122905728
122,905,728 is an even composite number composed of five prime numbers multiplied together.
122905728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 122905728:
27 × 33 × 11 × 53 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 53 × 61)See below for interesting mathematical facts about the number 122905728 from the Numbermatics database.
Names of 122905728
- Cardinal: 122905728 can be written as One hundred twenty-two million, nine hundred five thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.22905728 × 108
Factors of 122905728
Divisors of 122905728
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 53 54 61 64 66 72 88 96 99 106 108 122 128 132 144 159 176 183 192 198 212 216 244 264 288 297 318 352 366 384 396 424 432 477 488 528 549 576 583 594 636 671 704 732 792 848 864 954 976 1056 1098 1152 1166 1188 1272 1342 1408 1431 1464 1584 1647 1696 1728 1749 1908 1952 2013 2112 2196 2332 2376 2544 2684 2862 2928 3168 3233 3294 3392 3456 3498 3816 3904 4026 4224 4392 4664 4752 5088 5247 5368 5724 5856 6039 6336 6466 6588 6784 6996 7632 7808 8052 8784 9328 9504 9699 10176 10494 10736 11448 11712 12078 12672 12932 13176 13992 15264 15741 16104 17568 18117 18656 19008 19398 20352 20988 21472 22896 23424 24156 25864 26352 27984 29097 30528 31482 32208 35136 35563 36234 37312 38016 38796 41976 42944 45792 48312 51728 52704 55968 58194 61056 62964 64416 70272 71126 72468 74624 77592 83952 85888 87291 91584 96624 103456 105408 106689 111936 116388 125928 128832 142252 144936 155184 167904 174582 183168 193248 206912 210816 213378 223872 232776 251856 257664 284504 289872 310368 320067 335808 349164 386496 413824 426756 465552 503712 569008 579744 620736 640134 671616 698328 772992 853512 931104 960201 1007424 1138016 1159488 1241472 1280268 1396656 1707024 1862208 1920402 2014848 2276032 2318976 2560536 2793312 3414048 3724416 3840804 4552064 5121072 5586624 6828096 7681608 10242144 11173248 13656192 15363216 20484288 30726432 40968576 61452864 122905728
- Sum of all divisors σ(n): 409795200
- Sum of proper divisors (its aliquot sum) s(n): 286889472
- 122905728 is an abundant number, because the sum of its proper divisors (286889472) is greater than itself. Its abundance is 163983744
Bases of 122905728
- Binary: 1110101001101100100100000002
- Hexadecimal: 0x7536480
- Base-36: 216AO0
Squares and roots of 122905728
- 122905728 squared (1229057282) is 15105817975209984
- 122905728 cubed (1229057283) is 1856591555278669036388352
-
The
square root of 122905728 is 11086.2855817447 -
The
cube root of 122905728 is 497.1918959609
Scales and comparisons
How big is 122905728?- 122,905,728 seconds is equal to 3 years, 47 weeks, 1 day, 12 hours, 28 minutes, 48 seconds.
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To count from 1 to 122,905,728 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 122905728 cubic inches would be around 41.4 feet tall.
Recreational maths with 122905728
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"Number 122905728 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
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The information we have on file for 122905728 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!
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