122238480
122,238,480 is an even composite number composed of seven prime numbers multiplied together.
122238480 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 122238480:
24 × 3 × 5 × 7 × 13 × 29 × 193
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 29 × 193)See below for interesting mathematical facts about the number 122238480 from the Numbermatics database.
Names of 122238480
- Cardinal: 122238480 can be written as One hundred twenty-two million, two hundred thirty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.2223848 × 108
Factors of 122238480
Divisors of 122238480
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 29 30 35 39 40 42 48 52 56 58 60 65 70 78 80 84 87 91 104 105 112 116 120 130 140 145 156 168 174 182 193 195 203 208 210 232 240 260 273 280 290 312 336 348 364 377 386 390 406 420 435 455 464 520 546 560 579 580 609 624 696 728 754 772 780 812 840 870 910 965 1015 1040 1092 1131 1158 1160 1218 1351 1365 1392 1456 1508 1544 1560 1624 1680 1740 1820 1885 1930 2030 2184 2262 2316 2320 2436 2509 2639 2702 2730 2895 3016 3045 3088 3120 3248 3480 3640 3770 3860 4053 4060 4368 4524 4632 4872 5018 5278 5404 5460 5597 5655 5790 6032 6090 6755 6960 7280 7527 7540 7720 7917 8106 8120 9048 9264 9744 10036 10556 10808 10920 11194 11310 11580 12180 12545 13195 13510 15054 15080 15440 15834 16212 16240 16791 17563 18096 20072 20265 21112 21616 21840 22388 22620 23160 24360 25090 26390 27020 27985 30108 30160 31668 32424 33582 35126 37635 39179 39585 40144 40530 42224 44776 45240 46320 48720 50180 52689 52780 54040 55970 60216 63336 64848 67164 70252 72761 75270 78358 79170 81060 83955 87815 89552 90480 100360 105378 105560 108080 111940 117537 120432 126672 134328 140504 145522 150540 156716 158340 162120 167910 175630 195895 200720 210756 211120 218283 223880 235074 263445 268656 281008 291044 301080 313432 316680 324240 335820 351260 363805 391790 421512 436566 447760 470148 509327 526890 582088 587685 602160 626864 633360 671640 702520 727610 783580 843024 873132 940296 1018654 1053780 1091415 1164176 1175370 1343280 1405040 1455220 1527981 1567160 1746264 1880592 2037308 2107560 2182830 2350740 2546635 2910440 3055962 3134320 3492528 4074616 4215120 4365660 4701480 5093270 5820880 6111924 7639905 8149232 8731320 9402960 10186540 12223848 15279810 17462640 20373080 24447696 30559620 40746160 61119240 122238480
- Sum of all divisors σ(n): 484968960
- Sum of proper divisors (its aliquot sum) s(n): 362730480
- 122238480 is an abundant number, because the sum of its proper divisors (362730480) is greater than itself. Its abundance is 240492000
Bases of 122238480
- Binary: 1110100100100110110000100002
- Hexadecimal: 0x7493610
- Base-36: 20RZTC
Squares and roots of 122238480
- 122238480 squared (1222384802) is 14942245992710400
- 122238480 cubed (1222384803) is 1826517437935010376192000
-
The
square root of 122238480 is 11056.1512290671 -
The
cube root of 122238480 is 496.2905209207
Scales and comparisons
How big is 122238480?- 122,238,480 seconds is equal to 3 years, 46 weeks, 19 hours, 8 minutes.
-
To count from 1 to 122,238,480 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 122238480 cubic inches would be around 41.4 feet tall.
Recreational maths with 122238480
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 122238480 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
APA style:
Numbermatics. (2024). Number 122238480 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/122238480/
Chicago style:
Numbermatics. 2024. "Number 122238480 - Facts about the integer". https://numbermatics.com/n/122238480/
The information we have on file for 122238480 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 122238480, math, Factors of 122238480, curriculum, school, college, exams, university, Prime factorization of 122238480, STEM, science, technology, engineering, physics, economics, calculator, one hundred twenty-two million, two hundred thirty-eight thousand, four hundred eighty.