122993120
122,993,120 is an even composite number composed of five prime numbers multiplied together.
122993120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 122993120:
25 × 5 × 31 × 137 × 181
(2 × 2 × 2 × 2 × 2 × 5 × 31 × 137 × 181)See below for interesting mathematical facts about the number 122993120 from the Numbermatics database.
Names of 122993120
- Cardinal: 122993120 can be written as One hundred twenty-two million, nine hundred ninety-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.2299312 × 108
Factors of 122993120
Divisors of 122993120
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 8 10 16 20 31 32 40 62 80 124 137 155 160 181 248 274 310 362 496 548 620 685 724 905 992 1096 1240 1370 1448 1810 2192 2480 2740 2896 3620 4247 4384 4960 5480 5611 5792 7240 8494 10960 11222 14480 16988 21235 21920 22444 24797 28055 28960 33976 42470 44888 49594 56110 67952 84940 89776 99188 112220 123985 135904 169880 179552 198376 224440 247970 339760 396752 448880 495940 679520 768707 793504 897760 991880 1537414 1983760 3074828 3843535 3967520 6149656 7687070 12299312 15374140 24598624 30748280 61496560 122993120
- Sum of all divisors σ(n): 303803136
- Sum of proper divisors (its aliquot sum) s(n): 180810016
- 122993120 is an abundant number, because the sum of its proper divisors (180810016) is greater than itself. Its abundance is 57816896
Bases of 122993120
- Binary: 1110101010010111001111000002
- Hexadecimal: 0x754B9E0
- Base-36: 21863K
Squares and roots of 122993120
- 122993120 squared (1229931202) is 15127307567334400
- 122993120 cubed (1229931203) is 1860554754906067939328000
-
The
square root of 122993120 is 11090.2263277179 -
The
cube root of 122993120 is 497.3097106483
Scales and comparisons
How big is 122993120?- 122,993,120 seconds is equal to 3 years, 47 weeks, 2 days, 12 hours, 45 minutes, 20 seconds.
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To count from 1 to 122,993,120 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 122993120 cubic inches would be around 41.4 feet tall.
Recreational maths with 122993120
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