972128008
972,128,008 is an even composite number composed of five prime numbers multiplied together.
972128008 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of sixty-four divisors.
Prime factorization of 972128008:
23 × 19 × 31 × 103 × 2003
(2 × 2 × 2 × 19 × 31 × 103 × 2003)See below for interesting mathematical facts about the number 972128008 from the Numbermatics database.
Names of 972128008
- Cardinal: 972128008 can be written as Nine hundred seventy-two million, one hundred twenty-eight thousand and eight.
Scientific notation
- Scientific notation: 9.72128008 × 108
Factors of 972128008
Divisors of 972128008
- Number of divisors d(n): 64
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Complete list of divisors:
1 2 4 8 19 31 38 62 76 103 124 152 206 248 412 589 824 1178 1957 2003 2356 3193 3914 4006 4712 6386 7828 8012 12772 15656 16024 25544 38057 60667 62093 76114 121334 124186 152228 206309 242668 248372 304456 412618 485336 496744 825236 1179767 1650472 2359534 3919871 4719068 6395579 7839742 9438136 12791158 15679484 25582316 31358968 51164632 121516001 243032002 486064004 972128008
- Sum of all divisors σ(n): 2000793600
- Sum of proper divisors (its aliquot sum) s(n): 1028665592
- 972128008 is an abundant number, because the sum of its proper divisors (1028665592) is greater than itself. Its abundance is 56537584
Bases of 972128008
- Binary: 1110011111000101111111000010002
- Hexadecimal: 0x39F17F08
- Base-36: G2S2RS
Squares and roots of 972128008
- 972128008 squared (9721280082) is 945032863938048064
- 972128008 cubed (9721280083) is 918692915514629699864576512
-
The
square root of 972128008 is 31178.9673979111 -
The
cube root of 972128008 is 990.6216576467
Scales and comparisons
How big is 972128008?- 972,128,008 seconds is equal to 30 years, 47 weeks, 2 days, 11 hours, 33 minutes, 28 seconds.
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To count from 1 to 972,128,008 would take you about forty-six 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 972128008 cubic inches would be around 82.6 feet tall.
Recreational maths with 972128008
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