42748516564992000
42,748,516,564,992,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42748516564992000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3840 divisors.
42748516564992000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 42748516564992000:
219 × 33 × 53 × 72 × 793
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 79 × 79 × 79)See below for interesting mathematical facts about the number 42748516564992000 from the Numbermatics database.
Names of 42748516564992000
- Cardinal: 42748516564992000 can be written as Forty-two quadrillion, seven hundred forty-eight trillion, five hundred sixteen billion, five hundred sixty-four million, nine hundred ninety-two thousand.
Scientific notation
- Scientific notation: 4.2748516564992 × 1016
Factors of 42748516564992000
Divisors of 42748516564992000
- Number of divisors d(n): 3840
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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 45 48 49 50 54 56 60 63 64 70 72 75 79 80 84 90 96 98 100 105 108 112 120 125 126 128 135 140 144 147 150 158 160 168 175 180 189 192 196 200 210 216 224 225 237 240 245 250 252 256 270 280 288 294 300 315 316 320 336 350 360 375 378 384 392 395 400 420 432 441 448 450 474 480 490 500 504 512 525 540 553 560 576 588 600 630 632 640 672 675 700 711 720 735 750 756 768 784 790 800 840 864 875 882 896 900 945 948 960 980 1000 1008 1024 1050 1080 1106 1120 1125 1152 1176 1185 1200 1225 1260 1264 1280 1323 1344 1350 1400 1422 1440 1470 1500 1512 1536 1568 1575 1580 1600 1659 1680 1728 1750 1764 1792 1800 1890 1896 1920 1960 1975 2000 2016 2048 2100 2133 2160 2205 2212 2240 2250 2304 2352 2370 2400 2450 2520 2528 2560 2625 2646 2688 2700 2765 2800 2844 2880 2940 3000 3024 3072 3136 3150 3160 3200 3318 3360 3375 3456 3500 3528 3555 3584 3600 3675 3780 3792 3840 3871 3920 3950 4000 4032 4096 4200 4266 4320 4410 4424 4480 4500 4608 4704 4725 4740 4800 4900 4977 5040 5056 5120 5250 5292 5376 5400 5530 5600 5688 5760 5880 5925 6000 6048 6125 6144 6241 6272 6300 6320 6400 6615 6636 6720 6750 6912 7000 7056 7110 7168 7200 7350 7560 7584 7680 7742 7840 7875 7900 8000 8064 8192 8295 8400 8532 8640 8820 8848 8960 9000 9216 9408 9450 9480 9600 9800 9875 9954 10080 10112 10240 10500 10584 10665 10752 10800 11025 11060 11200 11376 11520 11613 11760 11850 12000 12096 12250 12288 12482 12544 12600 12640 12800 13230 13272 13440 13500 13824 13825 14000 14112 14220 14336 14400 14700 14931 15120 15168 15360 15484 15680 15750 15800 16000 16128 16384 16590 16800 17064 17280 17640 17696 17775 17920 18000 18375 18432 18723 18816 18900 18960 19200 19355 19600 19750 19908 20160 20224 20480 21000 21168 21330 21504 21600 22050 22120 22400 22752 23040 23226 23520 23625 23700 24000 24192 24500 24576 24885 24964 25088 25200 25280 25600 26460 26544 26880 27000 27648 27650 28000 28224 28440 28672 28800 29400 29625 29862 30240 30336 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436209352704000 445297047552000 474983517388800 508910911488000 534356457062400 541120462848000 569980220866560 593729396736000 610693093785600 667945571328000 678547881984000 712475276083200 763366367232000 791639195648000 854970331299840 872418705408000 890594095104000 949967034777600 1017821822976000 1068712914124800 1187458793472000 1221386187571200 1335891142656000 1424950552166400 1526732734464000 1583278391296000 1709940662599680 1781188190208000 2035643645952000 2137425828249600 2374917586944000 2671782285312000 2849901104332800 3053465468928000 3562376380416000 4274851656499200 4749835173888000 5343564570624000 6106930937856000 7124752760832000 8549703312998400 10687129141248000 14249505521664000 21374258282496000 42748516564992000
- Sum of all divisors σ(n): 186239885420160000
- Sum of proper divisors (its aliquot sum) s(n): 143491368855168000
- 42748516564992000 is an abundant number, because the sum of its proper divisors (143491368855168000) is greater than itself. Its abundance is 100742852290176000
Bases of 42748516564992000
- Binary: 100101111101111110001100101000001000100000000000000000002
- Hexadecimal: 0x97DF8CA0880000
- Base-36: BOX31ECT1C0
Squares and roots of 42748516564992000
- 42748516564992000 squared (427485165649920002) is 1827435668507395422959960064000000
- 42748516564992000 cubed (427485165649920003) is 78120163946645622578060974964258780479488000000000
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The
square root of 42748516564992000 is 206757143.9273429313 -
The
cube root of 42748516564992000 is 349655.4883897125
Scales and comparisons
How big is 42748516564992000?- 42,748,516,564,992,000 seconds is equal to 1,359,270,596 years, 48 weeks.
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To count from 1 to 42,748,516,564,992,000 would take you about four billion, seventy-seven million, eight hundred eleven thousand, seven hundred ninety 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 42748516564992000 cubic inches would be around 29138 feet tall.
Recreational maths with 42748516564992000
- 42748516564992000 backwards is 00029946561584724
- 42748516564992000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42748516564992000's digits is 72
- More coming soon!
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The information we have on file for 42748516564992000 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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