42426485047296000
42,426,485,047,296,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42426485047296000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4704 divisors.
42426485047296000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, seven hundred four divisors.
Prime factorization of 42426485047296000:
220 × 36 × 53 × 7 × 137 × 463
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 137 × 463)See below for interesting mathematical facts about the number 42426485047296000 from the Numbermatics database.
Names of 42426485047296000
- Cardinal: 42426485047296000 can be written as Forty-two quadrillion, four hundred twenty-six trillion, four hundred eighty-five billion, forty-seven million, two hundred ninety-six thousand.
Scientific notation
- Scientific notation: 4.2426485047296 × 1016
Factors of 42426485047296000
Divisors of 42426485047296000
- Number of divisors d(n): 4704
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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 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 125 126 128 135 137 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 240 243 250 252 256 270 274 280 288 300 315 320 324 336 350 360 375 378 384 400 405 411 420 432 448 450 463 480 486 500 504 512 525 540 548 560 567 576 600 630 640 648 672 675 685 700 720 729 750 756 768 800 810 822 840 864 875 896 900 926 945 959 960 972 1000 1008 1024 1050 1080 1096 1120 1125 1134 1152 1200 1215 1233 1260 1280 1296 1344 1350 1370 1389 1400 1440 1458 1500 1512 1536 1575 1600 1620 1644 1680 1701 1728 1750 1792 1800 1852 1890 1918 1920 1944 2000 2016 2025 2048 2055 2100 2160 2192 2240 2250 2268 2304 2315 2400 2430 2466 2520 2560 2592 2625 2688 2700 2740 2778 2800 2835 2877 2880 2916 3000 3024 3072 3150 3200 3240 3241 3288 3360 3375 3402 3425 3456 3500 3584 3600 3645 3699 3704 3780 3836 3840 3888 4000 4032 4050 4096 4110 4167 4200 4320 4384 4480 4500 4536 4608 4630 4725 4795 4800 4860 4932 5040 5103 5120 5184 5250 5376 5400 5480 5556 5600 5670 5754 5760 5832 6000 6048 6075 6144 6165 6300 6400 6480 6482 6576 6720 6750 6804 6850 6912 6945 7000 7168 7200 7290 7398 7408 7560 7672 7680 7776 7875 8000 8064 8100 8192 8220 8334 8400 8505 8631 8640 8768 8960 9000 9072 9216 9260 9450 9590 9600 9720 9723 9864 10080 10125 10206 10240 10275 10368 10500 10752 10800 10960 11097 11112 11200 11340 11508 11520 11575 11664 12000 12096 12150 12288 12330 12501 12600 12800 12960 12964 13152 13440 13500 13608 13700 13824 13890 14000 14175 14336 14385 14400 14580 14796 14816 15120 15344 15360 15552 15750 16000 16128 16200 16205 16384 16440 16668 16800 17010 17125 17262 17280 17536 17920 18000 18144 18225 18432 18495 18520 18900 19180 19200 19440 19446 19728 20160 20250 20412 20480 20550 20736 20835 21000 21504 21600 21920 22194 22224 22400 22680 23016 23040 23150 23328 23625 23975 24000 24192 24300 24576 24660 25002 25200 25515 25600 25893 25920 25928 26304 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36828546048000 37413126144000 37712431153152 37880790220800 38710296576000 39283782451200 40406176235520 41432114304000 42089766912000 42426485047296 43648647168000 44194255257600 44240338944000 44895751372800 45816938496000 47140538941440 47350987776000 48487411482624 49104728064000 50507720294400 51613728768000 52378376601600 53033106309120 55242819072000 56119689216000 56568646729728 58198196224000 58925673676800 60609264353280 61936474521600 62854051921920 63134650368000 65472970752000 66291382886400 67343627059200 70710808412160 73657092096000 74826252288000 75761580441600 77420593152000 78567564902400 80812352471040 82864228608000 84179533824000 84852970094592 87297294336000 88388510515200 91633876992000 94281077882880 94701975552000 98209456128000 101015440588800 103227457536000 104756753203200 106066212618240 110485638144000 112239378432000 113137293459456 117851347353600 121218528706560 126269300736000 130945941504000 132582765772800 134687254118400 141421616824320 147314184192000 151523160883200 154841186304000 157135129804800 165728457216000 168359067648000 169705940189184 174594588672000 176777021030400 188562155765760 189403951104000 196418912256000 202030881177600 212132425236480 220971276288000 224478756864000 235702694707200 242437057413120 252538601472000 261891883008000 265165531545600 282843233648640 294628368384000 303046321766400 309682372608000 314270259609600 331456914432000 336718135296000 339411880378368 353554042060800 378807902208000 392837824512000 404061762355200 424264850472960 441942552576000 471405389414400 505077202944000 523783766016000 530331063091200 565686467297280 589256736768000 606092643532800 662913828864000 673436270592000 707108084121600 757615804416000 785675649024000 848529700945920 883885105152000 942810778828800 1010154405888000 1060662126182400 1178513473536000 1212185287065600 1325827657728000 1414216168243200 1515231608832000 1571351298048000 1697059401891840 1767770210304000 2020308811776000 2121324252364800 2357026947072000 2651655315456000 2828432336486400 3030463217664000 3535540420608000 4242648504729600 4714053894144000 5303310630912000 6060926435328000 7071080841216000 8485297009459200 10606621261824000 14142161682432000 21213242523648000 42426485047296000
- Sum of all divisors σ(n): 183173024368309248
- Sum of proper divisors (its aliquot sum) s(n): 140746539321013248
- 42426485047296000 is an abundant number, because the sum of its proper divisors (140746539321013248) is greater than itself. Its abundance is 98320054273717248
Bases of 42426485047296000
- Binary: 100101101011101010101001110100100101000000000000000000002
- Hexadecimal: 0x96BAA9D2500000
- Base-36: BLQXM5TS000
Squares and roots of 42426485047296000
- 42426485047296000 squared (424264850472960002) is 1800006633468431071356911616000000
- 42426485047296000 cubed (424264850472960003) is 76367954519882002558980856273446251790336000000000
-
The
square root of 42426485047296000 is 205976904.1598984707 -
The
cube root of 42426485047296000 is 348775.2705414559
Scales and comparisons
How big is 42426485047296000?- 42,426,485,047,296,000 seconds is equal to 1,349,030,990 years, 40 weeks.
-
To count from 1 to 42,426,485,047,296,000 would take you about four billion, forty-seven million, ninety-two thousand, nine hundred seventy-two 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 42426485047296000 cubic inches would be around 29064.6 feet tall.
Recreational maths with 42426485047296000
- 42426485047296000 backwards is 00069274058462424
- 42426485047296000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42426485047296000's digits is 63
- More coming soon!
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The information we have on file for 42426485047296000 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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