132967968
132,967,968 is an even composite number composed of five prime numbers multiplied together.
132967968 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 132967968:
25 × 3 × 72 × 23 × 1229
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 23 × 1229)See below for interesting mathematical facts about the number 132967968 from the Numbermatics database.
Names of 132967968
- Cardinal: 132967968 can be written as One hundred thirty-two million, nine hundred sixty-seven thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.32967968 × 108
Factors of 132967968
Divisors of 132967968
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 56 69 84 92 96 98 112 138 147 161 168 184 196 224 276 294 322 336 368 392 483 552 588 644 672 736 784 966 1104 1127 1176 1229 1288 1568 1932 2208 2254 2352 2458 2576 3381 3687 3864 4508 4704 4916 5152 6762 7374 7728 8603 9016 9832 13524 14748 15456 17206 18032 19664 25809 27048 28267 29496 34412 36064 39328 51618 54096 56534 58992 60221 68824 84801 103236 108192 113068 117984 120442 137648 169602 180663 197869 206472 226136 240884 275296 339204 361326 395738 412944 452272 481768 593607 678408 722652 791476 825888 904544 963536 1187214 1356816 1385083 1445304 1582952 1927072 2374428 2713632 2770166 2890608 3165904 4155249 4748856 5540332 5781216 6331808 8310498 9497712 11080664 16620996 18995424 22161328 33241992 44322656 66483984 132967968
- Sum of all divisors σ(n): 424025280
- Sum of proper divisors (its aliquot sum) s(n): 291057312
- 132967968 is an abundant number, because the sum of its proper divisors (291057312) is greater than itself. Its abundance is 158089344
Bases of 132967968
- Binary: 1111110110011101110001000002
- Hexadecimal: 0x7ECEE20
- Base-36: 275YQO
Squares and roots of 132967968
- 132967968 squared (1329679682) is 17680480514049024
- 132967968 cubed (1329679683) is 2350937567216694173663232
-
The
square root of 132967968 is 11531.1737477153 -
The
cube root of 132967968 is 510.4058898767
Scales and comparisons
How big is 132967968?- 132,967,968 seconds is equal to 4 years, 11 weeks, 5 days, 23 hours, 32 minutes, 48 seconds.
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To count from 1 to 132,967,968 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 132967968 cubic inches would be around 42.5 feet tall.
Recreational maths with 132967968
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