997341216
997,341,216 is an even composite number composed of five prime numbers multiplied together.
What does the number 997341216 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 96 divisors.
997341216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 997341216:
25 × 3 × 37 × 61 × 4603
(2 × 2 × 2 × 2 × 2 × 3 × 37 × 61 × 4603)See below for interesting mathematical facts about the number 997341216 from the Numbermatics database.
Names of 997341216
- Cardinal: 997341216 can be written as Nine hundred ninety-seven million, three hundred forty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 9.97341216 × 108
Factors of 997341216
Divisors of 997341216
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 8 12 16 24 32 37 48 61 74 96 111 122 148 183 222 244 296 366 444 488 592 732 888 976 1184 1464 1776 1952 2257 2928 3552 4514 4603 5856 6771 9028 9206 13542 13809 18056 18412 27084 27618 36112 36824 54168 55236 72224 73648 108336 110472 147296 170311 216672 220944 280783 340622 441888 510933 561566 681244 842349 1021866 1123132 1362488 1684698 2043732 2246264 2724976 3369396 4087464 4492528 5449952 6738792 8174928 8985056 10388971 13477584 16349856 20777942 26955168 31166913 41555884 62333826 83111768 124667652 166223536 249335304 332447072 498670608 997341216
- Sum of all divisors σ(n): 2733450048
- Sum of proper divisors (its aliquot sum) s(n): 1736108832
- 997341216 is an abundant number, because the sum of its proper divisors (1736108832) is greater than itself. Its abundance is 738767616
Bases of 997341216
- Binary: 1110110111001000111000001000002
- Hexadecimal: 0x3B723820
- Base-36: GHSHEO
Squares and roots of 997341216
- 997341216 squared (9973412162) is 994689501132358656
- 997341216 cubed (9973412163) is 992044836601779958923165696
-
The
square root of 997341216 is 31580.7095550433 -
The
cube root of 997341216 is 999.1129520453
Scales and comparisons
How big is 997341216?- 997,341,216 seconds is equal to 31 years, 37 weeks, 7 hours, 13 minutes, 36 seconds.
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To count from 1 to 997,341,216 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 997341216 cubic inches would be around 83.3 feet tall.
Recreational maths with 997341216
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