122338944
122,338,944 is an even composite number composed of five prime numbers multiplied together.
122338944 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 122338944:
27 × 33 × 7 × 13 × 389
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 389)See below for interesting mathematical facts about the number 122338944 from the Numbermatics database.
Names of 122338944
- Cardinal: 122338944 can be written as One hundred twenty-two million, three hundred thirty-eight thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 1.22338944 × 108
Factors of 122338944
Divisors of 122338944
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 84 91 96 104 108 112 117 126 128 144 156 168 182 189 192 208 216 224 234 252 273 288 312 336 351 364 378 384 389 416 432 448 468 504 546 576 624 672 702 728 756 778 819 832 864 896 936 1008 1092 1152 1167 1248 1344 1404 1456 1512 1556 1638 1664 1728 1872 2016 2184 2334 2457 2496 2688 2723 2808 2912 3024 3112 3276 3456 3501 3744 4032 4368 4668 4914 4992 5057 5446 5616 5824 6048 6224 6552 7002 7488 8064 8169 8736 9336 9828 10114 10503 10892 11232 11648 12096 12448 13104 14004 14976 15171 16338 17472 18672 19656 20228 21006 21784 22464 24192 24507 24896 26208 28008 30342 32676 34944 35399 37344 39312 40456 42012 43568 44928 45513 49014 49792 52416 56016 60684 65352 70798 73521 74688 78624 80912 84024 87136 91026 98028 104832 106197 112032 121368 130704 136539 141596 147042 149376 157248 161824 168048 174272 182052 196056 212394 224064 242736 261408 273078 283192 294084 314496 318591 323648 336096 348544 364104 392112 424788 448128 485472 522816 546156 566384 588168 637182 647296 672192 728208 784224 849576 955773 970944 1045632 1092312 1132768 1176336 1274364 1344384 1456416 1568448 1699152 1911546 1941888 2184624 2265536 2352672 2548728 2912832 3136896 3398304 3823092 4369248 4531072 4705344 5097456 5825664 6796608 7646184 8738496 9410688 10194912 13593216 15292368 17476992 20389824 30584736 40779648 61169472 122338944
- Sum of all divisors σ(n): 445536000
- Sum of proper divisors (its aliquot sum) s(n): 323197056
- 122338944 is an abundant number, because the sum of its proper divisors (323197056) is greater than itself. Its abundance is 200858112
Bases of 122338944
- Binary: 1110100101010111110100000002
- Hexadecimal: 0x74ABE80
- Base-36: 20U5C0
Squares and roots of 122338944
- 122338944 squared (1223389442) is 14966817219035136
- 122338944 cubed (1223389443) is 1831024613617775237136384
-
The
square root of 122338944 is 11060.6936491343 -
The
cube root of 122338944 is 496.4264455983
Scales and comparisons
How big is 122338944?- 122,338,944 seconds is equal to 3 years, 46 weeks, 1 day, 23 hours, 2 minutes, 24 seconds.
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To count from 1 to 122,338,944 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 122338944 cubic inches would be around 41.4 feet tall.
Recreational maths with 122338944
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