138630016
138,630,016 is an even composite number composed of four prime numbers multiplied together.
138630016 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138630016:
27 × 72 × 23 × 312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 23 × 31 × 31)See below for interesting mathematical facts about the number 138630016 from the Numbermatics database.
Names of 138630016
- Cardinal: 138630016 can be written as One hundred thirty-eight million, six hundred thirty thousand and sixteen.
Scientific notation
- Scientific notation: 1.38630016 × 108
Factors of 138630016
Divisors of 138630016
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 7 8 14 16 23 28 31 32 46 49 56 62 64 92 98 112 124 128 161 184 196 217 224 248 322 368 392 434 448 496 644 713 736 784 868 896 961 992 1127 1288 1426 1472 1519 1568 1736 1922 1984 2254 2576 2852 2944 3038 3136 3472 3844 3968 4508 4991 5152 5704 6076 6272 6727 6944 7688 9016 9982 10304 11408 12152 13454 13888 15376 18032 19964 20608 22103 22816 24304 26908 27776 30752 34937 36064 39928 44206 45632 47089 48608 53816 61504 69874 72128 79856 88412 91264 94178 97216 107632 123008 139748 144256 154721 159712 176824 188356 194432 215264 279496 309442 319424 353648 376712 430528 558992 618884 638848 707296 753424 861056 1083047 1117984 1237768 1414592 1506848 2166094 2235968 2475536 2829184 3013696 4332188 4471936 4951072 6027392 8664376 9902144 17328752 19804288 34657504 69315008 138630016
- Sum of all divisors σ(n): 346398120
- Sum of proper divisors (its aliquot sum) s(n): 207768104
- 138630016 is an abundant number, because the sum of its proper divisors (207768104) is greater than itself. Its abundance is 69138088
Bases of 138630016
- Binary: 10000100001101010011100000002
- Hexadecimal: 0x8435380
- Base-36: 2AJBLS
Squares and roots of 138630016
- 138630016 squared (1386300162) is 19218281336160256
- 138630016 cubed (1386300163) is 2664230649124397667844096
-
The
square root of 138630016 is 11774.1248507055 -
The
cube root of 138630016 is 517.5501329139
Scales and comparisons
How big is 138630016?- 138,630,016 seconds is equal to 4 years, 21 weeks, 1 day, 12 hours, 20 minutes, 16 seconds.
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To count from 1 to 138,630,016 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 138630016 cubic inches would be around 43.1 feet tall.
Recreational maths with 138630016
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