42224370274324800
42,224,370,274,324,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 42224370274324800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 252 divisors.
42224370274324800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 42224370274324800:
26 × 32 × 52 × 1621 × 1808912977
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 1621 × 1808912977)See below for interesting mathematical facts about the number 42224370274324800 from the Numbermatics database.
Names of 42224370274324800
- Cardinal: 42224370274324800 can be written as Forty-two quadrillion, two hundred twenty-four trillion, three hundred seventy billion, two hundred seventy-four million, three hundred twenty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 4.22243702743248 × 1016
Factors of 42224370274324800
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 1808914608
Divisors of 42224370274324800
- Number of divisors d(n): 252
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1621 1800 2400 2880 3242 3600 4800 4863 6484 7200 8105 9726 12968 14400 14589 16210 19452 24315 25936 29178 32420 38904 40525 48630 51872 58356 64840 72945 77808 81050 97260 103744 116712 121575 129680 145890 155616 162100 194520 233424 243150 259360 291780 311232 324200 364725 389040 466848 486300 518720 583560 648400 729450 778080 933696 972600 1167120 1296800 1458900 1556160 1945200 2334240 2593600 2917800 3890400 4668480 5835600 7780800 11671200 23342400 1808912977 3617825954 5426738931 7235651908 9044564885 10853477862 14471303816 16280216793 18089129770 21706955724 27133694655 28942607632 32560433586 36178259540 43413911448 45222824425 54267389310 57885215264 65120867172 72356519080 81401083965 86827822896 90445648850 108534778620 115770430528 130241734344 135668473275 144713038160 162802167930 173655645792 180891297700 217069557240 260483468688 271336946550 289426076320 325604335860 347311291584 361782595400 407005419825 434139114480 520966937376 542673893100 578852152640 651208671720 723565190800 814010839650 868278228960 1041933874752 1085347786200 1302417343440 1447130381600 1628021679300 1736556457920 2170695572400 2604834686880 2894260763200 2932247935717 3256043358600 4341391144800 5209669373760 5864495871434 6512086717200 8682782289600 8796743807151 11728991742868 13024173434400 14661239678585 17593487614302 23457983485736 26048346868800 26390231421453 29322479357170 35186975228604 43983719035755 46915966971472 52780462842906 58644958714340 70373950457208 73306198392925 87967438071510 93831933942944 105560925685812 117289917428680 131951157107265 140747900914416 146612396785850 175934876143020 187663867885888 211121851371624 219918595178775 234579834857360 263902314214530 281495801828832 293224793571700 351869752286040 422243702743248 439837190357550 469159669714720 527804628429060 562991603657664 586449587143400 659755785536325 703739504572080 844487405486496 879674380715100 938319339429440 1055609256858120 1172899174286800 1319511571072650 1407479009144160 1688974810972992 1759348761430200 2111218513716240 2345798348573600 2639023142145300 2814958018288320 3518697522860400 4222437027432480 4691596697147200 5278046284290600 7037395045720800 8444874054864960 10556092568581200 14074790091441600 21112185137162400 42224370274324800
- Sum of all divisors σ(n): 150167963656023196
- Sum of proper divisors (its aliquot sum) s(n): 107943593381698396
- 42224370274324800 is an abundant number, because the sum of its proper divisors (107943593381698396) is greater than itself. Its abundance is 65719223107373596
Bases of 42224370274324800
- Binary: 100101100000001011010111010011110001000011010001010000002
- Hexadecimal: 0x9602D74F10D140
- Base-36: BJRAFX0EDS0
Squares and roots of 42224370274324800
- 42224370274324800 squared (422243702743248002) is 1782897445063283786006095895040000
- 42224370274324800 cubed (422243702743248003) is 75281721881499753032818527267015179987668992000000
-
The
square root of 42224370274324800 is 205485693.6001258459 -
The
cube root of 42224370274324800 is 348220.5473044509
Scales and comparisons
How big is 42224370274324800?- 42,224,370,274,324,800 seconds is equal to 1,342,604,366 years, 8 weeks, 6 days, 4 hours.
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To count from 1 to 42,224,370,274,324,800 would take you about four billion, twenty-seven million, eight hundred thirteen thousand and ninety-eight 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 42224370274324800 cubic inches would be around 29018.4 feet tall.
Recreational maths with 42224370274324800
- 42224370274324800 backwards is 00842347207342224
- The number of decimal digits it has is: 17
- The sum of 42224370274324800's digits is 54
- More coming soon!
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The information we have on file for 42224370274324800 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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