314138400
314,138,400 is an even composite number composed of five prime numbers multiplied together.
314138400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 314138400:
25 × 3 × 52 × 19 × 832
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 19 × 83 × 83)See below for interesting mathematical facts about the number 314138400 from the Numbermatics database.
Names of 314138400
- Cardinal: 314138400 can be written as Three hundred fourteen million, one hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 3.141384 × 108
Factors of 314138400
Divisors of 314138400
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 75 76 80 83 95 96 100 114 120 150 152 160 166 190 200 228 240 249 285 300 304 332 380 400 415 456 475 480 498 570 600 608 664 760 800 830 912 950 996 1140 1200 1245 1328 1425 1520 1577 1660 1824 1900 1992 2075 2280 2400 2490 2656 2850 3040 3154 3320 3800 3984 4150 4560 4731 4980 5700 6225 6308 6640 6889 7600 7885 7968 8300 9120 9462 9960 11400 12450 12616 13280 13778 15200 15770 16600 18924 19920 20667 22800 23655 24900 25232 27556 31540 33200 34445 37848 39425 39840 41334 45600 47310 49800 50464 55112 63080 66400 68890 75696 78850 82668 94620 99600 103335 110224 118275 126160 130891 137780 151392 157700 165336 172225 189240 199200 206670 220448 236550 252320 261782 275560 315400 330672 344450 378480 392673 413340 473100 516675 523564 551120 630800 654455 661344 688900 756960 785346 826680 946200 1033350 1047128 1102240 1261600 1308910 1377800 1570692 1653360 1892400 1963365 2066700 2094256 2617820 2755600 3141384 3272275 3306720 3784800 3926730 4133400 4188512 5235640 5511200 6282768 6544550 7853460 8266800 9816825 10471280 12565536 13089100 15706920 16533600 19633650 20942560 26178200 31413840 39267300 52356400 62827680 78534600 104712800 157069200 314138400
- Sum of all divisors σ(n): 1089461520
- Sum of proper divisors (its aliquot sum) s(n): 775323120
- 314138400 is an abundant number, because the sum of its proper divisors (775323120) is greater than itself. Its abundance is 461184720
Bases of 314138400
- Binary: 100101011100101011111001000002
- Hexadecimal: 0x12B95F20
- Base-36: 5712QO
Squares and roots of 314138400
- 314138400 squared (3141384002) is 98682934354560000
- 314138400 cubed (3141384003) is 31000099105446511104000000
-
The
square root of 314138400 is 17723.9498983719 -
The
cube root of 314138400 is 679.7882847245
Scales and comparisons
How big is 314138400?- 314,138,400 seconds is equal to 9 years, 51 weeks, 2 days, 20 hours, 40 minutes.
-
To count from 1 to 314,138,400 would take you about fourteen 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 314138400 cubic inches would be around 56.6 feet tall.
Recreational maths with 314138400
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 314138400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 314138400 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/314138400/
Chicago style:
Numbermatics. 2024. "Number 314138400 - Facts about the integer". https://numbermatics.com/n/314138400/
The information we have on file for 314138400 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 314138400, math, Factors of 314138400, curriculum, school, college, exams, university, Prime factorization of 314138400, STEM, science, technology, engineering, physics, economics, calculator, three hundred fourteen million, one hundred thirty-eight thousand, four hundred.