1314403200
1,314,403,200 is an even composite number composed of five prime numbers multiplied together.
1314403200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 1314403200:
27 × 34 × 52 × 11 × 461
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 461)See below for interesting mathematical facts about the number 1314403200 from the Numbermatics database.
Names of 1314403200
- Cardinal: 1314403200 can be written as One billion, three hundred fourteen million, four hundred three thousand, two hundred.
Scientific notation
- Scientific notation: 1.3144032 × 109
Factors of 1314403200
Divisors of 1314403200
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 128 132 135 144 150 160 162 165 176 180 192 198 200 216 220 225 240 264 270 275 288 297 300 320 324 330 352 360 384 396 400 405 432 440 450 461 480 495 528 540 550 576 594 600 640 648 660 675 704 720 792 800 810 825 864 880 891 900 922 960 990 1056 1080 1100 1152 1188 1200 1296 1320 1350 1383 1408 1440 1485 1584 1600 1620 1650 1728 1760 1782 1800 1844 1920 1980 2025 2112 2160 2200 2305 2376 2400 2475 2592 2640 2700 2766 2880 2970 3168 3200 3240 3300 3456 3520 3564 3600 3688 3960 4050 4149 4224 4320 4400 4455 4610 4752 4800 4950 5071 5184 5280 5400 5532 5760 5940 6336 6480 6600 6915 7040 7128 7200 7376 7425 7920 8100 8298 8640 8800 8910 9220 9504 9600 9900 10142 10368 10560 10800 11064 11525 11880 12447 12672 12960 13200 13830 14256 14400 14752 14850 15213 15840 16200 16596 17280 17600 17820 18440 19008 19800 20284 20745 21120 21600 22128 22275 23050 23760 24894 25355 25920 26400 27660 28512 28800 29504 29700 30426 31680 32400 33192 34575 35200 35640 36880 37341 38016 39600 40568 41490 43200 44256 44550 45639 46100 47520 49788 50710 51840 52800 55320 57024 59008 59400 60852 62235 63360 64800 66384 69150 71280 73760 74682 76065 79200 81136 82980 86400 88512 89100 91278 92200 95040 99576 101420 103725 105600 110640 114048 118800 121704 124470 126775 129600 132768 136917 138300 142560 147520 149364 152130 158400 162272 165960 177024 178200 182556 184400 186705 190080 199152 202840 207450 221280 228195 237600 243408 248940 253550 259200 265536 273834 276600 285120 295040 298728 304260 311175 316800 324544 331920 356400 365112 368800 373410 380325 398304 405680 410751 414900 442560 456390 475200 486816 497880 507100 531072 547668 553200 570240 597456 608520 622350 649088 663840 684585 712800 730224 737600 746820 760650 796608 811360 821502 829800 885120 912780 933525 950400 973632 995760 1014200 1095336 1106400 1140975 1194912 1217040 1244700 1327680 1369170 1425600 1460448 1475200 1493640 1521300 1593216 1622720 1643004 1659600 1825560 1867050 1947264 1991520 2028400 2053755 2190672 2212800 2281950 2389824 2434080 2489400 2655360 2738340 2851200 2920896 2987280 3042600 3245440 3286008 3319200 3422925 3651120 3734100 3983040 4056800 4107510 4381344 4425600 4563900 4779648 4868160 4978800 5476680 5841792 5974560 6085200 6572016 6638400 6845850 7302240 7468200 7966080 8113600 8215020 8762688 9127800 9736320 9957600 10268775 10953360 11949120 12170400 13144032 13276800 13691700 14604480 14936400 16227200 16430040 17525376 18255600 19915200 20537550 21906720 23898240 24340800 26288064 27383400 29208960 29872800 32860080 36511200 39830400 41075100 43813440 48681600 52576128 54766800 59745600 65720160 73022400 82150200 87626880 109533600 119491200 131440320 146044800 164300400 219067200 262880640 328600800 438134400 657201600 1314403200
- Sum of all divisors σ(n): 5302863720
- Sum of proper divisors (its aliquot sum) s(n): 3988460520
- 1314403200 is an abundant number, because the sum of its proper divisors (3988460520) is greater than itself. Its abundance is 2674057320
Bases of 1314403200
- Binary: 10011100101100000110011100000002
- Hexadecimal: 0x4E583380
- Base-36: LQK800
Squares and roots of 1314403200
- 1314403200 squared (13144032002) is 1727655772170240000
- 1314403200 cubed (13144032003) is 2270836275439034400768000000
-
The
square root of 1314403200 is 36254.6990057841 -
The
cube root of 1314403200 is 1095.4087421325
Scales and comparisons
How big is 1314403200?- 1,314,403,200 seconds is equal to 41 years, 41 weeks, 2 days.
-
To count from 1 to 1,314,403,200 would take you about eighty-three 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 1314403200 cubic inches would be around 91.3 feet tall.
Recreational maths with 1314403200
- 1314403200 backwards is 0023044131
- 1314403200 is a
Harshad number . - The number of decimal digits it has is: 10
- The sum of 1314403200's digits is 18
- More coming soon!
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 1314403200 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
APA style:
Numbermatics. (2024). Number 1314403200 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/1314403200/
Chicago style:
Numbermatics. 2024. "Number 1314403200 - Facts about the integer". https://numbermatics.com/n/1314403200/
The information we have on file for 1314403200 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 1314403200, math, Factors of 1314403200, curriculum, school, college, exams, university, Prime factorization of 1314403200, STEM, science, technology, engineering, physics, economics, calculator, one billion, three hundred fourteen million, four hundred three thousand, two hundred.