6480 6615 6720 6750 6852 6860 6880 6912 6966 7000 7056 7200 7224 7350 7525 7560 7740 7840 7875 7938 7994 8000 8064 8100 8127 8232 8256 8400 8428 8565 8575 8600 8640 8820 8960 9000 9030 9072 9136 9261 9288 9408 9450 9600 9632 9675 9800 10080 10125 10278 10290 10320 10368 10500 10535 10584 10750 10800 10836 10976 11008 11025 11200 11340 11420 11520 11610 11760 11991 12000 12040 12096 12250 12348 12384 12544 12600 12642 12900 12960 13230 13440 13500 13545 13704 13720 13760 13932 14000 14112 14175 14275 14400 14448 14700 14749 15050 15120 15417 15435 15480 15680 15750 15876 15988 16000 16125 16128 16200 16254 16464 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4061207808 4124904000 4157903232 4210839500 4230424800 4242758400 4247712000 4331149200 4454896320 4532598000 4547706660 4619892480 4640517000 4700472000 4778676000 4812388000 4834771200 4850887104 4872542850 4949884800 5053007400 5076509760 5180112000 5197379040 5288031000 5303448000 5389874560 5413936500 5457247992 5461344000 5499872000 5568620400 5640566400 5684633325 5774865600 5939861760 6043464000 6063608880 6187356000 6236854848 6267296000 6316259250 6345637200 6364137600 6371568000 6467849472 6496723800 6737343200 6768679680 6821559990 6929838720 6960775500 7050708000 7071264000 7218582000 7252156800 7276330656 7424827200 7579511100 7645881600 7699820800 7796068560 7932046500 7955172000 8057952000 8084811840 8120904750 8249808000 8315806464 8421679000 8460849600 8662298400 8909792640 9065196000 9095413320 9281034000 9400944000 9474388875 9557352000 9624776000 9701774208 9745085700 9899769600 10106014800 10153019520 10360224000 10394758080 10576062000 10606896000 10779749120 10827873000 10914495984 11137240800 11281132800 11369266650 11549731200 12086928000 12127217760 12181357125 12374712000 12473709696 12632518500 12691274400 12728275200 12743136000 12993447600 13474686400 13643119980 13859677440 13921551000 14101416000 14437164000 14504313600 14552661312 14849654400 15159022200 15592137120 15864093000 15910344000 16169623680 16241809500 16499616000 16843358000 16921699200 17053899975 17324596800 17819585280 18130392000 18190826640 18562068000 18801888000 18948777750 19114704000 19249552000 19403548416 19490171400 20212029600 20306039040 20789516160 21152124000 21213792000 21655746000 21828991968 22274481600 22738533300 23099462400 24173856000 24254435520 24362714250 24749424000 24947419392 25265037000 25382548800 25986895200 26949372800 27286239960 27843102000 28202832000 28423166625 28874328000 29105322624 29699308800 30318044400 31184274240 31728186000 31820688000 32339247360 32483619000 33686716000 33843398400 34107799950 34649193600 36260784000 36381653280 37124136000 37897555500 38229408000 38499104000 38980342800 40424059200 41579032320 42304248000 43311492000 43657983936 44548963200 45477066600 48508871040 48725428500 49498848000 50530074000 50765097600 51973790400 53898745600 54572479920 55686204000 56405664000 56846333250 57748656000 58210645248 60636088800 62368548480 63456372000 63641376000 64967238000 67373432000 68215599900 69298387200 72521568000 72763306560 74248272000 75795111000 77960685600 80848118400 84608496000 85269499875 86622984000 87315967872 89097926400 90954133200 97017742080 97450857000 101060148000 101530195200 103947580800 109144959840 111372408000 113692666500 115497312000 121272177600 124737096960 126912744000 129934476000 134746864000 136431199800 145526613120 148496544000 151590222000 155921371200 161696236800 169216992000 170538999750 173245968000 174631935744 181908266400 194901714000 202120296000 207895161600 218289919680 222744816000 227385333000 242544355200 253825488000 259868952000 269493728000 272862399600 291053226240 303180444000 311842742400 341077999500 346491936000 363816532800 389803428000 404240592000 436579839360 445489632000 454770666000 485088710400 507650976000 519737904000 545724799200 606360888000 623685484800 682155999000 727633065600 779606856000 808481184000 873159678720 909541332000 1039475808000 1091449598400 1212721776000 1364311998000 1455266131200 1559213712000 1819082664000 2182899196800 2425443552000 2728623996000 3118427424000 3638165328000 4365798393600 5457247992000 7276330656000 10914495984000 21828991968000
- Sum of all divisors σ(n): 97104546739200
- Sum of proper divisors (its aliquot sum) s(n): 75275554771200
- 21828991968000 is an abundant number, because the sum of its proper divisors (75275554771200) is greater than itself. Its abundance is 53446562803200
Bases of 21828991968000
- Binary: 1001111011010011101010100111111100011000000002
- Hexadecimal: 0x13DA754FE300
- Base-36: 7QK3M7K00
Squares and roots of 21828991968000
- 21828991968000 squared (218289919680002) is 476504890339008513024000000
- 21828991968000 cubed (218289919680003) is 10401621423922937627884519391232000000000
-
The
square root of 21828991968000 is 4672150.6790770351 -
The
cube root of 21828991968000 is 27947.6026749845
Scales and comparisons
How big is 21828991968000?- 21,828,991,968,000 seconds is equal to 694,094 years, 22 weeks.
-
To count from 1 to 21,828,991,968,000 would take you about one million, seven hundred thirty-five thousand, two hundred thirty-six 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 21828991968000 cubic inches would be around 2329 feet tall.
Recreational maths with 21828991968000
- 21828991968000 backwards is 00086919982812
- 21828991968000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 21828991968000's digits is 63
- More coming soon!
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The information we have on file for 21828991968000 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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