42315385728000
42,315,385,728,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42315385728000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2816 divisors.
42315385728000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, eight hundred sixteen divisors.
Prime factorization of 42315385728000:
210 × 3 × 53 × 7 × 11 × 29 × 61 × 809
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 11 × 29 × 61 × 809)See below for interesting mathematical facts about the number 42315385728000 from the Numbermatics database.
Names of 42315385728000
- Cardinal: 42315385728000 can be written as Forty-two trillion, three hundred fifteen billion, three hundred eighty-five million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.2315385728 × 1013
Factors of 42315385728000
Divisors of 42315385728000
- Number of divisors d(n): 2816
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 29 30 32 33 35 40 42 44 48 50 55 56 58 60 61 64 66 70 75 77 80 84 87 88 96 100 105 110 112 116 120 122 125 128 132 140 145 150 154 160 165 168 174 175 176 183 192 200 203 210 220 224 231 232 240 244 250 256 264 275 280 290 300 305 308 319 320 330 336 348 350 352 366 375 384 385 400 406 420 427 435 440 448 462 464 480 488 500 512 525 528 550 560 580 600 609 610 616 638 640 660 671 672 696 700 704 725 732 750 768 770 800 809 812 825 840 854 870 875 880 896 915 924 928 957 960 976 1000 1015 1024 1050 1056 1100 1120 1155 1160 1200 1218 1220 1232 1276 1280 1281 1320 1342 1344 1375 1392 1400 1408 1450 1464 1500 1525 1536 1540 1595 1600 1618 1624 1650 1680 1708 1740 1750 1760 1769 1792 1830 1848 1856 1914 1920 1925 1952 2000 2013 2030 2100 2112 2135 2175 2200 2233 2240 2310 2320 2400 2427 2436 2440 2464 2552 2560 2562 2625 2640 2684 2688 2750 2784 2800 2816 2900 2928 3000 3045 3050 3072 3080 3190 3200 3236 3248 3300 3355 3360 3416 3480 3500 3520 3538 3584 3625 3660 3696 3712 3828 3840 3850 3904 4000 4026 4045 4060 4125 4200 4224 4270 4350 4400 4466 4480 4575 4620 4640 4697 4785 4800 4854 4872 4880 4928 5075 5104 5120 5124 5250 5280 5307 5368 5376 5500 5568 5600 5632 5663 5775 5800 5856 6000 6090 6100 6160 6380 6400 6405 6472 6496 6600 6699 6710 6720 6832 6960 7000 7040 7076 7168 7250 7320 7392 7424 7625 7656 7680 7700 7808 7975 8000 8052 8090 8120 8250 8400 8448 8540 8700 8800 8845 8899 8932 8960 9150 9240 9280 9394 9570 9600 9625 9708 9744 9760 9856 10065 10150 10208 10248 10500 10560 10614 10675 10736 10752 10875 11000 11136 11165 11200 11264 11326 11550 11600 11712 12000 12135 12180 12200 12320 12383 12760 12800 12810 12944 12992 13200 13398 13420 13440 13664 13920 14000 14080 14091 14152 14500 14640 14784 14848 15225 15250 15312 15360 15400 15616 15950 16000 16104 16180 16240 16500 16775 16800 16896 16989 17080 17400 17600 17690 17798 17864 17920 18300 18480 18560 18788 19140 19200 19250 19416 19459 19488 19520 19712 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8258272000 8264723775 8290632000 8338007040 8586726000 8671185600 8685424000 8717632000 8815705360 8843340800 9009024000 9119695200 9159174400 9249264640 9445398600 9475008000 9617133120 9727674880 9909926400 10017847000 10075091840 10258275328 10422508800 10461158400 10510528000 10578846432 10838982000 10991009280 11019631700 11054176000 11399619000 11448968000 11561580800 11673209856 11806748250 11960256000 12021416400 12090110208 12159593600 12387408000 12593864800 12612633600 12822844160 13028136000 13076448000 13223558040 13265011200 13738761600 13774539625 13873896960 13896678400 14105128576 14451976000 14591512320 15026770500 15112637760 15199492000 15387412992 15742331000 15765792000 16028555200 16120146944 16516544000 16529447550 16581264000 17173452000 17342371200 17370848000 17435264000 17631410720 18239390400 18318348800 18890797200 18950016000 19234266240 19455349760 19819852800 20035694000 20150183680 20845017600 21021056000 21157692864 21677964000 21982018560 22039263400 22108352000 22799238000 22897936000 23123161600 23613496500 23920512000 24042832800 24180220416 24319187200 24774816000 25187729600 