442214721
442,214,721 is an odd composite number composed of five prime numbers multiplied together.
442214721 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 442214721:
34 × 13 × 19 × 23 × 312
(3 × 3 × 3 × 3 × 13 × 19 × 23 × 31 × 31)See below for interesting mathematical facts about the number 442214721 from the Numbermatics database.
Names of 442214721
- Cardinal: 442214721 can be written as Four hundred forty-two million, two hundred fourteen thousand, seven hundred twenty-one.
Scientific notation
- Scientific notation: 4.42214721 × 108
Factors of 442214721
Divisors of 442214721
- Number of divisors d(n): 120
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Complete list of divisors:
1 3 9 13 19 23 27 31 39 57 69 81 93 117 171 207 247 279 299 351 403 437 513 589 621 713 741 837 897 961 1053 1209 1311 1539 1767 1863 2139 2223 2511 2691 2883 3627 3933 5301 5681 6417 6669 7657 8073 8649 9269 10881 11799 12493 13547 15903 17043 18259 19251 20007 22103 22971 24219 25947 27807 32643 35397 37479 40641 47709 51129 54777 57753 66309 68913 77841 83421 112437 121923 153387 164331 176111 198927 206739 237367 250263 287339 337311 365769 419957 460161 492993 528333 596781 620217 712101 750789 862017 1011933 1097307 1259871 1478979 1584999 1790343 2136303 2586051 3779613 4754997 5459441 6408909 7758153 11338839 14264991 16378323 19226727 23274459 34016517 49134969 147404907 442214721
- Sum of all divisors σ(n): 807428160
- Sum of proper divisors (its aliquot sum) s(n): 365213439
- 442214721 is a deficient number, because the sum of its proper divisors (365213439) is less than itself. Its deficiency is 77001282
Bases of 442214721
- Binary: 110100101101110101001010000012
- Hexadecimal: 0x1A5BA941
- Base-36: 7BA729
Squares and roots of 442214721
- 442214721 squared (4422147212) is 195553859469107841
- 442214721 cubed (4422147213) is 86476795405604732026727361
-
The
square root of 442214721 is 21028.9020398117 -
The
cube root of 442214721 is 761.8644901321
Scales and comparisons
How big is 442214721?- 442,214,721 seconds is equal to 14 years, 3 weeks, 1 day, 5 hours, 25 minutes, 21 seconds.
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To count from 1 to 442,214,721 would take you about twenty-one 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 442214721 cubic inches would be around 63.5 feet tall.
Recreational maths with 442214721
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The information we have on file for 442214721 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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