42001980602400
42,001,980,602,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 42001980602400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3456 divisors.
42001980602400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 42001980602400:
25 × 37 × 52 × 72 × 133 × 223
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 13 × 13 × 13 × 223)See below for interesting mathematical facts about the number 42001980602400 from the Numbermatics database.
Names of 42001980602400
- Cardinal: 42001980602400 can be written as Forty-two trillion, one billion, nine hundred eighty million, six hundred two thousand, four hundred.
Scientific notation
- Scientific notation: 4.20019806024 × 1013
Factors of 42001980602400
Divisors of 42001980602400
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 49 50 52 54 56 60 63 65 70 72 75 78 80 81 84 90 91 96 98 100 104 105 108 112 117 120 126 130 135 140 144 147 150 156 160 162 168 169 175 180 182 189 195 196 200 208 210 216 223 224 225 234 240 243 245 252 260 270 273 280 288 294 300 312 315 324 325 336 338 350 351 360 364 378 390 392 400 405 416 420 432 441 446 450 455 468 480 486 490 504 507 520 525 540 546 560 567 585 588 600 624 630 637 648 650 669 672 675 676 700 702 720 728 729 735 756 780 784 800 810 819 840 845 864 882 892 900 910 936 945 972 975 980 1008 1014 1040 1050 1053 1080 1092 1115 1120 1134 1170 1176 1183 1200 1215 1225 1248 1260 1274 1296 1300 1323 1338 1350 1352 1365 1400 1404 1440 1456 1458 1470 1512 1521 1560 1561 1568 1575 1620 1638 1680 1690 1701 1755 1764 1784 1800 1820 1872 1890 1911 1944 1950 1960 2007 2016 2025 2028 2080 2100 2106 2160 2184 2187 2197 2205 2230 2268 2275 2340 2352 2366 2400 2430 2450 2457 2520 2535 2548 2592 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2242258200 2243695545 2301226200 2304635424 2307801132 2314923975 2325304800 2354371110 2366975520 2381064660 2389734900 2393275248 2400661900 2414739600 2442117600 2469252240 2485324296 2492995050 2500117893 2511329184 2536045200 2564223480 2588879475 2592714852 2615967900 2637487008 2645627400 2659194720 2690709840 2692434654 2731125600 2743613600 2747382300 2761471440 2777908770 2849137200 2857277592 2880794280 2884751415 2897687520 2958719400 2963102688 2976330825 2989677600 2991594060 3068301600 3077068176 3086565300 3106655370 3139161480 3174752880 3186313200 3205279350 3240893565 3296858760 3313765728 3323993400 3333490524 3363387300 3418964640 3451839300 3456953136 3487957200 3527503200 3550463280 3571596990 3589912872 3600992850 3622109400 3663176400 3703878360 3739492575 3766993776 3809703456 3823575840 3841059040 3843871200 3846335220 3889072278 3923951850 3944959200 3968441100 3988792080 4038651981 4115420400 4121073450 4142207160 4166863155 4185548640 4273705800 4285916388 4321191420 4395811680 4431991200 4438079100 4444654032 4484516400 4487391090 4602452400 4615602264 4629847950 4708742220 4762129320 4779469800 4786550496 4801323800 4807919025 4829479200 4938504480 4970648592 4985990100 5000235786 5072090400 5128446960 5177758950 5185429704 5231935800 5291254800 5357395485 5381419680 5384869308 5401489275 5494764600 5522942880 5555817540 5698274400 5714555184 5761588560 5769502830 5833608417 5885927775 5917438800 5952661650 5983188120 6154136352 6173130600 6213310740 6278322960 6349505760 6372626400 6410558700 6481787130 6593717520 6647986800 6666981048 6726774600 6731086635 6903678600 6913906272 6944771925 6975914400 7100926560 7143193980 7179825744 7201985700 7244218800 7326352800 7407756720 7478985150 7500353679 7533987552 7692670440 7766638425 7778144556 7847903700 7936882200 7977584160 8077303962 8230840800 8242146900 8284414320 8333726310 8547411600 8571832776 8642382840 8876158200 8889308064 8928992475 8969032800 8974782180 9204904800 9231204528 9259695900 9417484440 9524258640 9558939600 9602647600 9615838050 9722680695 9941297184 9971980200 10000471572 10256893920 10355517900 10370859408 10463871600 10582509600 10714790970 10769738616 10802978550 10989529200 11111635080 11218477725 11429110368 11523177120 11539005660 11667216834 11771855550 11834877600 11905323300 11966376240 12346261200 12426621480 12500589465 12556645920 12821117400 12963574260 13187435040 13295973600 13333962096 13453549200 13462173270 13807357200 13889543850 14286387960 14359651488 14403971400 14423757075 