2142807683328000
2,142,807,683,328,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 2142807683328000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
2142807683328000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 2142807683328000:
211 × 32 × 53 × 13 × 17 × 2609 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 17 × 2609 × 1613)See below for interesting mathematical facts about the number 2142807683328000 from the Numbermatics database.
Names of 2142807683328000
- Cardinal: 2142807683328000 can be written as Two quadrillion, one hundred forty-two trillion, eight hundred seven billion, six hundred eighty-three million, three hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 2.142807683328 × 1015
Factors of 2142807683328000
Divisors of 2142807683328000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 30 32 34 36 39 40 45 48 50 51 52 60 64 65 68 72 75 78 80 85 90 96 100 102 104 117 120 125 128 130 136 144 150 153 156 160 170 180 192 195 200 204 208 221 225 234 240 250 255 256 260 272 288 300 306 312 320 325 340 360 375 384 390 400 408 416 425 442 450 468 480 500 510 512 520 544 576 585 600 612 624 640 650 663 680 720 750 765 768 780 800 816 832 850 884 900 936 960 975 1000 1020 1024 1040 1088 1105 1125 1152 1170 1200 1224 1248 1275 1280 1300 1326 1360 1440 1500 1530 1536 1560 1600 1613 1625 1632 1664 1700 1768 1800 1872 1920 1950 1989 2000 2040 2048 2080 2125 2176 2210 2250 2304 2340 2400 2448 2496 2550 2560 2600 2609 2652 2720 2880 2925 3000 3060 3072 3120 3200 3226 3250 3264 3315 3328 3400 3536 3600 3744 3825 3840 3900 3978 4000 4080 4160 4250 4352 4420 4500 4608 4680 4800 4839 4875 4896 4992 5100 5120 5200 5218 5304 5440 5525 5760 5850 6000 6120 6144 6240 6375 6400 6452 6500 6528 6630 6656 6800 7072 7200 7488 7650 7680 7800 7827 7956 8000 8065 8160 8320 8500 8704 8840 9000 9216 9360 9600 9678 9750 9792 9945 9984 10200 10240 10400 10436 10608 10880 11050 11520 11700 12000 12240 12480 12750 12800 12904 13000 13045 13056 13260 13312 13600 14144 14400 14517 14625 14976 15300 15360 15600 15654 15912 16000 16130 16320 16575 16640 17000 17408 17680 18000 18432 18720 19125 19200 19356 19500 19584 19890 19968 20400 20800 20872 20969 21216 21760 22100 23040 23400 23481 24000 24195 24480 24960 25500 25600 25808 26000 26090 26112 26520 26624 27200 27421 27625 28288 28800 29034 29250 29952 30600 30720 31200 31308 31824 32000 32260 32640 33150 33280 33917 34000 34816 35360 36000 37440 38250 38400 38712 39000 39135 39168 39780 39936 40325 40800 41600 41744 41938 42432 43520 44200 44353 46080 46800 46962 48000 48390 48960 49725 49920 51000 51200 51616 52000 52180 52224 53040 54400 54842 55250 56576 57600 58068 58500 59904 61200 62400 62616 62907 63648 64000 64520 65225 65280 66300 66560 67834 68000 70720 72000 72585 74880 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6302375539200 6593254410240 6696274010400 6867973344000 7002639488000 7142692277760 7440304456000 7877969424000 8241568012800 8370342513000 8403167385600 8571230733312 8928365347200 9157297792000 9523589703680 9695962368000 10301960016000 10503959232000 10714038416640 10988757350400 11160456684000 11904487129600 12604751078400 13392548020800 13735946688000 14005278976000 14285384555520 14880608912000 15755938848000 16483136025600 16740685026000 17142461466624 17856730694400 18314595584000 20603920032000 21007918464000 21428076833280 22320913368000 23808974259200 25209502156800 26785096041600 27471893376000 28570769111040 29761217824000 31511877696000 32966272051200 33481370052000 35713461388800 41207840064000 42015836928000 42856153666560 44641826736000 47617948518400 53570192083200 54943786752000 59522435648000 63023755392000 66962740104000 71426922777600 82415680128000 85712307333120 89283653472000 107140384166400 119044871296000 126047510784000 133925480208000 142853845555200 164831360256000 178567306944000 214280768332800 238089742592000 267850960416000 357134613888000 428561536665600 535701920832000 714269227776000 1071403841664000 2142807683328000
- Sum of all divisors σ(n): 8815895533972800
- Sum of proper divisors (its aliquot sum) s(n): 6673087850644800
- 2142807683328000 is an abundant number, because the sum of its proper divisors (6673087850644800) is greater than itself. Its abundance is 4530280167316800
Bases of 2142807683328000
- Binary: 1111001110011011111010010101100100101101000000000002
- Hexadecimal: 0x79CDF4AC96800
- Base-36: L3K89CZY80
Squares and roots of 2142807683328000
- 2142807683328000 squared (21428076833280002) is 4591624767729510329155584000000
- 2142807683328000 cubed (21428076833280003) is 9838968831249938122957723685514903552000000000
-
The
square root of 2142807683328000 is 46290470.7615725161 -
The
cube root of 2142807683328000 is 128922.2070342983
Scales and comparisons
How big is 2142807683328000?- 2,142,807,683,328,000 seconds is equal to 68,134,656 years, 9 weeks, 6 days, 8 hours.
-
To count from 1 to 2,142,807,683,328,000 would take you about two hundred four million, four hundred three thousand, nine hundred sixty-eight 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 2142807683328000 cubic inches would be around 10743.5 feet tall.
Recreational maths with 2142807683328000
- 2142807683328000 backwards is 0008233867082412
- The number of decimal digits it has is: 16
- The sum of 2142807683328000's digits is 54
- More coming soon!
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The information we have on file for 2142807683328000 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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