135297120
135,297,120 is an even composite number composed of six prime numbers multiplied together.
135297120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 135297120:
25 × 3 × 5 × 7 × 67 × 601
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 67 × 601)See below for interesting mathematical facts about the number 135297120 from the Numbermatics database.
Names of 135297120
- Cardinal: 135297120 can be written as One hundred thirty-five million, two hundred ninety-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3529712 × 108
Factors of 135297120
Divisors of 135297120
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 67 70 80 84 96 105 112 120 134 140 160 168 201 210 224 240 268 280 335 336 402 420 469 480 536 560 601 670 672 804 840 938 1005 1072 1120 1202 1340 1407 1608 1680 1803 1876 2010 2144 2345 2404 2680 2814 3005 3216 3360 3606 3752 4020 4207 4690 4808 5360 5628 6010 6432 7035 7212 7504 8040 8414 9015 9380 9616 10720 11256 12020 12621 14070 14424 15008 16080 16828 18030 18760 19232 21035 22512 24040 25242 28140 28848 32160 33656 36060 37520 40267 42070 45024 48080 50484 56280 57696 63105 67312 72120 75040 80534 84140 96160 100968 112560 120801 126210 134624 144240 161068 168280 201335 201936 225120 241602 252420 281869 288480 322136 336560 402670 403872 483204 504840 563738 604005 644272 673120 805340 845607 966408 1009680 1127476 1208010 1288544 1409345 1610680 1691214 1932816 2019360 2254952 2416020 2818690 3221360 3382428 3865632 4228035 4509904 4832040 5637380 6442720 6764856 8456070 9019808 9664080 11274760 13529712 16912140 19328160 22549520 27059424 33824280 45099040 67648560 135297120
- Sum of all divisors σ(n): 495161856
- Sum of proper divisors (its aliquot sum) s(n): 359864736
- 135297120 is an abundant number, because the sum of its proper divisors (359864736) is greater than itself. Its abundance is 224567616
Bases of 135297120
- Binary: 10000001000001111000011000002
- Hexadecimal: 0x8107860
- Base-36: 28JVXC
Squares and roots of 135297120
- 135297120 squared (1352971202) is 18305310680294400
- 135297120 cubed (1352971203) is 2476655815749073072128000
-
The
square root of 135297120 is 11631.7290202273 -
The
cube root of 135297120 is 513.3688549471
Scales and comparisons
How big is 135297120?- 135,297,120 seconds is equal to 4 years, 15 weeks, 4 days, 22 hours, 32 minutes.
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To count from 1 to 135,297,120 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 135297120 cubic inches would be around 42.8 feet tall.
Recreational maths with 135297120
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