138205600
138,205,600 is an even composite number composed of five prime numbers multiplied together.
138205600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138205600:
25 × 52 × 13 × 97 × 137
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 97 × 137)See below for interesting mathematical facts about the number 138205600 from the Numbermatics database.
Names of 138205600
- Cardinal: 138205600 can be written as One hundred thirty-eight million, two hundred five thousand, six hundred.
Scientific notation
- Scientific notation: 1.382056 × 108
Factors of 138205600
Divisors of 138205600
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 97 100 104 130 137 160 194 200 208 260 274 325 388 400 416 485 520 548 650 685 776 800 970 1040 1096 1261 1300 1370 1552 1781 1940 2080 2192 2425 2522 2600 2740 3104 3425 3562 3880 4384 4850 5044 5200 5480 6305 6850 7124 7760 8905 9700 10088 10400 10960 12610 13289 13700 14248 15520 17810 19400 20176 21920 25220 26578 27400 28496 31525 35620 38800 40352 44525 50440 53156 54800 56992 63050 66445 71240 77600 89050 100880 106312 109600 126100 132890 142480 172757 178100 201760 212624 252200 265780 284960 332225 345514 356200 425248 504400 531560 664450 691028 712400 863785 1008800 1063120 1328900 1382056 1424800 1727570 2126240 2657800 2764112 3455140 4318925 5315600 5528224 6910280 8637850 10631200 13820560 17275700 27641120 34551400 69102800 138205600
- Sum of all divisors σ(n): 369773208
- Sum of proper divisors (its aliquot sum) s(n): 231567608
- 138205600 is an abundant number, because the sum of its proper divisors (231567608) is greater than itself. Its abundance is 93362008
Bases of 138205600
- Binary: 10000011110011011001101000002
- Hexadecimal: 0x83CD9A0
- Base-36: 2AA84G
Squares and roots of 138205600
- 138205600 squared (1382056002) is 19100787871360000
- 138205600 cubed (1382056003) is 2639835848234031616000000
-
The
square root of 138205600 is 11756.0877846329 -
The
cube root of 138205600 is 517.0214328405
Scales and comparisons
How big is 138205600?- 138,205,600 seconds is equal to 4 years, 20 weeks, 3 days, 14 hours, 26 minutes, 40 seconds.
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To count from 1 to 138,205,600 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 138205600 cubic inches would be around 43.1 feet tall.
Recreational maths with 138205600
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