42004408046720000
42,004,408,046,720,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42004408046720000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4400 divisors.
42004408046720000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, four hundred divisors.
Prime factorization of 42004408046720000:
210 × 54 × 73 × 174 × 29 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 17 × 17 × 17 × 17 × 29 × 79)See below for interesting mathematical facts about the number 42004408046720000 from the Numbermatics database.
Names of 42004408046720000
- Cardinal: 42004408046720000 can be written as Forty-two quadrillion, four trillion, four hundred eight billion, forty-six million, seven hundred twenty thousand.
Scientific notation
- Scientific notation: 4.200440804672 × 1016
Factors of 42004408046720000
Divisors of 42004408046720000
- Number of divisors d(n): 4400
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 29 32 34 35 40 49 50 56 58 64 68 70 79 80 85 98 100 112 116 119 125 128 136 140 145 158 160 170 175 196 200 203 224 232 238 245 250 256 272 280 289 290 316 320 340 343 350 392 395 400 406 425 448 464 476 490 493 500 512 544 553 560 578 580 595 625 632 640 680 686 700 725 784 790 800 812 833 850 875 896 928 952 980 986 1000 1015 1024 1088 1106 1120 1156 1160 1190 1225 1250 1264 1280 1343 1360 1372 1400 1421 1445 1450 1568 1580 1600 1624 1666 1700 1715 1750 1792 1856 1904 1960 1972 1975 2000 2023 2030 2125 2176 2212 2240 2291 2312 2320 2380 2450 2465 2500 2528 2560 2686 2720 2744 2765 2800 2842 2890 2900 2975 3136 3160 3200 3248 3332 3400 3430 3451 3500 3584 3625 3712 3808 3871 3920 3944 3950 4000 4046 4060 4165 4250 4352 4375 4424 4480 4582 4624 4640 4760 4900 4913 4930 5000 5056 5075 5120 5372 5440 5488 5530 5600 5684 5780 5800 5831 5950 6125 6272 6320 6400 6496 6664 6715 6800 6860 6902 7000 7105 7168 7225 7250 7424 7616 7742 7840 7888 7900 8000 8092 8120 8330 8381 8500 8575 8704 8750 8848 8960 9164 9248 9280 9401 9520 9800 9826 9860 9875 9947 10000 10112 10115 10150 10625 10744 10880 10976 11060 11200 11368 11455 11560 11600 11662 11900 12250 12325 12544 12640 12800 12992 13328 13430 13600 13720 13804 13825 14000 14161 14210 14450 14500 14848 14875 15232 15484 15680 15776 15800 16000 16037 16184 16240 16660 16762 17000 17150 17255 17408 17500 17696 17920 18125 18328 18496 18560 18802 19040 19355 19600 19652 19720 19750 19894 20000 20224 20230 20300 20825 21250 21488 21760 21952 22120 22400 22736 22831 22910 23120 23200 23324 23800 24157 24500 24565 24650 25088 25280 25375 25600 25984 26656 26860 27097 27200 27440 27608 27650 28000 28322 28420 28900 29000 29155 29696 29750 30464 30625 30968 31360 31552 31600 32000 32074 32368 32480 33320 33524 33575 34000 34300 34391 34510 35000 35392 35525 35840 36125 36250 36656 36992 37120 37604 38080 38710 38947 39200 39304 39440 39500 39788 40000 40448 40460 40600 41650 41905 42500 42875 42976 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72421393184000 72671986240000 75007871512000 75957338240000 77213985380000 82039859466250 84008816093440 85201639040000 85723281728000 88244554720000 90526741480000 93759839390000 98833901286400 103459133120000 105011020116800 106340273536000 107154102160000 120012594419200 122461831040000 123542376608000 131263775146000 132925341920000 144842786368000 145343972480000 150015743024000 154427970760000 164079718932500 168017632186880 171446563456000 176489109440000 181053482960000 187519678780000 206918266240000 210022040233600 214308204320000 240025188838400 247084753216000 262527550292000 265850683840000 289685572736000 300031486048000 308855941520000 328159437865000 336035264373760 352978218880000 362106965920000 375039357560000 420044080467200 428616408640000 494169506432000 525055100584000 531701367680000 600062972096000 617711883040000 656318875730000 724213931840000 750078715120000 840088160934400 857232817280000 1050110201168000 1200125944192000 1235423766080000 1312637751460000 1448427863680000 1500157430240000 1680176321868800 2100220402336000 2470847532160000 2625275502920000 3000314860480000 4200440804672000 5250551005840000 6000629720960000 8400881609344000 10501102011680000 21002204023360000 42004408046720000
- Sum of all divisors σ(n): 136196023571520000
- Sum of proper divisors (its aliquot sum) s(n): 94191615524800000
- 42004408046720000 is an abundant number, because the sum of its proper divisors (94191615524800000) is greater than itself. Its abundance is 52187207478080000
Bases of 42004408046720000
- Binary: 100101010011101011001001010111001010000000010100000000002
- Hexadecimal: 0x953AC95CA01400
- Base-36: BHLBINXC8OW
Squares and roots of 42004408046720000
- 42004408046720000 squared (420044080467200002) is 1764370295355355885702758400000000
- 42004408046720000 cubed (420044080467200003) is 74111329831618253807262257539060072448000000000000
-
The
square root of 42004408046720000 is 204949769.5698143497 -
The
cube root of 42004408046720000 is 347614.8247678769
Scales and comparisons
How big is 42004408046720000?- 42,004,408,046,720,000 seconds is equal to 1,335,610,247 years, 37 weeks, 3 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 42,004,408,046,720,000 would take you about four billion, six million, eight hundred thirty thousand, seven hundred forty-three 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 42004408046720000 cubic inches would be around 28967.9 feet tall.
Recreational maths with 42004408046720000
- 42004408046720000 backwards is 00002764080440024
- The number of decimal digits it has is: 17
- The sum of 42004408046720000's digits is 41
- More coming soon!
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"Number 42004408046720000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 May 2024.
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Numbermatics. (2024). Number 42004408046720000 - Facts about the integer. Retrieved 12 May 2024, from https://numbermatics.com/n/42004408046720000/
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The information we have on file for 42004408046720000 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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