25645688320 26056272000 26152896000 26447116080 26530022400 27477523200 27549079250 27747793920 28210257152 28903952000 29183024640 30053541000 30225275520 30398984000 30774825984 31484662000 31531584000 32057110400 33033088000 33058895100 33162528000 34346904000 34684742400 34741696000 35262821440 36478780800 36636697600 37781594400 38468532480 40071388000 40300367360 41323618875 41690035200 42315385728 43355928000 44078526800 44216704000 45598476000 45795872000 46246323200 47226993000 48085665600 48360440832 48638374400 49549632000 50375459200 51291376640 52112544000 52305792000 52894232160 54955046400 55098158500 56420514304 57807904000 58366049280 60107082000 60450551040 60797968000 62969324000 63063168000 64114220800 66117790200 66325056000 68693808000 69369484800 69483392000 70525642880 72957561600 75563188800 76937064960 80142776000 80600734720 82647237750 84630771456 86711856000 88157053600 91196952000 91591744000 94453986000 96171331200 97276748800 99099264000 100750918400 104225088000 105788464320 109910092800 110196317000 112841028608 115615808000 120214164000 120901102080 121595936000 125938648000 128228441600 132235580400 132650112000 137387616000 138738969600 141051285760 145915123200 151126377600 153874129920 160285552000 165294475500 169261542912 173423712000 176314107200 182393904000 183183488000 188907972000 192342662400 201501836800 208450176000 211576928640 220392634000 231231616000 240428328000 241802204160 243191872000 251877296000 256456883200 264471160800 274775232000 282102571520 291830246400 302252755200 320571104000 330588951000 338523085824 346847424000 352628214400 364787808000 377815944000 384685324800 403003673600 423153857280 440785268000 480856656000 486383744000 503754592000 528942321600 549550464000 564205143040 604505510400 641142208000 661177902000 693694848000 705256428800 729575616000 755631888000 769370649600 846307714560 881570536000 961713312000 1007509184000 1057884643200 1209011020800 1282284416000 1322355804000 1410512857600 1459151232000 1511263776000 1692615429120 1763141072000 1923426624000 2015018368000 2115769286400 2644711608000 2821025715200 3022527552000 3526282144000 3846853248000 4231538572800 5289423216000 6045055104000 7052564288000 8463077145600 10578846432000 14105128576000 21157692864000 42315385728000
- Sum of all divisors σ(n): 184744547020800
- Sum of proper divisors (its aliquot sum) s(n): 142429161292800
- 42315385728000 is an abundant number, because the sum of its proper divisors (142429161292800) is greater than itself. Its abundance is 100113775564800
Bases of 42315385728000
- Binary: 10011001111100010100011000100011101100000000002
- Hexadecimal: 0x267C5188EC00
- Base-36: EZZF440LC
Squares and roots of 42315385728000
- 42315385728000 squared (423153857280002) is 1790591869309426089984000000
- 42315385728000 cubed (423153857280003) is 75769585631248929983979797348352000000000
-
The
square root of 42315385728000 is 6505027.7269201551 -
The
cube root of 42315385728000 is 34847.0566477155
Scales and comparisons
How big is 42315385728000?- 42,315,385,728,000 seconds is equal to 1,345,498 years, 19 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 42,315,385,728,000 would take you about three million, three hundred sixty-three thousand, seven hundred forty-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 42315385728000 cubic inches would be around 2903.9 feet tall.
Recreational maths with 42315385728000
- 42315385728000 backwards is 00082758351324
- 42315385728000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42315385728000's digits is 48
- More coming soon!
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"Number 42315385728000 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 42315385728000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/42315385728000/
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The information we have on file for 42315385728000 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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