138738432
138,738,432 is an even composite number composed of five prime numbers multiplied together.
138738432 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 138738432:
28 × 3 × 7 × 131 × 197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 131 × 197)See below for interesting mathematical facts about the number 138738432 from the Numbermatics database.
Names of 138738432
- Cardinal: 138738432 can be written as One hundred thirty-eight million, seven hundred thirty-eight thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 1.38738432 × 108
Factors of 138738432
Divisors of 138738432
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 131 168 192 197 224 256 262 336 384 393 394 448 524 591 672 768 786 788 896 917 1048 1182 1344 1379 1572 1576 1792 1834 2096 2364 2688 2751 2758 3144 3152 3668 4137 4192 4728 5376 5502 5516 6288 6304 7336 8274 8384 9456 11004 11032 12576 12608 14672 16548 16768 18912 22008 22064 25152 25216 25807 29344 33096 33536 37824 44016 44128 50304 50432 51614 58688 66192 75648 77421 88032 88256 100608 103228 117376 132384 151296 154842 176064 176512 180649 206456 234752 264768 309684 352128 353024 361298 412912 529536 541947 619368 704256 722596 825824 1059072 1083894 1238736 1445192 1651648 2167788 2477472 2890384 3303296 4335576 4954944 5780768 6606592 8671152 9909888 11561536 17342304 19819776 23123072 34684608 46246144 69369216 138738432
- Sum of all divisors σ(n): 427375872
- Sum of proper divisors (its aliquot sum) s(n): 288637440
- 138738432 is an abundant number, because the sum of its proper divisors (288637440) is greater than itself. Its abundance is 149899008
Bases of 138738432
- Binary: 10000100010011111011000000002
- Hexadecimal: 0x844FB00
- Base-36: 2ALN9C
Squares and roots of 138738432
- 138738432 squared (1387384322) is 19248352513818624
- 138738432 cubed (1387384323) is 2670486246350454226157568
-
The
square root of 138738432 is 11778.7279449013 -
The
cube root of 138738432 is 517.6850149449
Scales and comparisons
How big is 138738432?- 138,738,432 seconds is equal to 4 years, 21 weeks, 2 days, 18 hours, 27 minutes, 12 seconds.
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To count from 1 to 138,738,432 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 138738432 cubic inches would be around 43.1 feet tall.
Recreational maths with 138738432
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