14488437600 14815513440 14957970300 15000707358 15385340880 15533276850 15556289112 15695807400 15873764400 16154607924 16204467825 16484293800 16568828640 16667452620 17094823200 17143665552 17284765680 17500825251 17752316400 17857984950 17949564360 18462409056 18519391800 18834968880 19048517280 19117879200 19205295200 19231676100 19445361390 19943960400 20000943144 20193259905 20711035800 20741718816 20834315775 20927743200 21429581940 21539477232 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66669810480 67310866350 70003301004 71431939800 71798257440 74077567200 75003536790 76926704400 77781445560 80003772576 80773039620 82844143200 83337263100 85718327760 86423828400 87504126255 89747821800 92312045280 93337734672 94174844400 95242586400 97226806950 100004715720 100966299525 103708594080 105004951506 107147909700 107697386160 111116350800 115390056600 116672168340 119663762400 120005658864 124266214800 125005894650 129236863392 129635742600 133339620960 134621732700 140006602008 142863879600 145840210425 150007073580 153853408800 155562891120 161546079240 166674526200 171436655520 172847656800 175008252510 179495643600 186675469344 187508841975 188349688800 194453613900 200009431440 201932599050 210009903012 214295819400 215394772320 222232701600 230780113200 233344336680 240011317728 248532429600 250011789300 259271485200 262512378765 269243465400 280013204016 285727759200 291680420850 300014147160 311125782240 323092158480 333349052400 350016505020 358991287200 375017683950 388907227800 400018862880 403865198100 420019806024 428591638800 437520631275 461560226400 466688673360 500023578600 518542970400 525024757530 538486930800 560026408032 583360841700 600028294320 646184316960 666698104800 700033010040 750035367900 777814455600 807730396200 840039612048 857183277600 875041262550 933377346720 1000047157200 1050049515060 1076973861600 1166721683400 1200056588640 1312561893825 1400066020080 1500070735800 1555628911200 1615460792400 1680079224096 1750082525100 2000094314400 2100099030120 2333443366800 2625123787650 2800132040160 3000141471600 3230921584800 3500165050200 4200198060240 4666886733600 5250247575300 6000282943200 7000330100400 8400396120480 10500495150600 14000660200800 21000990301200 42001980602400
- Sum of all divisors σ(n): 194659640985600
- Sum of proper divisors (its aliquot sum) s(n): 152657660383200
- 42001980602400 is an abundant number, because the sum of its proper divisors (152657660383200) is greater than itself. Its abundance is 110655679780800
Bases of 42001980602400
- Binary: 10011000110011010110010010001000111000001000002
- Hexadecimal: 0x263359223820
- Base-36: EVZFYSI00
Squares and roots of 42001980602400
- 42001980602400 squared (420019806024002) is 1764166374524385866885760000
- 42001980602400 cubed (420019806024003) is 74098481842179588706708400016781824000000
-
The
square root of 42001980602400 is 6480893.5033990491 -
The
cube root of 42001980602400 is 34760.8128392215
Scales and comparisons
How big is 42001980602400?- 42,001,980,602,400 seconds is equal to 1,335,533 years, 3 weeks, 1 day, 18 hours.
-
To count from 1 to 42,001,980,602,400 would take you about three million, three hundred thirty-eight thousand, eight hundred thirty-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 42001980602400 cubic inches would be around 2896.7 feet tall.
Recreational maths with 42001980602400
- 42001980602400 backwards is 00420608910024
- 42001980602400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42001980602400's digits is 36
- More coming soon!
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Cite this page
MLA style:
"Number 42001980602400 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 42001980602400 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/42001980602400/
Chicago style:
Numbermatics. 2024. "Number 42001980602400 - Facts about the integer". https://numbermatics.com/n/42001980602400/
The information we have on file for 42001980602400 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!
Keywords: Divisors of 42001980602400, math, Factors of 42001980602400, curriculum, school, college, exams, university, Prime factorization of 42001980602400, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, one billion, nine hundred eighty million, six hundred two thousand, four hundred.