830601216
830,601,216 is an even composite number composed of three prime numbers multiplied together.
830601216 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 830601216:
211 × 35 × 1669
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 1669)See below for interesting mathematical facts about the number 830601216 from the Numbermatics database.
Names of 830601216
- Cardinal: 830601216 can be written as Eight hundred thirty million, six hundred one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 8.30601216 × 108
Factors of 830601216
Divisors of 830601216
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1669 1728 1944 2048 2304 2592 3072 3338 3456 3888 4608 5007 5184 6144 6676 6912 7776 9216 10014 10368 13352 13824 15021 15552 18432 20028 20736 26704 27648 30042 31104 40056 41472 45063 53408 55296 60084 62208 80112 82944 90126 106816 120168 124416 135189 160224 165888 180252 213632 240336 248832 270378 320448 360504 405567 427264 480672 497664 540756 640896 721008 811134 854528 961344 1081512 1281792 1442016 1622268 1709056 1922688 2163024 2563584 2884032 3244536 3418112 3845376 4326048 5127168 5768064 6489072 7690752 8652096 10254336 11536128 12978144 15381504 17304192 23072256 25956288 30763008 34608384 46144512 51912576 69216768 92289024 103825152 138433536 207650304 276867072 415300608 830601216
- Sum of all divisors σ(n): 2489268600
- Sum of proper divisors (its aliquot sum) s(n): 1658667384
- 830601216 is an abundant number, because the sum of its proper divisors (1658667384) is greater than itself. Its abundance is 828066168
Bases of 830601216
- Binary: 1100011000000111111000000000002
- Hexadecimal: 0x3181F800
- Base-36: DQIO00
Squares and roots of 830601216
- 830601216 squared (8306012162) is 689898380020678656
- 830601216 cubed (8306012163) is 573030433361605796818845696
-
The
square root of 830601216 is 28820.1529489349 -
The
cube root of 830601216 is 940.0064945983
Scales and comparisons
How big is 830601216?- 830,601,216 seconds is equal to 26 years, 21 weeks, 2 days, 10 hours, 33 minutes, 36 seconds.
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To count from 1 to 830,601,216 would take you about thirty-nine 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 830601216 cubic inches would be around 78.3 feet tall.
Recreational maths with 830601216
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