138198375
138,198,375 is an odd composite number composed of five prime numbers multiplied together.
138198375 is an odd 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 138198375:
32 × 53 × 72 × 23 × 109
(3 × 3 × 5 × 5 × 5 × 7 × 7 × 23 × 109)See below for interesting mathematical facts about the number 138198375 from the Numbermatics database.
Names of 138198375
- Cardinal: 138198375 can be written as One hundred thirty-eight million, one hundred ninety-eight thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.38198375 × 108
Factors of 138198375
Divisors of 138198375
- Number of divisors d(n): 144
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Complete list of divisors:
1 3 5 7 9 15 21 23 25 35 45 49 63 69 75 105 109 115 125 147 161 175 207 225 245 315 327 345 375 441 483 525 545 575 735 763 805 875 981 1035 1125 1127 1225 1449 1575 1635 1725 2205 2289 2415 2507 2625 2725 2875 3381 3675 3815 4025 4905 5175 5341 5635 6125 6867 7245 7521 7875 8175 8625 10143 11025 11445 12075 12535 13625 16023 16905 17549 18375 19075 20125 22563 24525 25875 26705 28175 34335 36225 37605 40875 48069 50715 52647 55125 57225 60375 62675 80115 84525 87745 95375 112815 122625 122843 133525 140875 157941 171675 181125 188025 240345 253575 263235 286125 313375 368529 400575 422625 438725 564075 614215 667625 789705 858375 940125 1105587 1201725 1267875 1316175 1842645 2002875 2193625 2820375 3071075 3948525 5527935 6008625 6580875 9213225 15355375 19742625 27639675 46066125 138198375
- Sum of all divisors σ(n): 305173440
- Sum of proper divisors (its aliquot sum) s(n): 166975065
- 138198375 is an abundant number, because the sum of its proper divisors (166975065) is greater than itself. Its abundance is 28776690
Bases of 138198375
- Binary: 10000011110010111101011001112
- Hexadecimal: 0x83CBD67
- Base-36: 2AA2JR
Squares and roots of 138198375
- 138198375 squared (1381983752) is 19098790852640625
- 138198375 cubed (1381983753) is 2639421860299798833984375
-
The
square root of 138198375 is 11755.7804930169 -
The
cube root of 138198375 is 517.0124232081
Scales and comparisons
How big is 138198375?- 138,198,375 seconds is equal to 4 years, 20 weeks, 3 days, 12 hours, 26 minutes, 15 seconds.
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To count from 1 to 138,198,375 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 138198375 cubic inches would be around 43.1 feet tall.
Recreational maths with 138198375
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