135978400
135,978,400 is an even composite number composed of four prime numbers multiplied together.
135978400 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 135978400:
25 × 52 × 31 × 5483
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 31 × 5483)See below for interesting mathematical facts about the number 135978400 from the Numbermatics database.
Names of 135978400
- Cardinal: 135978400 can be written as One hundred thirty-five million, nine hundred seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.359784 × 108
Factors of 135978400
Divisors of 135978400
- Number of divisors d(n): 72
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 620 775 800 992 1240 1550 2480 3100 4960 5483 6200 10966 12400 21932 24800 27415 43864 54830 87728 109660 137075 169973 175456 219320 274150 339946 438640 548300 679892 849865 877280 1096600 1359784 1699730 2193200 2719568 3399460 4249325 4386400 5439136 6798920 8498650 13597840 16997300 27195680 33994600 67989200 135978400
- Sum of all divisors σ(n): 342728064
- Sum of proper divisors (its aliquot sum) s(n): 206749664
- 135978400 is an abundant number, because the sum of its proper divisors (206749664) is greater than itself. Its abundance is 70771264
Bases of 135978400
- Binary: 10000001101011011101101000002
- Hexadecimal: 0x81ADDA0
- Base-36: 28YHLS
Squares and roots of 135978400
- 135978400 squared (1359784002) is 18490125266560000
- 135978400 cubed (1359784003) is 2514257649546402304000000
-
The
square root of 135978400 is 11660.9776605565 -
The
cube root of 135978400 is 514.2290913557
Scales and comparisons
How big is 135978400?- 135,978,400 seconds is equal to 4 years, 16 weeks, 5 days, 19 hours, 46 minutes, 40 seconds.
-
To count from 1 to 135,978,400 would take you about 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 135978400 cubic inches would be around 42.9 feet tall.
Recreational maths with 135978400
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