138208680
138,208,680 is an even composite number composed of five prime numbers multiplied together.
138208680 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 138208680:
23 × 35 × 5 × 59 × 241
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 59 × 241)See below for interesting mathematical facts about the number 138208680 from the Numbermatics database.
Names of 138208680
- Cardinal: 138208680 can be written as One hundred thirty-eight million, two hundred eight thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3820868 × 108
Factors of 138208680
Divisors of 138208680
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 59 60 72 81 90 108 118 120 135 162 177 180 216 236 241 243 270 295 324 354 360 405 472 482 486 531 540 590 648 708 723 810 885 964 972 1062 1080 1180 1205 1215 1416 1446 1593 1620 1770 1928 1944 2124 2169 2360 2410 2430 2655 2892 3186 3240 3540 3615 4248 4338 4779 4820 4860 5310 5784 6372 6507 7080 7230 7965 8676 9558 9640 9720 10620 10845 12744 13014 14219 14337 14460 15930 17352 19116 19521 21240 21690 23895 26028 28438 28674 28920 31860 32535 38232 39042 42657 43380 47790 52056 56876 57348 58563 63720 65070 71095 71685 78084 85314 86760 95580 97605 113752 114696 117126 127971 130140 142190 143370 156168 170628 191160 195210 213285 234252 255942 260280 284380 286740 292815 341256 383913 390420 426570 468504 511884 568760 573480 585630 639855 767826 780840 853140 1023768 1151739 1171260 1279710 1535652 1706280 1919565 2303478 2342520 2559420 3071304 3455217 3839130 4606956 5118840 5758695 6910434 7678260 9213912 11517390 13820868 15356520 17276085 23034780 27641736 34552170 46069560 69104340 138208680
- Sum of all divisors σ(n): 475675200
- Sum of proper divisors (its aliquot sum) s(n): 337466520
- 138208680 is an abundant number, because the sum of its proper divisors (337466520) is greater than itself. Its abundance is 199257840
Bases of 138208680
- Binary: 10000011110011100101101010002
- Hexadecimal: 0x83CE5A8
- Base-36: 2AAAI0
Squares and roots of 138208680
- 138208680 squared (1382086802) is 19101639227342400
- 138208680 cubed (1382086803) is 2640012343447213012032000
-
The
square root of 138208680 is 11756.2187798629 -
The
cube root of 138208680 is 517.0252735295
Scales and comparisons
How big is 138208680?- 138,208,680 seconds is equal to 4 years, 20 weeks, 3 days, 15 hours, 18 minutes.
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To count from 1 to 138,208,680 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 138208680 cubic inches would be around 43.1 feet tall.
Recreational maths with 138208680
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