138285600
138,285,600 is an even composite number composed of five prime numbers multiplied together.
138285600 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 138285600:
25 × 3 × 52 × 157 × 367
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 157 × 367)See below for interesting mathematical facts about the number 138285600 from the Numbermatics database.
Names of 138285600
- Cardinal: 138285600 can be written as One hundred thirty-eight million, two hundred eighty-five thousand, six hundred.
Scientific notation
- Scientific notation: 1.382856 × 108
Factors of 138285600
Divisors of 138285600
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 157 160 200 240 300 314 367 400 471 480 600 628 734 785 800 942 1101 1200 1256 1468 1570 1835 1884 2202 2355 2400 2512 2936 3140 3670 3768 3925 4404 4710 5024 5505 5872 6280 7340 7536 7850 8808 9175 9420 11010 11744 11775 12560 14680 15072 15700 17616 18350 18840 22020 23550 25120 27525 29360 31400 35232 36700 37680 44040 47100 55050 57619 58720 62800 73400 75360 88080 94200 110100 115238 125600 146800 172857 176160 188400 220200 230476 288095 293600 345714 376800 440400 460952 576190 691428 864285 880800 921904 1152380 1382856 1440475 1728570 1843808 2304760 2765712 2880950 3457140 4321425 4609520 5531424 5761900 6914280 8642850 9219040 11523800 13828560 17285700 23047600 27657120 34571400 46095200 69142800 138285600
- Sum of all divisors σ(n): 454220928
- Sum of proper divisors (its aliquot sum) s(n): 315935328
- 138285600 is an abundant number, because the sum of its proper divisors (315935328) is greater than itself. Its abundance is 177649728
Bases of 138285600
- Binary: 10000011111000010010001000002
- Hexadecimal: 0x83E1220
- Base-36: 2ABXUO
Squares and roots of 138285600
- 138285600 squared (1382856002) is 19122907167360000
- 138285600 cubed (1382856003) is 2644422691382678016000000
-
The
square root of 138285600 is 11759.4897848503 -
The
cube root of 138285600 is 517.1211724951
Scales and comparisons
How big is 138285600?- 138,285,600 seconds is equal to 4 years, 20 weeks, 4 days, 12 hours, 40 minutes.
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To count from 1 to 138,285,600 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 138285600 cubic inches would be around 43.1 feet tall.
Recreational maths with 138285600
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