122268960
122,268,960 is an even composite number composed of six prime numbers multiplied together.
122268960 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 122268960:
25 × 33 × 5 × 11 × 31 × 83
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 31 × 83)See below for interesting mathematical facts about the number 122268960 from the Numbermatics database.
Names of 122268960
- Cardinal: 122268960 can be written as One hundred twenty-two million, two hundred sixty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.2226896 × 108
Factors of 122268960
Divisors of 122268960
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 31 32 33 36 40 44 45 48 54 55 60 62 66 72 80 83 88 90 93 96 99 108 110 120 124 132 135 144 155 160 165 166 176 180 186 198 216 220 240 248 249 264 270 279 288 297 310 330 332 341 352 360 372 396 415 432 440 465 480 495 496 498 528 540 558 594 620 660 664 682 720 744 747 792 830 837 864 880 913 930 990 992 996 1023 1056 1080 1116 1188 1240 1245 1320 1328 1364 1395 1440 1485 1488 1494 1584 1660 1674 1705 1760 1826 1860 1980 1992 2046 2160 2232 2241 2376 2480 2490 2573 2640 2656 2728 2739 2790 2970 2976 2988 3069 3168 3320 3348 3410 3652 3720 3735 3960 3984 4092 4185 4320 4464 4482 4565 4752 4960 4980 5115 5146 5280 5456 5478 5580 5940 5976 6138 6640 6696 6820 7304 7440 7470 7719 7920 7968 8184 8217 8370 8928 8964 9130 9207 9504 9960 10230 10292 10912 10956 11160 11205 11880 11952 12276 12865 13280 13392 13640 13695 14608 14880 14940 15345 15438 15840 16368 16434 16740 17928 18260 18414 19920 20460 20584 21912 22320 22410 23157 23760 23904 24552 24651 25730 26784 27280 27390 28303 29216 29880 30690 30876 32736 32868 33480 35856 36520 36828 38595 39840 40920 41085 41168 43824 44640 44820 46035 46314 47520 49104 49302 51460 54560 54780 56606 59760 61380 61752 65736 66960 69471 71712 73040 73656 77190 81840 82170 82336 84909 87648 89640 92070 92628 98208 98604 102920 109560 113212 115785 119520 122760 123255 123504 131472 133920 138942 141515 146080 147312 154380 163680 164340 169818 179280 184140 185256 197208 205840 219120 226424 231570 245520 246510 247008 254727 262944 277884 283030 294624 308760 328680 339636 347355 358560 368280 370512 394416 411680 424545 438240 452848 463140 491040 493020 509454 555768 566060 617520 657360 679272 694710 736560 741024 764181 788832 849090 905696 926280 986040 1018908 1111536 1132120 1235040 1273635 1314720 1358544 1389420 1473120 1528362 1698180 1852560 1972080 2037816 2223072 2264240 2547270 2717088 2778840 3056724 3396360 3705120 3820905 3944160 4075632 4528480 5094540 5557680 6113448 6792720 7641810 8151264 10189080 11115360 12226896 13585440 15283620 20378160 24453792 30567240 40756320 61134480 122268960
- Sum of all divisors σ(n): 487710720
- Sum of proper divisors (its aliquot sum) s(n): 365441760
- 122268960 is an abundant number, because the sum of its proper divisors (365441760) is greater than itself. Its abundance is 243172800
Bases of 122268960
- Binary: 1110100100110101101001000002
- Hexadecimal: 0x749AD20
- Base-36: 20SNC0
Squares and roots of 122268960
- 122268960 squared (1222689602) is 14949698579481600
- 122268960 cubed (1222689603) is 1827884097626692571136000
-
The
square root of 122268960 is 11057.5295613441 -
The
cube root of 122268960 is 496.3317672835
Scales and comparisons
How big is 122268960?- 122,268,960 seconds is equal to 3 years, 46 weeks, 1 day, 3 hours, 36 minutes.
-
To count from 1 to 122,268,960 would take you about 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 122268960 cubic inches would be around 41.4 feet tall.
Recreational maths with 122268960
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 122268960 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
APA style:
Numbermatics. (2024). Number 122268960 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/122268960/
Chicago style:
Numbermatics. 2024. "Number 122268960 - Facts about the integer". https://numbermatics.com/n/122268960/
The information we have on file for 122268960 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 122268960, math, Factors of 122268960, curriculum, school, college, exams, university, Prime factorization of 122268960, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-two million, two hundred sixty-eight thousand, nine hundred sixty.