138034400
138,034,400 is an even composite number composed of four prime numbers multiplied together.
138034400 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 138034400:
25 × 52 × 7 × 1572
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 157 × 157)See below for interesting mathematical facts about the number 138034400 from the Numbermatics database.
Names of 138034400
- Cardinal: 138034400 can be written as One hundred thirty-eight million, thirty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.380344 × 108
Factors of 138034400
Divisors of 138034400
- Number of divisors d(n): 108
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 157 160 175 200 224 280 314 350 400 560 628 700 785 800 1099 1120 1256 1400 1570 2198 2512 2800 3140 3925 4396 5024 5495 5600 6280 7850 8792 10990 12560 15700 17584 21980 24649 25120 27475 31400 35168 43960 49298 54950 62800 87920 98596 109900 123245 125600 172543 175840 197192 219800 246490 345086 394384 439600 492980 616225 690172 788768 862715 879200 985960 1232450 1380344 1725430 1971920 2464900 2760688 3450860 3943840 4313575 4929800 5521376 6901720 8627150 9859600 13803440 17254300 19719200 27606880 34508600 69017200 138034400
- Sum of all divisors σ(n): 387584568
- Sum of proper divisors (its aliquot sum) s(n): 249550168
- 138034400 is an abundant number, because the sum of its proper divisors (249550168) is greater than itself. Its abundance is 111515768
Bases of 138034400
- Binary: 10000011101000111100111000002
- Hexadecimal: 0x83A3CE0
- Base-36: 2A6K0W
Squares and roots of 138034400
- 138034400 squared (1380344002) is 19053495583360000
- 138034400 cubed (1380344003) is 2630037830751747584000000
-
The
square root of 138034400 is 11748.8041944701 -
The
cube root of 138034400 is 516.8078605903
Scales and comparisons
How big is 138034400?- 138,034,400 seconds is equal to 4 years, 20 weeks, 1 day, 14 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,034,400 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 138034400 cubic inches would be around 43.1 feet tall.
Recreational maths with 138034400
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