3968745984000
3,968,745,984,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 3968745984000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2912 divisors.
3968745984000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, nine hundred twelve divisors.
Prime factorization of 3968745984000:
212 × 36 × 53 × 73 × 31
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 31)See below for interesting mathematical facts about the number 3968745984000 from the Numbermatics database.
Names of 3968745984000
- Cardinal: 3968745984000 can be written as Three trillion, nine hundred sixty-eight billion, seven hundred forty-five million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 3.968745984 × 1012
Factors of 3968745984000
Divisors of 3968745984000
- Number of divisors d(n): 2912
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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 31 32 35 36 40 42 45 48 49 50 54 56 60 62 63 64 70 72 75 80 81 84 90 93 96 98 100 105 108 112 120 124 125 126 128 135 140 144 147 150 155 160 162 168 175 180 186 189 192 196 200 210 216 217 224 225 240 243 245 248 250 252 256 270 279 280 288 294 300 310 315 320 324 336 343 350 360 372 375 378 384 392 400 405 420 432 434 441 448 450 465 480 486 490 496 500 504 512 525 540 558 560 567 576 588 600 620 630 640 648 651 672 675 686 700 720 729 735 744 750 756 768 775 784 800 810 837 840 864 868 875 882 896 900 930 945 960 972 980 992 1000 1008 1024 1029 1050 1080 1085 1116 1120 1125 1134 1152 1176 1200 1215 1225 1240 1260 1280 1296 1302 1323 1344 1350 1372 1395 1400 1440 1458 1470 1488 1500 1512 1519 1536 1550 1568 1575 1600 1620 1674 1680 1701 1715 1728 1736 1750 1764 1792 1800 1860 1890 1920 1944 1953 1960 1984 2000 2016 2025 2048 2058 2100 2160 2170 2205 2232 2240 2250 2268 2304 2325 2352 2400 2430 2450 2480 2511 2520 2560 2592 2604 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5062176000 5120962560 5167638000 5249664000 5291661312 5334336000 5399654400 5444096000 5512147200 5669637120 5785344000 5879623680 5905872000 6096384000 6124608000 6201165600 6299596800 6401203200 6614576640 6749568000 6890184000 6999552000 7087046400 7112448000 7349529600 7559516160 7751457000 7874496000 7937491968 8001504000 8099481600 8166144000 8268220800 8534937600 8819435520 8858808000 8999424000 9144576000 9186912000 9449395200 9799372800 9921864960 10124352000 10335276000 10499328000 10583322624 10668672000 11024294400 11339274240 11570688000 11811744000 12249216000 12402331200 12599193600 12802406400 13229153280 13499136000 13780368000 14174092800 14224896000 14699059200 15502914000 15748992000 15874983936 16003008000 16198963200 16332288000 16536441600 17638871040 17717616000 18289152000 18373824000 18898790400 19843729920 20248704000 20670552000 20998656000 21337344000 22048588800 22678548480 23623488000 24498432000 24804662400 25604812800 26458306560 26998272000 27560736000 28348185600 29398118400 31005828000 31497984000 31749967872 32006016000 33072883200 35435232000 36747648000 37797580800 39687459840 40497408000 41341104000 42674688000 44097177600 47246976000 48996864000 49609324800 52916613120 55121472000 56696371200 62011656000 62995968000 64012032000 66145766400 70870464000 73495296000 79374919680 80994816000 82682208000 88194355200 94493952000 99218649600 110242944000 113392742400 124023312000 128024064000 132291532800 141740928000 146990592000 158749839360 165364416000 188987904000 198437299200 220485888000 248046624000 264583065600 283481856000 330728832000 396874598400 440971776000 496093248000 566963712000 661457664000 793749196800 992186496000 1322915328000 1984372992000 3968745984000
- Sum of all divisors σ(n): 17876877158400
- Sum of proper divisors (its aliquot sum) s(n): 13908131174400
- 3968745984000 is an abundant number, because the sum of its proper divisors (13908131174400) is greater than itself. Its abundance is 9939385190400
Bases of 3968745984000
- Binary: 1110011100000010111011000111010000000000002
- Hexadecimal: 0x39C0BB1D000
- Base-36: 1EN7SW000
Squares and roots of 3968745984000
- 3968745984000 squared (39687459840002) is 15750944685516128256000000
- 3968745984000 cubed (39687459840003) is 62511498464848276983228923904000000000
-
The
square root of 3968745984000 is 1992171.1733683931 -
The
cube root of 3968745984000 is 15832.5584880527
Scales and comparisons
How big is 3968745984000?- 3,968,745,984,000 seconds is equal to 126,193 years, 44 weeks.
-
To count from 1 to 3,968,745,984,000 would take you about three hundred fifteen thousand, four hundred eighty-four 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 3968745984000 cubic inches would be around 1319.4 feet tall.
Recreational maths with 3968745984000
- 3968745984000 backwards is 0004895478693
- 3968745984000 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 3968745984000's digits is 63
- More coming soon!
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The information we have on file for 3968745984000 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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