135348192
135,348,192 is an even composite number composed of five prime numbers multiplied together.
135348192 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 135348192:
25 × 33 × 72 × 23 × 139
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 23 × 139)See below for interesting mathematical facts about the number 135348192 from the Numbermatics database.
Names of 135348192
- Cardinal: 135348192 can be written as One hundred thirty-five million, three hundred forty-eight thousand, one hundred ninety-two.
Scientific notation
- Scientific notation: 1.35348192 × 108
Factors of 135348192
Divisors of 135348192
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 42 46 48 49 54 56 63 69 72 84 92 96 98 108 112 126 138 139 144 147 161 168 184 189 196 207 216 224 252 276 278 288 294 322 336 368 378 392 414 417 432 441 483 504 552 556 588 621 644 672 736 756 784 828 834 864 882 966 973 1008 1104 1112 1127 1176 1242 1251 1288 1323 1449 1512 1568 1656 1668 1764 1932 1946 2016 2208 2224 2254 2352 2484 2502 2576 2646 2898 2919 3024 3197 3312 3336 3381 3528 3753 3864 3892 4347 4448 4508 4704 4968 5004 5152 5292 5796 5838 6048 6394 6624 6672 6762 6811 7056 7506 7728 7784 8694 8757 9016 9591 9936 10008 10143 10584 11592 11676 12788 13344 13524 13622 14112 15012 15456 15568 17388 17514 18032 19182 19872 20016 20286 20433 21168 22379 23184 23352 25576 26271 27048 27244 28773 30024 30429 31136 34776 35028 36064 38364 40032 40572 40866 42336 44758 46368 46704 51152 52542 54096 54488 57546 60048 60858 61299 67137 69552 70056 76728 81144 81732 86319 89516 93408 102304 105084 108192 108976 115092 120096 121716 122598 134274 139104 140112 153456 156653 162288 163464 172638 179032 183897 201411 210168 217952 230184 243432 245196 268548 280224 306912 313306 324576 326928 345276 358064 367794 402822 420336 460368 469959 486864 490392 537096 604233 626612 653856 690552 716128 735588 805644 840672 920736 939918 973728 980784 1074192 1208466 1253224 1381104 1409877 1471176 1611288 1879836 1961568 2148384 2416932 2506448 2762208 2819754 2942352 3222576 3759672 4229631 4833864 5012896 5639508 5884704 6445152 7519344 8459262 9667728 11279016 15038688 16918524 19335456 22558032 33837048 45116064 67674096 135348192
- Sum of all divisors σ(n): 482630400
- Sum of proper divisors (its aliquot sum) s(n): 347282208
- 135348192 is an abundant number, because the sum of its proper divisors (347282208) is greater than itself. Its abundance is 211934016
Bases of 135348192
- Binary: 10000001000100111111111000002
- Hexadecimal: 0x8113FE0
- Base-36: 28KZC0
Squares and roots of 135348192
- 135348192 squared (1353481922) is 18319133077668864
- 135348192 cubed (1353481923) is 2479461541069876317093888
-
The
square root of 135348192 is 11633.9241874787 -
The
cube root of 135348192 is 513.4334423675
Scales and comparisons
How big is 135348192?- 135,348,192 seconds is equal to 4 years, 15 weeks, 5 days, 12 hours, 43 minutes, 12 seconds.
-
To count from 1 to 135,348,192 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 135348192 cubic inches would be around 42.8 feet tall.
Recreational maths with 135348192
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