1268438400
1,268,438,400 is an even composite number composed of five prime numbers multiplied together.
1268438400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 1268438400:
27 × 33 × 52 × 53 × 277
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 53 × 277)See below for interesting mathematical facts about the number 1268438400 from the Numbermatics database.
Names of 1268438400
- Cardinal: 1268438400 can be written as One billion, two hundred sixty-eight million, four hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.2684384 × 109
Factors of 1268438400
Divisors of 1268438400
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 53 54 60 64 72 75 80 90 96 100 106 108 120 128 135 144 150 159 160 180 192 200 212 216 225 240 265 270 277 288 300 318 320 360 384 400 424 432 450 477 480 530 540 554 576 600 636 640 675 720 795 800 831 848 864 900 954 960 1060 1080 1108 1152 1200 1272 1325 1350 1385 1431 1440 1590 1600 1662 1696 1728 1800 1908 1920 2120 2160 2216 2385 2400 2493 2544 2650 2700 2770 2862 2880 3180 3200 3324 3392 3456 3600 3816 3975 4155 4240 4320 4432 4770 4800 4986 5088 5300 5400 5540 5724 5760 6360 6648 6784 6925 7155 7200 7479 7632 7950 8310 8480 8640 8864 9540 9600 9972 10176 10600 10800 11080 11448 11925 12465 12720 13296 13850 14310 14400 14681 14958 15264 15900 16620 16960 17280 17728 19080 19944 20352 20775 21200 21600 22160 22896 23850 24930 25440 26592 27700 28620 28800 29362 29916 30528 31800 33240 33920 35456 35775 37395 38160 39888 41550 42400 43200 44043 44320 45792 47700 49860 50880 53184 55400 57240 58724 59832 61056 62325 63600 66480 71550 73405 74790 76320 79776 83100 84800 86400 88086 88640 91584 95400 99720 101760 106368 110800 114480 117448 119664 124650 127200 132129 132960 143100 146810 149580 152640 159552 166200 169600 176172 177280 183168 186975 190800 199440 220215 221600 228960 234896 239328 249300 254400 264258 265920 286200 293620 299160 305280 319104 332400 352344 367025 373950 381600 396387 398880 440430 443200 457920 469792 478656 498600 508800 528516 531840 572400 587240 598320 660645 664800 704688 734050 747900 763200 792774 797760 880860 886400 915840 939584 957312 997200 1057032 1101075 1144800 1174480 1196640 1321290 1329600 1409376 1468100 1495800 1526400 1585548 1595520 1761720 1879168 1981935 1994400 2114064 2202150 2289600 2348960 2393280 2642580 2659200 2818752 2936200 2991600 3171096 3303225 3523440 3963870 3988800 4228128 4404300 4579200 4697920 4786560 5285160 5637504 5872400 5983200 6342192 6606450 7046880 7927740 7977600 8456256 8808600 9395840 9909675 10570320 11744800 11966400 12684384 13212900 14093760 15855480 16912512 17617200 19819350 21140640 23489600 23932800 25368768 26425800 28187520 31710960 35234400 39638700 42281280 46979200 50737536 52851600 63421920 70468800 79277400 84562560 105703200 126843840 140937600 158554800 211406400 253687680 317109600 422812800 634219200 1268438400
- Sum of all divisors σ(n): 4746794400
- Sum of proper divisors (its aliquot sum) s(n): 3478356000
- 1268438400 is an abundant number, because the sum of its proper divisors (3478356000) is greater than itself. Its abundance is 2209917600
Bases of 1268438400
- Binary: 10010111001101011010101100000002
- Hexadecimal: 0x4B9AD580
- Base-36: KZ71C0
Squares and roots of 1268438400
- 1268438400 squared (12684384002) is 1608935974594560000
- 1268438400 cubed (12684384003) is 2040836173317164335104000000
-
The
square root of 1268438400 is 35615.1428468287 -
The
cube root of 1268438400 is 1082.4880907259
Scales and comparisons
How big is 1268438400?- 1,268,438,400 seconds is equal to 40 years, 17 weeks, 2 days.
-
To count from 1 to 1,268,438,400 would take you about eighty 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 1268438400 cubic inches would be around 90.2 feet tall.
Recreational maths with 1268438400
- 1268438400 backwards is 0048348621
- 1268438400 is a
Harshad number . - The number of decimal digits it has is: 10
- The sum of 1268438400's digits is 36
- 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 1268438400 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 1268438400 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/1268438400/
Chicago style:
Numbermatics. 2024. "Number 1268438400 - Facts about the integer". https://numbermatics.com/n/1268438400/
The information we have on file for 1268438400 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 1268438400, math, Factors of 1268438400, curriculum, school, college, exams, university, Prime factorization of 1268438400, STEM, science, technology, engineering, physics, economics, calculator, one billion, two hundred sixty-eight million, four hundred thirty-eight thousand, four hundred.