138083400
138,083,400 is an even composite number composed of six prime numbers multiplied together.
138083400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138083400:
23 × 33 × 52 × 7 × 13 × 281
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 281)See below for interesting mathematical facts about the number 138083400 from the Numbermatics database.
Names of 138083400
- Cardinal: 138083400 can be written as One hundred thirty-eight million, eighty-three thousand, four hundred.
Scientific notation
- Scientific notation: 1.380834 × 108
Factors of 138083400
Divisors of 138083400
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 20 21 24 25 26 27 28 30 35 36 39 40 42 45 50 52 54 56 60 63 65 70 72 75 78 84 90 91 100 104 105 108 117 120 126 130 135 140 150 156 168 175 180 182 189 195 200 210 216 225 234 252 260 270 273 280 281 300 312 315 325 350 351 360 364 378 390 420 450 455 468 504 520 525 540 546 562 585 600 630 650 675 700 702 728 756 780 819 840 843 900 910 936 945 975 1050 1080 1092 1124 1170 1260 1300 1350 1365 1400 1404 1405 1512 1560 1575 1638 1686 1755 1800 1820 1890 1950 1967 2100 2184 2248 2275 2340 2457 2520 2529 2600 2700 2730 2808 2810 2925 3150 3276 3372 3510 3640 3653 3780 3900 3934 4095 4200 4215 4550 4680 4725 4914 5058 5400 5460 5620 5850 5901 6300 6552 6744 6825 7020 7025 7306 7560 7587 7800 7868 8190 8430 8775 9100 9450 9828 9835 10116 10920 10959 11240 11700 11802 12285 12600 12645 13650 14040 14050 14612 15174 15736 16380 16860 17550 17703 18200 18265 18900 19656 19670 20232 20475 21075 21918 23400 23604 24570 25290 25571 27300 28100 29224 29505 30348 32760 32877 33720 35100 35406 36530 37800 37935 39340 40950 42150 43836 47208 49140 49175 50580 51142 53109 54600 54795 56200 59010 60696 61425 63225 65754 70200 70812 73060 75870 76713 78680 81900 84300 87672 88515 91325 98280 98350 98631 101160 102284 106218 109590 118020 122850 126450 127855 131508 141624 146120 147525 151740 153426 163800 164385 168600 177030 182650 189675 196700 197262 204568 212436 219180 230139 236040 245700 252900 255710 263016 265545 273975 295050 303480 306852 328770 354060 365300 379350 383565 393400 394524 424872 438360 442575 460278 491400 493155 505800 511420 531090 547950 590100 613704 639275 657540 690417 708120 730600 758700 767130 789048 821925 885150 920556 986310 1022840 1062180 1095900 1150695 1180200 1278550 1315080 1327725 1380834 1517400 1534260 1643850 1770300 1841112 1917825 1972620 2124360 2191800 2301390 2465775 2557100 2655450 2761668 3068520 3287700 3452085 3540600 3835650 3945240 4602780 4931550 5114200 5310900 5523336 5753475 6575400 6904170 7671300 9205560 9863100 10621800 11506950 13808340 15342600 17260425 19726200 23013900 27616680 34520850 46027800 69041700 138083400
- Sum of all divisors σ(n): 587462400
- Sum of proper divisors (its aliquot sum) s(n): 449379000
- 138083400 is an abundant number, because the sum of its proper divisors (449379000) is greater than itself. Its abundance is 311295600
Bases of 138083400
- Binary: 10000011101011111100010010002
- Hexadecimal: 0x83AFC48
- Base-36: 2A7LU0
Squares and roots of 138083400
- 138083400 squared (1380834002) is 19067025355560000
- 138083400 cubed (1380834003) is 2632839688981933704000000
-
The
square root of 138083400 is 11750.8893280467 -
The
cube root of 138083400 is 516.8690061919
Scales and comparisons
How big is 138083400?- 138,083,400 seconds is equal to 4 years, 20 weeks, 2 days, 4 hours, 30 minutes.
-
To count from 1 to 138,083,400 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 138083400 cubic inches would be around 43.1 feet tall.
Recreational maths with 138083400
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138083400 - Facts about the integer". Numbermatics.com. 2024. Web. 28 April 2024.
APA style:
Numbermatics. (2024). Number 138083400 - Facts about the integer. Retrieved 28 April 2024, from https://numbermatics.com/n/138083400/
Chicago style:
Numbermatics. 2024. "Number 138083400 - Facts about the integer". https://numbermatics.com/n/138083400/
The information we have on file for 138083400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138083400, math, Factors of 138083400, curriculum, school, college, exams, university, Prime factorization of 138083400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight million, eighty-three thousand, four hundred.