132378168
132,378,168 is an even composite number composed of six prime numbers multiplied together.
132378168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 132378168:
23 × 3 × 13 × 19 × 137 × 163
(2 × 2 × 2 × 3 × 13 × 19 × 137 × 163)See below for interesting mathematical facts about the number 132378168 from the Numbermatics database.
Names of 132378168
- Cardinal: 132378168 can be written as One hundred thirty-two million, three hundred seventy-eight thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.32378168 × 108
Factors of 132378168
Divisors of 132378168
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 137 152 156 163 228 247 274 312 326 411 456 489 494 548 652 741 822 978 988 1096 1304 1482 1644 1781 1956 1976 2119 2603 2964 3097 3288 3562 3912 4238 5206 5343 5928 6194 6357 7124 7809 8476 9291 10412 10686 12388 12714 14248 15618 16952 18582 20824 21372 22331 24776 25428 31236 33839 37164 40261 42744 44662 50856 62472 66993 67678 74328 80522 89324 101517 120783 133986 135356 161044 178648 203034 241566 267972 270712 290303 322088 406068 424289 483132 535944 580606 812136 848578 870909 966264 1161212 1272867 1697156 1741818 2322424 2545734 3394312 3483636 5091468 5515757 6967272 10182936 11031514 16547271 22063028 33094542 44126056 66189084 132378168
- Sum of all divisors σ(n): 380217600
- Sum of proper divisors (its aliquot sum) s(n): 247839432
- 132378168 is an abundant number, because the sum of its proper divisors (247839432) is greater than itself. Its abundance is 115461264
Bases of 132378168
- Binary: 1111110001111101110001110002
- Hexadecimal: 0x7E3EE38
- Base-36: 26TBNC
Squares and roots of 132378168
- 132378168 squared (1323781682) is 17523979363036224
- 132378168 cubed (1323781683) is 2319792284148542250757632
-
The
square root of 132378168 is 11505.5711722625 -
The
cube root of 132378168 is 509.6501098751
Scales and comparisons
How big is 132378168?- 132,378,168 seconds is equal to 4 years, 10 weeks, 6 days, 3 hours, 42 minutes, 48 seconds.
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To count from 1 to 132,378,168 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 132378168 cubic inches would be around 42.5 feet tall.
Recreational maths with 132378168
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