122213952
122,213,952 is an even composite number composed of five prime numbers multiplied together.
122213952 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 122213952:
26 × 32 × 7 × 17 × 1783
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 17 × 1783)See below for interesting mathematical facts about the number 122213952 from the Numbermatics database.
Names of 122213952
- Cardinal: 122213952 can be written as One hundred twenty-two million, two hundred thirteen thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 1.22213952 × 108
Factors of 122213952
Divisors of 122213952
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 64 68 72 84 96 102 112 119 126 136 144 153 168 192 204 224 238 252 272 288 306 336 357 408 448 476 504 544 576 612 672 714 816 952 1008 1071 1088 1224 1344 1428 1632 1783 1904 2016 2142 2448 2856 3264 3566 3808 4032 4284 4896 5349 5712 7132 7616 8568 9792 10698 11424 12481 14264 16047 17136 21396 22848 24962 28528 30311 32094 34272 37443 42792 49924 57056 60622 64188 68544 74886 85584 90933 99848 112329 114112 121244 128376 149772 171168 181866 199696 212177 224658 242488 256752 272799 299544 342336 363732 399392 424354 449316 484976 513504 545598 599088 636531 727464 798784 848708 898632 969952 1027008 1091196 1198176 1273062 1454928 1697416 1797264 1909593 1939904 2182392 2396352 2546124 2909856 3394832 3594528 3819186 4364784 5092248 5819712 6789664 7189056 7638372 8729568 10184496 13579328 15276744 17459136 20368992 30553488 40737984 61106976 122213952
- Sum of all divisors σ(n): 424135296
- Sum of proper divisors (its aliquot sum) s(n): 301921344
- 122213952 is an abundant number, because the sum of its proper divisors (301921344) is greater than itself. Its abundance is 179707392
Bases of 122213952
- Binary: 1110100100011010110010000002
- Hexadecimal: 0x748D640
- Base-36: 20RGW0
Squares and roots of 122213952
- 122213952 squared (1222139522) is 14936250063458304
- 122213952 cubed (1222139523) is 1825418148315490119057408
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The
square root of 122213952 is 11055.0419266505 -
The
cube root of 122213952 is 496.2573239869
Scales and comparisons
How big is 122213952?- 122,213,952 seconds is equal to 3 years, 46 weeks, 12 hours, 19 minutes, 12 seconds.
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To count from 1 to 122,213,952 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 122213952 cubic inches would be around 41.4 feet tall.
Recreational maths with 122213952
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