42426518205240000
42,426,518,205,240,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42426518205240000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 4480 divisors.
42426518205240000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of four thousand, four hundred eighty divisors.
Prime factorization of 42426518205240000:
26 × 33 × 54 × 13 × 71 × 151 × 521 × 541
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 71 × 151 × 521 × 541)See below for interesting mathematical facts about the number 42426518205240000 from the Numbermatics database.
Names of 42426518205240000
- Cardinal: 42426518205240000 can be written as Forty-two quadrillion, four hundred twenty-six trillion, five hundred eighteen billion, two hundred five million, two hundred forty thousand.
Scientific notation
- Scientific notation: 4.242651820524 × 1016
Factors of 42426518205240000
Divisors of 42426518205240000
- Number of divisors d(n): 4480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 71 72 75 78 80 90 96 100 104 108 117 120 125 130 135 142 144 150 151 156 160 180 192 195 200 208 213 216 225 234 240 250 260 270 284 288 300 302 312 320 325 351 355 360 375 390 400 416 426 432 450 453 468 480 500 520 521 540 541 568 576 585 600 604 624 625 639 650 675 702 710 720 750 755 780 800 832 852 864 900 906 923 936 960 975 1000 1040 1042 1065 1080 1082 1125 1136 1170 1200 1208 1248 1250 1278 1300 1350 1359 1404 1420 1440 1500 1510 1560 1563 1600 1623 1625 1704 1728 1755 1775 1800 1812 1846 1872 1875 1917 1950 1963 2000 2080 2084 2130 2160 2164 2250 2265 2272 2340 2400 2416 2496 2500 2556 2600 2605 2700 2705 2718 2769 2808 2840 2880 2925 3000 3020 3120 3126 3195 3246 3250 3375 3408 3510 3550 3600 3624 3692 3744 3750 3775 3834 3900 3926 4000 4077 4160 4168 4260 4320 4328 4500 4530 4544 4615 4680 4689 4800 4832 4869 4875 5000 5112 5200 5210 5325 5400 5410 5436 5538 5616 5625 5680 5850 5889 6000 6040 6240 6252 6390 6492 6500 6750 6773 6795 6816 7020 7033 7100 7200 7248 7384 7488 7500 7550 7668 7800 7815 7852 8000 8115 8125 8154 8307 8336 8520 8640 8656 8775 8875 9000 9060 9230 9360 9378 9585 9664 9738 9750 9815 10000 10224 10400 10420 10650 10721 10800 10820 10872 11076 11232 11250 11325 11360 11700 11778 12000 12080 12480 12504 12780 12984 13000 13025 13500 13525 13546 13590 13632 13845 14040 14066 14067 14200 14400 14496 14607 14625 14768 15000 15100 15336 15600 15630 15704 15975 16230 16250 16308 16614 16672 16875 17040 17312 17550 17667 17750 18000 18120 18460 18720 18756 18875 19170 19476 19500 19630 20000 20319 20385 20448 20800 20840 21099 21300 21442 21600 21640 21744 22152 22464 22500 22650 22720 23075 23400 23445 23556 24000 24160 24345 24375 24921 25008 25560 25968 26000 26050 26625 27000 27050 27092 27180 27690 28080 28132 28134 28400 28992 29214 29250 29445 29536 30000 30200 30672 31200 31260 31408 31950 32163 32460 32500 32616 33228 33344 33750 33865 33975 34080 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169706072820960 176777159188500 181309906860000 188562303134400 196419065765000 199185531480000 203973645217500 212132591026200 217571888232000 220971448985625 235702878918000 265165738782750 271964860290000 280970319240000 282843454701600 294628598647500 298778297220000 314270505224000 326357832348000 339412145641920 353554318377000 362619813720000 392838131530000 407947290435000 424265182052400 441942897971250 471405757836000 530331477565500 543929720580000 565686909403200 589257197295000 597556594440000 652715664696000 662914346956875 707108636754000 785676263060000 815894580870000 848530364104800 883885795942500 942811515672000 1060662955131000 1087859441160000 1178514394590000 1325828693913750 1414217273508000 1571352526120000 1631789161740000 1697060728209600 1767771591885000 2121325910262000 2357028789180000 2651657387827500 2828434547016000 3263578323480000 3535543183770000 4242651820524000 4714057578360000 5303314775655000 7071086367540000 8485303641048000 10606629551310000 14142172735080000 21213259102620000 42426518205240000
- Sum of all divisors σ(n): 171984241649848320
- Sum of proper divisors (its aliquot sum) s(n): 129557723444608320
- 42426518205240000 is an abundant number, because the sum of its proper divisors (129557723444608320) is greater than itself. Its abundance is 87131205239368320
Bases of 42426518205240000
- Binary: 100101101011101010110001100010101010111000010010110000002
- Hexadecimal: 0x96BAB18AAE12C0
- Base-36: BLQY1E75TC0
Squares and roots of 42426518205240000
- 42426518205240000 squared (424265182052400002) is 1800009447019561150763457600000000
- 42426518205240000 cubed (424265182052400003) is 76368133573579396421261278191328837824000000000000
-
The
square root of 42426518205240000 is 205976984.6493534819 -
The
cube root of 42426518205240000 is 348775.3614019003
Scales and comparisons
How big is 42426518205240000?- 42,426,518,205,240,000 seconds is equal to 1,349,032,045 years, 4 weeks, 4 days, 12 hours.
-
To count from 1 to 42,426,518,205,240,000 would take you about four billion, forty-seven million, ninety-six thousand, one hundred thirty-five 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 42426518205240000 cubic inches would be around 29064.6 feet tall.
Recreational maths with 42426518205240000
- 42426518205240000 backwards is 00004250281562424
- 42426518205240000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42426518205240000's digits is 45
- More coming soon!
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"Number 42426518205240000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 42426518205240000 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/42426518205240000/
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The information we have on file for 42426518205240000 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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