138328400
138,328,400 is an even composite number composed of five prime numbers multiplied together.
138328400 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 138328400:
24 × 52 × 7 × 127 × 389
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 127 × 389)See below for interesting mathematical facts about the number 138328400 from the Numbermatics database.
Names of 138328400
- Cardinal: 138328400 can be written as One hundred thirty-eight million, three hundred twenty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.383284 × 108
Factors of 138328400
Divisors of 138328400
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 127 140 175 200 254 280 350 389 400 508 560 635 700 778 889 1016 1270 1400 1556 1778 1945 2032 2540 2723 2800 3112 3175 3556 3890 4445 5080 5446 6224 6350 7112 7780 8890 9725 10160 10892 12700 13615 14224 15560 17780 19450 21784 22225 25400 27230 31120 35560 38900 43568 44450 49403 50800 54460 68075 71120 77800 88900 98806 108920 136150 155600 177800 197612 217840 247015 272300 345821 355600 395224 494030 544600 691642 790448 988060 1089200 1235075 1383284 1729105 1976120 2470150 2766568 3458210 3952240 4940300 5533136 6916420 8645525 9880600 13832840 17291050 19761200 27665680 34582100 69164200 138328400
- Sum of all divisors σ(n): 383784960
- Sum of proper divisors (its aliquot sum) s(n): 245456560
- 138328400 is an abundant number, because the sum of its proper divisors (245456560) is greater than itself. Its abundance is 107128160
Bases of 138328400
- Binary: 10000011111010111001010100002
- Hexadecimal: 0x83EB950
- Base-36: 2ACUVK
Squares and roots of 138328400
- 138328400 squared (1383284002) is 19134746246560000
- 138328400 cubed (1383284003) is 2646878832692650304000000
-
The
square root of 138328400 is 11761.3094509073 -
The
cube root of 138328400 is 517.1745174161
Scales and comparisons
How big is 138328400?- 138,328,400 seconds is equal to 4 years, 20 weeks, 5 days, 33 minutes, 20 seconds.
-
To count from 1 to 138,328,400 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 138328400 cubic inches would be around 43.1 feet tall.
Recreational maths with 138328400
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The information we have on file for 138328400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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