138076120
138,076,120 is an even composite number composed of five prime numbers multiplied together.
138076120 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 138076120:
23 × 5 × 72 × 13 × 5419
(2 × 2 × 2 × 5 × 7 × 7 × 13 × 5419)See below for interesting mathematical facts about the number 138076120 from the Numbermatics database.
Names of 138076120
- Cardinal: 138076120 can be written as One hundred thirty-eight million, seventy-six thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3807612 × 108
Factors of 138076120
Divisors of 138076120
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 455 490 520 637 728 910 980 1274 1820 1960 2548 3185 3640 5096 5419 6370 10838 12740 21676 25480 27095 37933 43352 54190 70447 75866 108380 140894 151732 189665 216760 265531 281788 303464 352235 379330 493129 531062 563576 704470 758660 986258 1062124 1327655 1408940 1517320 1972516 2124248 2465645 2655310 2817880 3451903 3945032 4931290 5310620 6903806 9862580 10621240 13807612 17259515 19725160 27615224 34519030 69038060 138076120
- Sum of all divisors σ(n): 389264400
- Sum of proper divisors (its aliquot sum) s(n): 251188280
- 138076120 is an abundant number, because the sum of its proper divisors (251188280) is greater than itself. Its abundance is 113112160
Bases of 138076120
- Binary: 10000011101011011111110110002
- Hexadecimal: 0x83ADFD8
- Base-36: 2A7G7S
Squares and roots of 138076120
- 138076120 squared (1380761202) is 19065014914254400
- 138076120 cubed (1380761203) is 2632423287102380244928000
-
The
square root of 138076120 is 11750.5795601749 -
The
cube root of 138076120 is 516.8599226179
Scales and comparisons
How big is 138076120?- 138,076,120 seconds is equal to 4 years, 20 weeks, 2 days, 2 hours, 28 minutes, 40 seconds.
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To count from 1 to 138,076,120 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 138076120 cubic inches would be around 43.1 feet tall.
Recreational maths with 138076120
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