123313920
123,313,920 is an even composite number composed of five prime numbers multiplied together.
123313920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 123313920:
28 × 3 × 5 × 17 × 1889
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 17 × 1889)See below for interesting mathematical facts about the number 123313920 from the Numbermatics database.
Names of 123313920
- Cardinal: 123313920 can be written as One hundred twenty-three million, three hundred thirteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.2331392 × 108
Factors of 123313920
Divisors of 123313920
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 510 544 640 680 768 816 960 1020 1088 1280 1360 1632 1889 1920 2040 2176 2720 3264 3778 3840 4080 4352 5440 5667 6528 7556 8160 9445 10880 11334 13056 15112 16320 18890 21760 22668 28335 30224 32113 32640 37780 45336 56670 60448 64226 65280 75560 90672 96339 113340 120896 128452 151120 160565 181344 192678 226680 241792 256904 302240 321130 362688 385356 453360 481695 483584 513808 604480 642260 725376 770712 906720 963390 1027616 1208960 1284520 1450752 1541424 1813440 1926780 2055232 2417920 2569040 3082848 3626880 3853560 4110464 5138080 6165696 7253760 7707120 8220928 10276160 12331392 15414240 20552320 24662784 30828480 41104640 61656960 123313920
- Sum of all divisors σ(n): 417221280
- Sum of proper divisors (its aliquot sum) s(n): 293907360
- 123313920 is an abundant number, because the sum of its proper divisors (293907360) is greater than itself. Its abundance is 170593440
Bases of 123313920
- Binary: 1110101100110011111000000002
- Hexadecimal: 0x7599F00
- Base-36: 21F1MO
Squares and roots of 123313920
- 123313920 squared (1233139202) is 15206322865766400
- 123313920 cubed (1233139203) is 1875151281363288588288000
-
The
square root of 123313920 is 11104.6800944467 -
The
cube root of 123313920 is 497.7417089323
Scales and comparisons
How big is 123313920?- 123,313,920 seconds is equal to 3 years, 47 weeks, 6 days, 5 hours, 52 minutes.
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To count from 1 to 123,313,920 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 123313920 cubic inches would be around 41.5 feet tall.
Recreational maths with 123313920
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