972135200
972,135,200 is an even composite number composed of four prime numbers multiplied together.
972135200 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 972135200:
25 × 52 × 31 × 39199
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 31 × 39199)See below for interesting mathematical facts about the number 972135200 from the Numbermatics database.
Names of 972135200
- Cardinal: 972135200 can be written as Nine hundred seventy-two million, one hundred thirty-five thousand, two hundred.
Scientific notation
- Scientific notation: 9.721352 × 108
Factors of 972135200
Divisors of 972135200
- Number of divisors d(n): 72
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 620 775 800 992 1240 1550 2480 3100 4960 6200 12400 24800 39199 78398 156796 195995 313592 391990 627184 783980 979975 1215169 1254368 1567960 1959950 2430338 3135920 3919900 4860676 6075845 6271840 7839800 9721352 12151690 15679600 19442704 24303380 30379225 31359200 38885408 48606760 60758450 97213520 121516900 194427040 243033800 486067600 972135200
- Sum of all divisors σ(n): 2449843200
- Sum of proper divisors (its aliquot sum) s(n): 1477708000
- 972135200 is an abundant number, because the sum of its proper divisors (1477708000) is greater than itself. Its abundance is 505572800
Bases of 972135200
- Binary: 1110011111000110011011001000002
- Hexadecimal: 0x39F19B20
- Base-36: G2S8BK
Squares and roots of 972135200
- 972135200 squared (9721352002) is 945046847079040000
- 972135200 cubed (9721352003) is 918713305694551966208000000
-
The
square root of 972135200 is 31179.0827318573 -
The
cube root of 972135200 is 990.6241005807
Scales and comparisons
How big is 972135200?- 972,135,200 seconds is equal to 30 years, 47 weeks, 2 days, 13 hours, 33 minutes, 20 seconds.
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To count from 1 to 972,135,200 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 972135200 cubic inches would be around 82.6 feet tall.
Recreational maths with 972135200
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