138009600
138,009,600 is an even composite number composed of four prime numbers multiplied together.
138009600 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred ninety-eight divisors.
Prime factorization of 138009600:
210 × 32 × 52 × 599
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 599)See below for interesting mathematical facts about the number 138009600 from the Numbermatics database.
Names of 138009600
- Cardinal: 138009600 can be written as One hundred thirty-eight million, nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.380096 × 108
Factors of 138009600
Divisors of 138009600
- Number of divisors d(n): 198
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 256 288 300 320 360 384 400 450 480 512 576 599 600 640 720 768 800 900 960 1024 1152 1198 1200 1280 1440 1536 1600 1797 1800 1920 2304 2396 2400 2560 2880 2995 3072 3200 3594 3600 3840 4608 4792 4800 5120 5391 5760 5990 6400 7188 7200 7680 8985 9216 9584 9600 10782 11520 11980 12800 14376 14400 14975 15360 17970 19168 19200 21564 23040 23960 25600 26955 28752 28800 29950 35940 38336 38400 43128 44925 46080 47920 53910 57504 57600 59900 71880 76672 76800 86256 89850 95840 107820 115008 115200 119800 134775 143760 153344 172512 179700 191680 215640 230016 230400 239600 269550 287520 306688 345024 359400 383360 431280 460032 479200 539100 575040 613376 690048 718800 766720 862560 920064 958400 1078200 1150080 1380096 1437600 1533440 1725120 1840128 1916800 2156400 2300160 2760192 2875200 3066880 3450240 3833600 4312800 4600320 5520384 5750400 6900480 7667200 8625600 9200640 11500800 13800960 15334400 17251200 23001600 27601920 34502400 46003200 69004800 138009600
- Sum of all divisors σ(n): 494964600
- Sum of proper divisors (its aliquot sum) s(n): 356955000
- 138009600 is an abundant number, because the sum of its proper divisors (356955000) is greater than itself. Its abundance is 218945400
Bases of 138009600
- Binary: 10000011100111011100000000002
- Hexadecimal: 0x839DC00
- Base-36: 2A60W0
Squares and roots of 138009600
- 138009600 squared (1380096002) is 19046649692160000
- 138009600 cubed (1380096003) is 2628620505355124736000000
-
The
square root of 138009600 is 11747.7487204997 -
The
cube root of 138009600 is 516.7769079135
Scales and comparisons
How big is 138009600?- 138,009,600 seconds is equal to 4 years, 20 weeks, 1 day, 8 hours.
-
To count from 1 to 138,009,600 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 138009600 cubic inches would be around 43.1 feet tall.
Recreational maths with 138009600
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