138751200
138,751,200 is an even composite number composed of five prime numbers multiplied together.
138751200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 138751200:
25 × 32 × 52 × 7 × 2753
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 2753)See below for interesting mathematical facts about the number 138751200 from the Numbermatics database.
Names of 138751200
- Cardinal: 138751200 can be written as One hundred thirty-eight million, seven hundred fifty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.387512 × 108
Factors of 138751200
Divisors of 138751200
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 70 72 75 80 84 90 96 100 105 112 120 126 140 144 150 160 168 175 180 200 210 224 225 240 252 280 288 300 315 336 350 360 400 420 450 480 504 525 560 600 630 672 700 720 800 840 900 1008 1050 1120 1200 1260 1400 1440 1575 1680 1800 2016 2100 2400 2520 2753 2800 3150 3360 3600 4200 5040 5506 5600 6300 7200 8259 8400 10080 11012 12600 13765 16518 16800 19271 22024 24777 25200 27530 33036 38542 41295 44048 49554 50400 55060 57813 66072 68825 77084 82590 88096 96355 99108 110120 115626 123885 132144 137650 154168 165180 173439 192710 198216 206475 220240 231252 247770 264288 275300 289065 308336 330360 346878 385420 396432 412950 440480 462504 481775 495540 550600 578130 616672 619425 660720 693756 770840 792864 825900 867195 925008 963550 991080 1101200 1156260 1238850 1321440 1387512 1445325 1541680 1651800 1734390 1850016 1927100 1982160 2202400 2312520 2477700 2775024 2890650 3083360 3303600 3468780 3854200 3964320 4335975 4625040 4955400 5550048 5781300 6607200 6937560 7708400 8671950 9250080 9910800 11562600 13875120 15416800 17343900 19821600 23125200 27750240 34687800 46250400 69375600 138751200
- Sum of all divisors σ(n): 559370448
- Sum of proper divisors (its aliquot sum) s(n): 420619248
- 138751200 is an abundant number, because the sum of its proper divisors (420619248) is greater than itself. Its abundance is 281868048
Bases of 138751200
- Binary: 10000100010100101100111000002
- Hexadecimal: 0x8452CE0
- Base-36: 2ALX40
Squares and roots of 138751200
- 138751200 squared (1387512002) is 19251895501440000
- 138751200 cubed (1387512003) is 2671223603099401728000000
-
The
square root of 138751200 is 11779.2699264429 -
The
cube root of 138751200 is 517.7008951867
Scales and comparisons
How big is 138751200?- 138,751,200 seconds is equal to 4 years, 21 weeks, 2 days, 22 hours.
-
To count from 1 to 138,751,200 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 138751200 cubic inches would be around 43.1 feet tall.
Recreational maths with 138751200
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