123381120
123,381,120 is an even composite number composed of five prime numbers multiplied together.
123381120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 123381120:
27 × 3 × 5 × 179 × 359
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 179 × 359)See below for interesting mathematical facts about the number 123381120 from the Numbermatics database.
Names of 123381120
- Cardinal: 123381120 can be written as One hundred twenty-three million, three hundred eighty-one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.2338112 × 108
Factors of 123381120
Divisors of 123381120
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 179 192 240 320 358 359 384 480 537 640 716 718 895 960 1074 1077 1432 1436 1790 1795 1920 2148 2154 2685 2864 2872 3580 3590 4296 4308 5370 5385 5728 5744 7160 7180 8592 8616 10740 10770 11456 11488 14320 14360 17184 17232 21480 21540 22912 22976 28640 28720 34368 34464 42960 43080 45952 57280 57440 64261 68736 68928 85920 86160 114560 114880 128522 137856 171840 172320 192783 229760 257044 321305 343680 344640 385566 514088 642610 689280 771132 963915 1028176 1285220 1542264 1927830 2056352 2570440 3084528 3855660 4112704 5140880 6169056 7711320 8225408 10281760 12338112 15422640 20563520 24676224 30845280 41127040 61690560 123381120
- Sum of all divisors σ(n): 396576000
- Sum of proper divisors (its aliquot sum) s(n): 273194880
- 123381120 is an abundant number, because the sum of its proper divisors (273194880) is greater than itself. Its abundance is 149813760
Bases of 123381120
- Binary: 1110101101010100101100000002
- Hexadecimal: 0x75AA580
- Base-36: 21GHHC
Squares and roots of 123381120
- 123381120 squared (1233811202) is 15222900772454400
- 123381120 cubed (1233811203) is 1878218546954289020928000
-
The
square root of 123381120 is 11107.7054336167 -
The
cube root of 123381120 is 497.8321074015
Scales and comparisons
How big is 123381120?- 123,381,120 seconds is equal to 3 years, 48 weeks, 32 minutes.
-
To count from 1 to 123,381,120 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 123381120 cubic inches would be around 41.5 feet tall.
Recreational maths with 123381120
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