138056800
138,056,800 is an even composite number composed of five prime numbers multiplied together.
138056800 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 138056800:
25 × 52 × 7 × 89 × 277
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 89 × 277)See below for interesting mathematical facts about the number 138056800 from the Numbermatics database.
Names of 138056800
- Cardinal: 138056800 can be written as One hundred thirty-eight million, fifty-six thousand, eight hundred.
Scientific notation
- Scientific notation: 1.380568 × 108
Factors of 138056800
Divisors of 138056800
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 89 100 112 140 160 175 178 200 224 277 280 350 356 400 445 554 560 623 700 712 800 890 1108 1120 1246 1385 1400 1424 1780 1939 2216 2225 2492 2770 2800 2848 3115 3560 3878 4432 4450 4984 5540 5600 6230 6925 7120 7756 8864 8900 9695 9968 11080 12460 13850 14240 15512 15575 17800 19390 19936 22160 24653 24920 27700 31024 31150 35600 38780 44320 48475 49306 49840 55400 62048 62300 71200 77560 96950 98612 99680 110800 123265 124600 155120 172571 193900 197224 221600 246530 249200 310240 345142 387800 394448 493060 498400 616325 690284 775600 788896 862855 986120 1232650 1380568 1551200 1725710 1972240 2465300 2761136 3451420 3944480 4314275 4930600 5522272 6902840 8628550 9861200 13805680 17257100 19722400 27611360 34514200 69028400 138056800
- Sum of all divisors σ(n): 390912480
- Sum of proper divisors (its aliquot sum) s(n): 252855680
- 138056800 is an abundant number, because the sum of its proper divisors (252855680) is greater than itself. Its abundance is 114798880
Bases of 138056800
- Binary: 10000011101010010100011000002
- Hexadecimal: 0x83A9460
- Base-36: 2A71B4
Squares and roots of 138056800
- 138056800 squared (1380568002) is 19059680026240000
- 138056800 cubed (1380568003) is 2631318433446610432000000
-
The
square root of 138056800 is 11749.7574443051 -
The
cube root of 138056800 is 516.8358146605
Scales and comparisons
How big is 138056800?- 138,056,800 seconds is equal to 4 years, 20 weeks, 1 day, 21 hours, 6 minutes, 40 seconds.
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To count from 1 to 138,056,800 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 138056800 cubic inches would be around 43.1 feet tall.
Recreational maths with 138056800
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