120188064
120,188,064 is an even composite number composed of five prime numbers multiplied together.
120188064 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 120188064:
25 × 3 × 23 × 29 × 1877
(2 × 2 × 2 × 2 × 2 × 3 × 23 × 29 × 1877)See below for interesting mathematical facts about the number 120188064 from the Numbermatics database.
Names of 120188064
- Cardinal: 120188064 can be written as One hundred twenty million, one hundred eighty-eight thousand and sixty-four.
Scientific notation
- Scientific notation: 1.20188064 × 108
Factors of 120188064
Divisors of 120188064
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 69 87 92 96 116 138 174 184 232 276 348 368 464 552 667 696 736 928 1104 1334 1392 1877 2001 2208 2668 2784 3754 4002 5336 5631 7508 8004 10672 11262 15016 16008 21344 22524 30032 32016 43171 45048 54433 60064 64032 86342 90096 108866 129513 163299 172684 180192 217732 259026 326598 345368 435464 518052 653196 690736 870928 1036104 1251959 1306392 1381472 1741856 2072208 2503918 2612784 3755877 4144416 5007836 5225568 7511754 10015672 15023508 20031344 30047016 40062688 60094032 120188064
- Sum of all divisors σ(n): 340744320
- Sum of proper divisors (its aliquot sum) s(n): 220556256
- 120188064 is an abundant number, because the sum of its proper divisors (220556256) is greater than itself. Its abundance is 100368192
Bases of 120188064
- Binary: 1110010100111101100101000002
- Hexadecimal: 0x729ECA0
- Base-36: 1ZK1PC
Squares and roots of 120188064
- 120188064 squared (1201880642) is 14445170728068096
- 120188064 cubed (1201880643) is 1736137103955974918406144
-
The
square root of 120188064 is 10963.0316974823 -
The
cube root of 120188064 is 493.4999502139
Scales and comparisons
How big is 120188064?- 120,188,064 seconds is equal to 3 years, 42 weeks, 5 days, 1 hour, 34 minutes, 24 seconds.
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To count from 1 to 120,188,064 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 120188064 cubic inches would be around 41.1 feet tall.
Recreational maths with 120188064
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