138054384
138,054,384 is an even composite number composed of five prime numbers multiplied together.
What does the number 138054384 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 120 divisors.
138054384 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 138054384:
24 × 32 × 13 × 29 × 2543
(2 × 2 × 2 × 2 × 3 × 3 × 13 × 29 × 2543)See below for interesting mathematical facts about the number 138054384 from the Numbermatics database.
Names of 138054384
- Cardinal: 138054384 can be written as One hundred thirty-eight million, fifty-four thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.38054384 × 108
Factors of 138054384
Divisors of 138054384
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 58 72 78 87 104 116 117 144 156 174 208 232 234 261 312 348 377 464 468 522 624 696 754 936 1044 1131 1392 1508 1872 2088 2262 2543 3016 3393 4176 4524 5086 6032 6786 7629 9048 10172 13572 15258 18096 20344 22887 27144 30516 33059 40688 45774 54288 61032 66118 73747 91548 99177 122064 132236 147494 183096 198354 221241 264472 294988 297531 366192 396708 442482 528944 589976 595062 663723 793416 884964 958711 1179952 1190124 1327446 1586832 1769928 1917422 2380248 2654892 2876133 3539856 3834844 4760496 5309784 5752266 7669688 8628399 10619568 11504532 15339376 17256798 23009064 34513596 46018128 69027192 138054384
- Sum of all divisors σ(n): 430597440
- Sum of proper divisors (its aliquot sum) s(n): 292543056
- 138054384 is an abundant number, because the sum of its proper divisors (292543056) is greater than itself. Its abundance is 154488672
Bases of 138054384
- Binary: 10000011101010001010111100002
- Hexadecimal: 0x83A8AF0
- Base-36: 2A6ZG0
Squares and roots of 138054384
- 138054384 squared (1380543842) is 19059012941619456
- 138054384 cubed (1380543843) is 2631180291303301960495104
-
The
square root of 138054384 is 11749.6546332221 -
The
cube root of 138054384 is 516.8327997599
Scales and comparisons
How big is 138054384?- 138,054,384 seconds is equal to 4 years, 20 weeks, 1 day, 20 hours, 26 minutes, 24 seconds.
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To count from 1 to 138,054,384 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 138054384 cubic inches would be around 43.1 feet tall.
Recreational maths with 138054384
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