122401968
122,401,968 is an even composite number composed of five prime numbers multiplied together.
122401968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 122401968:
24 × 3 × 132 × 79 × 191
(2 × 2 × 2 × 2 × 3 × 13 × 13 × 79 × 191)See below for interesting mathematical facts about the number 122401968 from the Numbermatics database.
Names of 122401968
- Cardinal: 122401968 can be written as One hundred twenty-two million, four hundred one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.22401968 × 108
Factors of 122401968
Divisors of 122401968
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 79 104 156 158 169 191 208 237 312 316 338 382 474 507 573 624 632 676 764 948 1014 1027 1146 1264 1352 1528 1896 2028 2054 2292 2483 2704 3056 3081 3792 4056 4108 4584 4966 6162 7449 8112 8216 9168 9932 12324 13351 14898 15089 16432 19864 24648 26702 29796 30178 32279 39728 40053 45267 49296 53404 59592 60356 64558 80106 90534 96837 106808 119184 120712 129116 160212 181068 193674 196157 213616 241424 258232 320424 362136 387348 392314 516464 588471 640848 724272 774696 784628 1176942 1549392 1569256 2353884 2550041 3138512 4707768 5100082 7650123 9415536 10200164 15300246 20400328 30600492 40800656 61200984 122401968
- Sum of all divisors σ(n): 348549120
- Sum of proper divisors (its aliquot sum) s(n): 226147152
- 122401968 is an abundant number, because the sum of its proper divisors (226147152) is greater than itself. Its abundance is 103745184
Bases of 122401968
- Binary: 1110100101110110100101100002
- Hexadecimal: 0x74BB4B0
- Base-36: 20VHYO
Squares and roots of 122401968
- 122401968 squared (1224019682) is 14982241770273024
- 122401968 cubed (1224019683) is 1833855877733222034911232
-
The
square root of 122401968 is 11063.5422898817 -
The
cube root of 122401968 is 496.5116771369
Scales and comparisons
How big is 122401968?- 122,401,968 seconds is equal to 3 years, 46 weeks, 2 days, 16 hours, 32 minutes, 48 seconds.
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To count from 1 to 122,401,968 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 122401968 cubic inches would be around 41.4 feet tall.
Recreational maths with 122401968
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The information we have on file for 122401968 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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