135442720
135,442,720 is an even composite number composed of six prime numbers multiplied together.
135442720 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 135442720:
25 × 5 × 7 × 31 × 47 × 83
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 31 × 47 × 83)See below for interesting mathematical facts about the number 135442720 from the Numbermatics database.
Names of 135442720
- Cardinal: 135442720 can be written as One hundred thirty-five million, four hundred forty-two thousand, seven hundred twenty.
Scientific notation
- Scientific notation: 1.3544272 × 108
Factors of 135442720
Divisors of 135442720
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 47 56 62 70 80 83 94 112 124 140 155 160 166 188 217 224 235 248 280 310 329 332 376 415 434 470 496 560 581 620 658 664 752 830 868 940 992 1085 1120 1162 1240 1316 1328 1457 1504 1645 1660 1736 1880 2170 2324 2480 2573 2632 2656 2905 2914 3290 3320 3472 3760 3901 4340 4648 4960 5146 5264 5810 5828 6580 6640 6944 7285 7520 7802 8680 9296 10199 10292 10528 11620 11656 12865 13160 13280 14570 15604 17360 18011 18592 19505 20398 20584 23240 23312 25730 26320 27307 29140 31208 34720 36022 39010 40796 41168 46480 46624 50995 51460 52640 54614 58280 62416 72044 78020 81592 82336 90055 92960 101990 102920 109228 116560 120931 124832 136535 144088 156040 163184 180110 203980 205840 218456 233120 241862 273070 288176 312080 326368 360220 407960 411680 436912 483724 546140 576352 604655 624160 720440 815920 846517 873824 967448 1092280 1209310 1440880 1631840 1693034 1934896 2184560 2418620 2881760 3386068 3869792 4232585 4369120 4837240 6772136 8465170 9674480 13544272 16930340 19348960 27088544 33860680 67721360 135442720
- Sum of all divisors σ(n): 390168576
- Sum of proper divisors (its aliquot sum) s(n): 254725856
- 135442720 is an abundant number, because the sum of its proper divisors (254725856) is greater than itself. Its abundance is 119283136
Bases of 135442720
- Binary: 10000001001010110001001000002
- Hexadecimal: 0x812B120
- Base-36: 28N09S
Squares and roots of 135442720
- 135442720 squared (1354427202) is 18344730400998400
- 135442720 cubed (1354427203) is 2484660183177914011648000
-
The
square root of 135442720 is 11637.9860800743 -
The
cube root of 135442720 is 513.5529428973
Scales and comparisons
How big is 135442720?- 135,442,720 seconds is equal to 4 years, 15 weeks, 6 days, 14 hours, 58 minutes, 40 seconds.
-
To count from 1 to 135,442,720 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 135442720 cubic inches would be around 42.8 feet tall.
Recreational maths with 135442720
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