420007120
420,007,120 is an even composite number composed of five prime numbers multiplied together.
What does the number 420007120 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 80 divisors.
420007120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 420007120:
24 × 5 × 13 × 223 × 1811
(2 × 2 × 2 × 2 × 5 × 13 × 223 × 1811)See below for interesting mathematical facts about the number 420007120 from the Numbermatics database.
Names of 420007120
- Cardinal: 420007120 can be written as Four hundred twenty million, seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.2000712 × 108
Factors of 420007120
Divisors of 420007120
- Number of divisors d(n): 80
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 223 260 446 520 892 1040 1115 1784 1811 2230 2899 3568 3622 4460 5798 7244 8920 9055 11596 14488 14495 17840 18110 23192 23543 28976 28990 36220 46384 47086 57980 72440 94172 115960 117715 144880 188344 231920 235430 376688 403853 470860 807706 941720 1615412 1883440 2019265 3230824 4038530 5250089 6461648 8077060 10500178 16154120 21000356 26250445 32308240 42000712 52500890 84001424 105001780 210003560 420007120
- Sum of all divisors σ(n): 1056932352
- Sum of proper divisors (its aliquot sum) s(n): 636925232
- 420007120 is an abundant number, because the sum of its proper divisors (636925232) is greater than itself. Its abundance is 216918112
Bases of 420007120
- Binary: 110010000100011001100110100002
- Hexadecimal: 0x1908CCD0
- Base-36: 6Y27KG
Squares and roots of 420007120
- 420007120 squared (4200071202) is 176405980850694400
- 420007120 cubed (4200071203) is 74091767967875304944128000
-
The
square root of 420007120 is 20494.0752413959 -
The
cube root of 420007120 is 748.8914705051
Scales and comparisons
How big is 420007120?- 420,007,120 seconds is equal to 13 years, 18 weeks, 3 days, 4 hours, 38 minutes, 40 seconds.
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To count from 1 to 420,007,120 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 420007120 cubic inches would be around 62.4 feet tall.
Recreational maths with 420007120
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