132153984
132,153,984 is an even composite number composed of three prime numbers multiplied together.
132153984 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixty-four divisors.
Prime factorization of 132153984:
27 × 33 × 38239
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 38239)See below for interesting mathematical facts about the number 132153984 from the Numbermatics database.
Names of 132153984
- Cardinal: 132153984 can be written as One hundred thirty-two million, one hundred fifty-three thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.32153984 × 108
Factors of 132153984
Divisors of 132153984
- Number of divisors d(n): 64
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 38239 76478 114717 152956 229434 305912 344151 458868 611824 688302 917736 1032453 1223648 1376604 1835472 2064906 2447296 2753208 3670944 4129812 4894592 5506416 7341888 8259624 11012832 14683776 16519248 22025664 33038496 44051328 66076992 132153984
- Sum of all divisors σ(n): 390048000
- Sum of proper divisors (its aliquot sum) s(n): 257894016
- 132153984 is an abundant number, because the sum of its proper divisors (257894016) is greater than itself. Its abundance is 125740032
Bases of 132153984
- Binary: 1111110000010000010100000002
- Hexadecimal: 0x7E08280
- Base-36: 26OIO0
Squares and roots of 132153984
- 132153984 squared (1321539842) is 17464675487072256
- 132153984 cubed (1321539843) is 2308026444883739126267904
-
The
square root of 132153984 is 11495.8246333179 -
The
cube root of 132153984 is 509.3622478095
Scales and comparisons
How big is 132153984?- 132,153,984 seconds is equal to 4 years, 10 weeks, 3 days, 13 hours, 26 minutes, 24 seconds.
-
To count from 1 to 132,153,984 would take you about six 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 132153984 cubic inches would be around 42.4 feet tall.
Recreational maths with 132153984
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