972505920
972,505,920 is an even composite number composed of five prime numbers multiplied together.
What does the number 972505920 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 112 divisors.
972505920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 972505920:
26 × 3 × 5 × 61 × 16607
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 61 × 16607)See below for interesting mathematical facts about the number 972505920 from the Numbermatics database.
Names of 972505920
- Cardinal: 972505920 can be written as Nine hundred seventy-two million, five hundred five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 9.7250592 × 108
Factors of 972505920
Divisors of 972505920
- Number of divisors d(n): 112
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 160 183 192 240 244 305 320 366 480 488 610 732 915 960 976 1220 1464 1830 1952 2440 2928 3660 3904 4880 5856 7320 9760 11712 14640 16607 19520 29280 33214 49821 58560 66428 83035 99642 132856 166070 199284 249105 265712 332140 398568 498210 531424 664280 797136 996420 1013027 1062848 1328560 1594272 1992840 2026054 2657120 3039081 3188544 3985680 4052108 5065135 5314240 6078162 7971360 8104216 10130270 12156324 15195405 15942720 16208432 20260540 24312648 30390810 32416864 40521080 48625296 60781620 64833728 81042160 97250592 121563240 162084320 194501184 243126480 324168640 486252960 972505920
- Sum of all divisors σ(n): 3138513408
- Sum of proper divisors (its aliquot sum) s(n): 2166007488
- 972505920 is an abundant number, because the sum of its proper divisors (2166007488) is greater than itself. Its abundance is 1193501568
Bases of 972505920
- Binary: 1110011111011101000011010000002
- Hexadecimal: 0x39F74340
- Base-36: G306DC
Squares and roots of 972505920
- 972505920 squared (9725059202) is 945767764435046400
- 972505920 cubed (9725059203) is 919764749858248079474688000
-
The
square root of 972505920 is 31185.0271765153 -
The
cube root of 972505920 is 990.7500081341
Scales and comparisons
How big is 972505920?- 972,505,920 seconds is equal to 30 years, 47 weeks, 6 days, 20 hours, 32 minutes.
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To count from 1 to 972,505,920 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 972505920 cubic inches would be around 82.6 feet tall.
Recreational maths with 972505920
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