164358400
164,358,400 is an even composite number composed of four prime numbers multiplied together.
164358400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eight divisors.
Prime factorization of 164358400:
28 × 52 × 61 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 61 × 421)See below for interesting mathematical facts about the number 164358400 from the Numbermatics database.
Names of 164358400
- Cardinal: 164358400 can be written as One hundred sixty-four million, three hundred fifty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.643584 × 108
Factors of 164358400
Divisors of 164358400
- Number of divisors d(n): 108
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 128 160 200 244 256 305 320 400 421 488 610 640 800 842 976 1220 1280 1525 1600 1684 1952 2105 2440 3050 3200 3368 3904 4210 4880 6100 6400 6736 7808 8420 9760 10525 12200 13472 15616 16840 19520 21050 24400 25681 26944 33680 39040 42100 48800 51362 53888 67360 78080 84200 97600 102724 107776 128405 134720 168400 195200 205448 256810 269440 336800 390400 410896 513620 538880 642025 673600 821792 1027240 1284050 1347200 1643584 2054480 2568100 2694400 3287168 4108960 5136200 6574336 8217920 10272400 16435840 20544800 32871680 41089600 82179200 164358400
- Sum of all divisors σ(n): 414463924
- Sum of proper divisors (its aliquot sum) s(n): 250105524
- 164358400 is an abundant number, because the sum of its proper divisors (250105524) is greater than itself. Its abundance is 85747124
Bases of 164358400
- Binary: 10011100101111101001000000002
- Hexadecimal: 0x9CBE900
- Base-36: 2PURR4
Squares and roots of 164358400
- 164358400 squared (1643584002) is 27013683650560000
- 164358400 cubed (1643584003) is 4439925822912200704000000
-
The
square root of 164358400 is 12820.2340072247 -
The
cube root of 164358400 is 547.7688122083
Scales and comparisons
How big is 164358400?- 164,358,400 seconds is equal to 5 years, 11 weeks, 5 days, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 164,358,400 would take you about 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 164358400 cubic inches would be around 45.6 feet tall.
Recreational maths with 164358400
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