138122208
138,122,208 is an even composite number composed of five prime numbers multiplied together.
What does the number 138122208 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 144 divisors.
138122208 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 138122208:
25 × 32 × 7 × 131 × 523
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 131 × 523)See below for interesting mathematical facts about the number 138122208 from the Numbermatics database.
Names of 138122208
- Cardinal: 138122208 can be written as One hundred thirty-eight million, one hundred twenty-two thousand, two hundred eight.
Scientific notation
- Scientific notation: 1.38122208 × 108
Factors of 138122208
Divisors of 138122208
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 131 144 168 224 252 262 288 336 393 504 523 524 672 786 917 1008 1046 1048 1179 1569 1572 1834 2016 2092 2096 2358 2751 3138 3144 3661 3668 4184 4192 4707 4716 5502 6276 6288 7322 7336 8253 8368 9414 9432 10983 11004 12552 12576 14644 14672 16506 16736 18828 18864 21966 22008 25104 29288 29344 32949 33012 37656 37728 43932 44016 50208 58576 65898 66024 68513 75312 87864 88032 117152 131796 132048 137026 150624 175728 205539 263592 264096 274052 351456 411078 479591 527184 548104 616617 822156 959182 1054368 1096208 1233234 1438773 1644312 1918364 2192416 2466468 2877546 3288624 3836728 4316319 4932936 5755092 6577248 7673456 8632638 9865872 11510184 15346912 17265276 19731744 23020368 34530552 46040736 69061104 138122208
- Sum of all divisors σ(n): 453188736
- Sum of proper divisors (its aliquot sum) s(n): 315066528
- 138122208 is an abundant number, because the sum of its proper divisors (315066528) is greater than itself. Its abundance is 176944320
Bases of 138122208
- Binary: 10000011101110010011111000002
- Hexadecimal: 0x83B93E0
- Base-36: 2A8FS0
Squares and roots of 138122208
- 138122208 squared (1381222082) is 19077744342795264
- 138122208 cubed (1381222083) is 2635060172286390755622912
-
The
square root of 138122208 is 11752.5404913151 -
The
cube root of 138122208 is 516.9174232441
Scales and comparisons
How big is 138122208?- 138,122,208 seconds is equal to 4 years, 20 weeks, 2 days, 15 hours, 16 minutes, 48 seconds.
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To count from 1 to 138,122,208 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 138122208 cubic inches would be around 43.1 feet tall.
Recreational maths with 138122208
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