132974400
132,974,400 is an even composite number composed of five prime numbers multiplied together.
132974400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 132974400:
26 × 3 × 52 × 13 × 2131
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 2131)See below for interesting mathematical facts about the number 132974400 from the Numbermatics database.
Names of 132974400
- Cardinal: 132974400 can be written as One hundred thirty-two million, nine hundred seventy-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.329744 × 108
Factors of 132974400
Divisors of 132974400
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 130 150 156 160 192 195 200 208 240 260 300 312 320 325 390 400 416 480 520 600 624 650 780 800 832 960 975 1040 1200 1248 1300 1560 1600 1950 2080 2131 2400 2496 2600 3120 3900 4160 4262 4800 5200 6240 6393 7800 8524 10400 10655 12480 12786 15600 17048 20800 21310 25572 27703 31200 31965 34096 42620 51144 53275 55406 62400 63930 68192 83109 85240 102288 106550 110812 127860 136384 138515 159825 166218 170480 204576 213100 221624 255720 277030 319650 332436 340960 409152 415545 426200 443248 511440 554060 639300 664872 681920 692575 831090 852400 886496 1022880 1108120 1278600 1329744 1385150 1662180 1704800 1772992 2045760 2077725 2216240 2557200 2659488 2770300 3324360 3409600 4155450 4432480 5114400 5318976 5540600 6648720 8310900 8864960 10228800 11081200 13297440 16621800 22162400 26594880 33243600 44324800 66487200 132974400
- Sum of all divisors σ(n): 470046304
- Sum of proper divisors (its aliquot sum) s(n): 337071904
- 132974400 is an abundant number, because the sum of its proper divisors (337071904) is greater than itself. Its abundance is 204097504
Bases of 132974400
- Binary: 1111110110100000111010000002
- Hexadecimal: 0x7ED0740
- Base-36: 2763PC
Squares and roots of 132974400
- 132974400 squared (1329744002) is 17682191055360000
- 132974400 cubed (1329744003) is 2351278746271862784000000
-
The
square root of 132974400 is 11531.4526404959 -
The
cube root of 132974400 is 510.4141196227
Scales and comparisons
How big is 132974400?- 132,974,400 seconds is equal to 4 years, 11 weeks, 6 days, 1 hour, 20 minutes.
-
To count from 1 to 132,974,400 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 132974400 cubic inches would be around 42.5 feet tall.
Recreational maths with 132974400
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