42688742342400
42,688,742,342,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 42688742342400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2808 divisors.
42688742342400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eight divisors.
Prime factorization of 42688742342400:
28 × 312 × 52 × 7 × 11 × 163
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 11 × 163)See below for interesting mathematical facts about the number 42688742342400 from the Numbermatics database.
Names of 42688742342400
- Cardinal: 42688742342400 can be written as Forty-two trillion, six hundred eighty-eight billion, seven hundred forty-two million, three hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 4.26887423424 × 1013
Factors of 42688742342400
Divisors of 42688742342400
- Number of divisors d(n): 2808
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 25 27 28 30 32 33 35 36 40 42 44 45 48 50 54 55 56 60 63 64 66 70 72 75 77 80 81 84 88 90 96 99 100 105 108 110 112 120 126 128 132 135 140 144 150 154 160 162 163 165 168 175 176 180 189 192 198 200 210 216 220 224 225 231 240 243 252 256 264 270 275 280 288 297 300 308 315 320 324 326 330 336 350 352 360 378 384 385 396 400 405 420 432 440 448 450 462 480 486 489 495 504 525 528 540 550 560 567 576 594 600 616 630 640 648 652 660 672 675 693 700 704 720 729 756 768 770 792 800 810 815 825 840 864 880 891 896 900 924 945 960 972 978 990 1008 1050 1056 1080 1100 1120 1134 1141 1152 1155 1188 1200 1215 1232 1260 1280 1296 1304 1320 1344 1350 1386 1400 1408 1440 1458 1467 1485 1512 1540 1575 1584 1600 1620 1630 1650 1680 1701 1728 1760 1782 1792 1793 1800 1848 1890 1920 1925 1944 1956 1980 2016 2025 2079 2100 2112 2160 2187 2200 2240 2268 2282 2304 2310 2376 2400 2430 2445 2464 2475 2520 2592 2608 2640 2673 2688 2700 2772 2800 2816 2835 2880 2916 2934 2970 3024 3080 3150 3168 3200 3240 3260 3300 3360 3402 3423 3456 3465 3520 3564 3586 3600 3645 3696 3780 3840 3850 3888 3912 3960 4032 4050 4075 4158 4200 4224 4320 4374 4400 4401 4455 4480 4536 4564 4620 4725 4752 4800 4860 4890 4928 4950 5040 5103 5184 5216 5280 5346 5376 5379 5400 5544 5600 5670 5705 5760 5775 5832 5868 5940 6048 6075 6160 6237 6300 6336 6400 6480 6520 6561 6600 6720 6804 6846 6912 6930 7040 7128 7172 7200 7290 7335 7392 7425 7560 7700 7776 7824 7920 8019 8064 8100 8150 8316 8400 8448 8505 8640 8748 8800 8802 8910 8960 8965 9072 9128 9240 9450 9504 9600 9720 9780 9856 9900 10080 10206 10269 10368 10395 10432 10560 10692 10758 10800 10935 11088 11200 11340 11410 11520 11550 11664 11736 11880 12096 12150 12225 12320 12474 12551 12600 12672 12960 13040 13122 13200 13203 13365 13440 13608 13692 13860 14080 14175 14256 14344 14400 14580 14670 14784 14850 15120 15309 15400 15552 15648 15840 16038 16128 16137 16200 16300 16632 16800 17010 17115 17280 17325 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11293318080 11549984400 11711589120 11857983984 11904278400 11977761600 12127483620 12319983360 12352066650 12471148800 12548131200 12704982840 12935982528 13094706240 13175537760 13340231982 13474981800 13551981696 13859981280 14116647600 14373313920 14549673600 14639486400 14822479980 15057757440 15159354525 15245979408 15399979200 15810645312 15881228550 15970348800 16169978160 16368382800 16469422200 16939977120 17247976704 17324976600 17459608320 17567383680 17786975976 17966642400 18479975040 18528099975 18706723200 18822196800 19057474260 19403973792 19519315200 19763306640 20212472700 20327972544 20533305600 21080860416 21174971400 21559970880 21824510400 21959229600 22175970048 22233719970 22586636160 23099968800 23715967968 23808556800 23821842825 23955523200 24254967240 24704133300 25096262400 25409965680 25871965056 26189412480 26351075520 26680463964 26949963600 27103963392 27719962560 28233295200 28746627840 29099347200 29278972800 29644959960 30318709050 30491958816 30799958400 31621290624 31762457100 32339956320 32736765600 32938844400 33350579955 