138408000
138,408,000 is an even composite number composed of five prime numbers multiplied together.
138408000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 138408000:
26 × 3 × 53 × 73 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 73 × 79)See below for interesting mathematical facts about the number 138408000 from the Numbermatics database.
Names of 138408000
- Cardinal: 138408000 can be written as One hundred thirty-eight million, four hundred eight thousand.
Scientific notation
- Scientific notation: 1.38408 × 108
Factors of 138408000
Divisors of 138408000
- Number of divisors d(n): 224
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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 64 73 75 79 80 96 100 120 125 146 150 158 160 192 200 219 237 240 250 292 300 316 320 365 375 395 400 438 474 480 500 584 600 632 730 750 790 800 876 948 960 1000 1095 1168 1185 1200 1264 1460 1500 1580 1600 1752 1825 1896 1975 2000 2190 2336 2370 2400 2528 2920 3000 3160 3504 3650 3792 3950 4000 4380 4672 4740 4800 5056 5475 5767 5840 5925 6000 6320 7008 7300 7584 7900 8000 8760 9125 9480 9875 10950 11534 11680 11850 12000 12640 14016 14600 15168 15800 17301 17520 18250 18960 19750 21900 23068 23360 23700 24000 25280 27375 28835 29200 29625 31600 34602 35040 36500 37920 39500 43800 46136 47400 54750 57670 58400 59250 63200 69204 70080 73000 75840 79000 86505 87600 92272 94800 109500 115340 116800 118500 126400 138408 144175 146000 158000 173010 175200 184544 189600 219000 230680 237000 276816 288350 292000 316000 346020 350400 369088 379200 432525 438000 461360 474000 553632 576700 584000 632000 692040 720875 865050 876000 922720 948000 1107264 1153400 1384080 1441750 1730100 1752000 1845440 1896000 2162625 2306800 2768160 2883500 3460200 4325250 4613600 5536320 5767000 6920400 8650500 9227200 11534000 13840800 17301000 23068000 27681600 34602000 46136000 69204000 138408000
- Sum of all divisors σ(n): 469148160
- Sum of proper divisors (its aliquot sum) s(n): 330740160
- 138408000 is an abundant number, because the sum of its proper divisors (330740160) is greater than itself. Its abundance is 192332160
Bases of 138408000
- Binary: 10000011111111110000010000002
- Hexadecimal: 0x83FF040
- Base-36: 2AEKAO
Squares and roots of 138408000
- 138408000 squared (1384080002) is 19156774464000000
- 138408000 cubed (1384080003) is 2651450840013312000000000
-
The
square root of 138408000 is 11764.6929411693 -
The
cube root of 138408000 is 517.2736997429
Scales and comparisons
How big is 138408000?- 138,408,000 seconds is equal to 4 years, 20 weeks, 5 days, 22 hours, 40 minutes.
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To count from 1 to 138,408,000 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 138408000 cubic inches would be around 43.1 feet tall.
Recreational maths with 138408000
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The information we have on file for 138408000 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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