420420105
420,420,105 is an odd composite number composed of five prime numbers multiplied together.
420420105 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 420420105:
33 × 5 × 7 × 232 × 292
(3 × 3 × 3 × 5 × 7 × 23 × 23 × 29 × 29)See below for interesting mathematical facts about the number 420420105 from the Numbermatics database.
Names of 420420105
- Cardinal: 420420105 can be written as Four hundred twenty million, four hundred twenty thousand, one hundred five.
Scientific notation
- Scientific notation: 4.20420105 × 108
Factors of 420420105
Divisors of 420420105
- Number of divisors d(n): 144
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Complete list of divisors:
1 3 5 7 9 15 21 23 27 29 35 45 63 69 87 105 115 135 145 161 189 203 207 261 315 345 435 483 529 609 621 667 783 805 841 945 1015 1035 1305 1449 1587 1827 2001 2415 2523 2645 3045 3105 3335 3703 3915 4205 4347 4669 4761 5481 5887 6003 7245 7569 7935 9135 10005 11109 12615 14007 14283 15341 17661 18009 18515 19343 21735 22707 23345 23805 27405 29435 30015 33327 37845 42021 46023 52983 55545 58029 70035 71415 76705 88305 90045 96715 99981 107387 113535 126063 135401 138069 158949 166635 174087 210105 230115 264915 290145 322161 406203 414207 444889 499905 522261 536935 630315 677005 690345 794745 870435 966483 1218609 1334667 1610805 2031015 2071035 2224445 2611305 2899449 3114223 3655827 4004001 4832415 6093045 6673335 9342669 12012003 14497245 15571115 18279135 20020005 28028007 46713345 60060015 84084021 140140035 420420105
- Sum of all divisors σ(n): 924792960
- Sum of proper divisors (its aliquot sum) s(n): 504372855
- 420420105 is an abundant number, because the sum of its proper divisors (504372855) is greater than itself. Its abundance is 83952750
Bases of 420420105
- Binary: 110010000111100011010000010012
- Hexadecimal: 0x190F1A09
- Base-36: 6YB289
Squares and roots of 420420105
- 420420105 squared (4204201052) is 176753064688211025
- 420420105 cubed (4204201053) is 74310542015289471392657625
-
The
square root of 420420105 is 20504.1484826851 -
The
cube root of 420420105 is 749.1368470037
Scales and comparisons
How big is 420420105?- 420,420,105 seconds is equal to 13 years, 19 weeks, 23 hours, 21 minutes, 45 seconds.
-
To count from 1 to 420,420,105 would take you about twenty 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 420420105 cubic inches would be around 62.4 feet tall.
Recreational maths with 420420105
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