33879954240 34649953200 35134767360 35573951952 35933284800 36959950080 37056199950 37413446400 37644393600 38114948520 38807947584 39526613280 40424945400 40655945088 42349942800 43119941760 43649020800 43918459200 44467439940 45173272320 46199937600 47431935936 47643685650 47911046400 48509934480 49408266600 50819931360 51743930112 52378824960 52702151040 53360927928 53899927200 55439925120 55584299925 56466590400 58557945600 59289919920 60637418100 60983917632 61599916800 63242581248 63524914200 64679912640 65473531200 65877688800 66701159910 67759908480 69299906400 71147903904 71866569600 74112399900 75288787200 76229897040 77615895168 79053226560 80849890800 81311890176 84699885600 86239883520 87298041600 87836918400 88934879880 92399875200 94863871872 95287371300 97019868960 98816533200 101639862720 105404302080 106721855856 107799854400 110879850240 111168599850 112933180800 118579839840 121274836200 121967835264 127049828400 129359825280 130947062400 131755377600 133402319820 135519816960 138599812800 142295807808 143733139200 148224799800 152459794080 155231790336 158106453120 161699781600 166752899775 169399771200 175673836800 177869759760 184799750400 189727743744 190574742600 194039737920 197633066400 203279725440 213443711712 215599708800 222337199700 225866361600 237159679680 242549672400 243935670528 254099656800 258719650560 261894124800 263510755200 266804639640 277199625600 284591615616 296449599600 304919588160 316212906240 323399563200 333505799550 338799542400 355739519520 381149485200 388079475840 395266132800 406559450880 426887423424 431199417600 444674399400 474319359360 485099344800 508199313600 527021510400 533609279280 554399251200 569183231232 592899199200 609839176320 646799126400 667011599100 677599084800 711479039040 762298970400 776158951680 790532265600 853774846848 889348798800 948638718720 970198689600 1016398627200 1067218558560 1185798398400 1219678352640 1293598252800 1334023198200 1422958078080 1524597940800 1581064531200 1707549693696 1778697597600 1940397379200 2032797254400 2134437117120 2371596796800 2668046396400 2845916156160 3049195881600 3557395195200 3880794758400 4268874234240 4743193593600 5336092792800 6098391763200 7114790390400 8537748468480 10672185585600 14229580780800 21344371171200 42688742342400
- Sum of all divisors σ(n): 198812514601344
- Sum of proper divisors (its aliquot sum) s(n): 156123772258944
- 42688742342400 is an abundant number, because the sum of its proper divisors (156123772258944) is greater than itself. Its abundance is 113435029916544
Bases of 42688742342400
- Binary: 10011011010011001111110101001010111111000000002
- Hexadecimal: 0x26D33F52BF00
- Base-36: F4QXR0000
Squares and roots of 42688742342400
- 42688742342400 squared (426887423424002) is 1822328722775814638837760000
- 42688742342400 cubed (426887423424003) is 77792921309731629635607248835969024000000
-
The
square root of 42688742342400 is 6533662.2458158947 -
The
cube root of 42688742342400 is 34949.2440750869
Scales and comparisons
How big is 42688742342400?- 42,688,742,342,400 seconds is equal to 1,357,369 years, 50 weeks.
-
To count from 1 to 42,688,742,342,400 would take you about three million, three hundred ninety-three thousand, four hundred twenty-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 42688742342400 cubic inches would be around 2912.4 feet tall.
Recreational maths with 42688742342400
- 42688742342400 backwards is 00424324788624
- 42688742342400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42688742342400's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 42688742342400 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 42688742342400 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/42688742342400/
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The information we have on file for 42688742342400 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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