1338733968
1,338,733,968 is an even composite number composed of seven prime numbers multiplied together.
1338733968 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 1338733968:
24 × 3 × 11 × 13 × 41 × 67 × 71
(2 × 2 × 2 × 2 × 3 × 11 × 13 × 41 × 67 × 71)See below for interesting mathematical facts about the number 1338733968 from the Numbermatics database.
Names of 1338733968
- Cardinal: 1338733968 can be written as One billion, three hundred thirty-eight million, seven hundred thirty-three thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.338733968 × 109
Factors of 1338733968
Divisors of 1338733968
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 41 44 48 52 66 67 71 78 82 88 104 123 132 134 142 143 156 164 176 201 208 213 246 264 268 284 286 312 328 402 426 429 451 492 528 533 536 568 572 624 656 737 781 804 852 858 871 902 923 984 1066 1072 1136 1144 1353 1474 1562 1599 1608 1704 1716 1742 1804 1846 1968 2132 2211 2288 2343 2613 2706 2747 2769 2911 2948 3124 3198 3216 3408 3432 3484 3608 3692 4264 4422 4686 4757 5226 5412 5494 5538 5822 5863 5896 6248 6396 6864 6968 7216 7384 8241 8528 8733 8844 9372 9514 9581 10153 10452 10824 10988 11076 11644 11726 11792 12496 12792 13936 14271 14768 16482 17466 17589 17688 18744 19028 19162 20306 20904 21648 21976 22152 23288 23452 25584 28542 28743 30217 30459 32021 32964 34932 35178 35376 35711 37488 37843 38056 38324 40612 41808 43952 44304 46576 46904 52327 57084 57486 60434 60918 61841 64042 65928 69864 70356 71422 75686 76112 76648 81224 90651 93808 96063 104654 107133 113529 114168 114972 120868 121836 123682 128084 131856 139728 140712 142844 151372 153296 156981 162448 181302 185523 192126 195037 209308 214266 227058 228336 229944 241736 243672 247364 256168 281424 285688 302744 313962 362604 371046 384252 390074 392821 416273 418616 428532 454116 459888 483472 487344 494728 512336 571376 585111 605488 627924 680251 725208 742092 768504 780148 785642 832546 837232 857064 908232 989456 1170222 1178463 1248819 1255848 1360502 1450416 1484184 1537008 1560296 1571284 1665092 1714128 1816464 2040753 2145407 2340444 2356926 2497638 2511696 2535481 2721004 2968368 3120592 3142568 3330184 4081506 4290814 4680888 4713852 4995276 5070962 5442008 6285136 6436221 6660368 7606443 8163012 8581628 9361776 9427704 9990552 10141924 10884016 12872442 15212886 16326024 17163256 18855408 19981104 20283848 25744884 27890291 30425772 32652048 34326512 40567696 51489768 55780582 60851544 83670873 102979536 111561164 121703088 167341746 223122328 334683492 446244656 669366984 1338733968
- Sum of all divisors σ(n): 4283725824
- Sum of proper divisors (its aliquot sum) s(n): 2944991856
- 1338733968 is an abundant number, because the sum of its proper divisors (2944991856) is greater than itself. Its abundance is 1606257888
Bases of 1338733968
- Binary: 10011111100101101110101100100002
- Hexadecimal: 0x4FCB7590
- Base-36: M51PQO
Squares and roots of 1338733968
- 1338733968 squared (13387339682) is 1792208637077025024
- 1338733968 cubed (13387339683) is 2399290580197997632014815232
-
The
square root of 1338733968 is 36588.7136696551 -
The
cube root of 1338733968 is 1102.1264563059
Scales and comparisons
How big is 1338733968?- 1,338,733,968 seconds is equal to 42 years, 29 weeks, 3 days, 14 hours, 32 minutes, 48 seconds.
-
To count from 1 to 1,338,733,968 would take you about eighty-five 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 1338733968 cubic inches would be around 91.8 feet tall.
Recreational maths with 1338733968
- 1338733968 backwards is 8693378331
- The number of decimal digits it has is: 10
- The sum of 1338733968's digits is 51
- 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 1338733968 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 1338733968 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/1338733968/
Chicago style:
Numbermatics. 2024. "Number 1338733968 - Facts about the integer". https://numbermatics.com/n/1338733968/
The information we have on file for 1338733968 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 1338733968, math, Factors of 1338733968, curriculum, school, college, exams, university, Prime factorization of 1338733968, STEM, science, technology, engineering, physics, economics, calculator, one billion, three hundred thirty-eight million, seven hundred thirty-three thousand, nine hundred sixty-eight.