972842112
972,842,112 is an even composite number composed of four prime numbers multiplied together.
What does the number 972842112 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 96 divisors.
972842112 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 972842112:
27 × 32 × 11 × 76771
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 76771)See below for interesting mathematical facts about the number 972842112 from the Numbermatics database.
Names of 972842112
- Cardinal: 972842112 can be written as Nine hundred seventy-two million, eight hundred forty-two thousand, one hundred twelve.
Scientific notation
- Scientific notation: 9.72842112 × 108
Factors of 972842112
Divisors of 972842112
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 76771 153542 230313 307084 460626 614168 690939 844481 921252 1228336 1381878 1688962 1842504 2456672 2533443 2763756 3377924 3685008 4913344 5066886 5527512 6755848 7370016 7600329 9826688 10133772 11055024 13511696 14740032 15200658 20267544 22110048 27023392 29480064 30401316 40535088 44220096 54046784 60802632 81070176 88440192 108093568 121605264 162140352 243210528 324280704 486421056 972842112
- Sum of all divisors σ(n): 3053990160
- Sum of proper divisors (its aliquot sum) s(n): 2081148048
- 972842112 is an abundant number, because the sum of its proper divisors (2081148048) is greater than itself. Its abundance is 1108305936
Bases of 972842112
- Binary: 1110011111110001100100100000002
- Hexadecimal: 0x39FC6480
- Base-36: G37DS0
Squares and roots of 972842112
- 972842112 squared (9728421122) is 946421774880620544
- 972842112 cubed (9728421123) is 920718958317651437895548928
-
The
square root of 972842112 is 31190.4169898385 -
The
cube root of 972842112 is 990.8641612875
Scales and comparisons
How big is 972842112?- 972,842,112 seconds is equal to 30 years, 48 weeks, 3 days, 17 hours, 55 minutes, 12 seconds.
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To count from 1 to 972,842,112 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 972842112 cubic inches would be around 82.6 feet tall.
Recreational maths with 972842112
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