993946080
993,946,080 is an even composite number composed of four prime numbers multiplied together.
What does the number 993946080 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 72 divisors.
993946080 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 993946080:
25 × 3 × 5 × 14392
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 1439 × 1439)See below for interesting mathematical facts about the number 993946080 from the Numbermatics database.
Names of 993946080
- Cardinal: 993946080 can be written as Nine hundred ninety-three million, nine hundred forty-six thousand and eighty.
Scientific notation
- Scientific notation: 9.9394608 × 108
Factors of 993946080
Divisors of 993946080
- Number of divisors d(n): 72
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1439 2878 4317 5756 7195 8634 11512 14390 17268 21585 23024 28780 34536 43170 46048 57560 69072 86340 115120 138144 172680 230240 345360 690720 2070721 4141442 6212163 8282884 10353605 12424326 16565768 20707210 24848652 31060815 33131536 41414420 49697304 62121630 66263072 82828840 99394608 124243260 165657680 198789216 248486520 331315360 496973040 993946080
- Sum of all divisors σ(n): 3133107432
- Sum of proper divisors (its aliquot sum) s(n): 2139161352
- 993946080 is an abundant number, because the sum of its proper divisors (2139161352) is greater than itself. Its abundance is 1145215272
Bases of 993946080
- Binary: 1110110011111001101001111000002
- Hexadecimal: 0x3B3E69E0
- Base-36: GFRPPC
Squares and roots of 993946080
- 993946080 squared (9939460802) is 987928809947366400
- 993946080 cubed (9939460803) is 981947967966249839603712000
-
The
square root of 993946080 is 31526.9104099973 -
The
cube root of 993946080 is 997.9779406987
Scales and comparisons
How big is 993946080?- 993,946,080 seconds is equal to 31 years, 31 weeks, 3 days, 8 minutes.
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To count from 1 to 993,946,080 would take you about forty-seven 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 993946080 cubic inches would be around 83.2 feet tall.
Recreational maths with 993946080
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