138368000
138,368,000 is an even composite number composed of four prime numbers multiplied together.
138368000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred seventy-six divisors.
Prime factorization of 138368000:
210 × 53 × 23 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 23 × 47)See below for interesting mathematical facts about the number 138368000 from the Numbermatics database.
Names of 138368000
- Cardinal: 138368000 can be written as One hundred thirty-eight million, three hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.38368 × 108
Factors of 138368000
Divisors of 138368000
- Number of divisors d(n): 176
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Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 32 40 46 47 50 64 80 92 94 100 115 125 128 160 184 188 200 230 235 250 256 320 368 376 400 460 470 500 512 575 640 736 752 800 920 940 1000 1024 1081 1150 1175 1280 1472 1504 1600 1840 1880 2000 2162 2300 2350 2560 2875 2944 3008 3200 3680 3760 4000 4324 4600 4700 5120 5405 5750 5875 5888 6016 6400 7360 7520 8000 8648 9200 9400 10810 11500 11750 11776 12032 12800 14720 15040 16000 17296 18400 18800 21620 23000 23500 23552 24064 25600 27025 29440 30080 32000 34592 36800 37600 43240 46000 47000 48128 54050 58880 60160 64000 69184 73600 75200 86480 92000 94000 108100 117760 120320 128000 135125 138368 147200 150400 172960 184000 188000 216200 240640 270250 276736 294400 300800 345920 368000 376000 432400 540500 553472 588800 601600 691840 736000 752000 864800 1081000 1106944 1203200 1383680 1472000 1504000 1729600 2162000 2767360 2944000 3008000 3459200 4324000 5534720 6016000 6918400 8648000 13836800 17296000 27673600 34592000 69184000 138368000
- Sum of all divisors σ(n): 367870464
- Sum of proper divisors (its aliquot sum) s(n): 229502464
- 138368000 is an abundant number, because the sum of its proper divisors (229502464) is greater than itself. Its abundance is 91134464
Bases of 138368000
- Binary: 10000011111101010100000000002
- Hexadecimal: 0x83F5400
- Base-36: 2ADPFK
Squares and roots of 138368000
- 138368000 squared (1383680002) is 19145703424000000
- 138368000 cubed (1383680003) is 2649152691372032000000000
-
The
square root of 138368000 is 11762.9928164561 -
The
cube root of 138368000 is 517.2238641325
Scales and comparisons
How big is 138368000?- 138,368,000 seconds is equal to 4 years, 20 weeks, 5 days, 11 hours, 33 minutes, 20 seconds.
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To count from 1 to 138,368,000 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 138368000 cubic inches would be around 43.1 feet tall.
Recreational maths with 138368000
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