135342900
135,342,900 is an even composite number composed of six prime numbers multiplied together.
135342900 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 135342900:
22 × 34 × 52 × 72 × 11 × 31
(2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 11 × 31)See below for interesting mathematical facts about the number 135342900 from the Numbermatics database.
Names of 135342900
- Cardinal: 135342900 can be written as One hundred thirty-five million, three hundred forty-two thousand, nine hundred.
Scientific notation
- Scientific notation: 1.353429 × 108
Factors of 135342900
Divisors of 135342900
- Number of divisors d(n): 540
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 25 27 28 30 31 33 35 36 42 44 45 49 50 54 55 60 62 63 66 70 75 77 81 84 90 93 98 99 100 105 108 110 124 126 132 135 140 147 150 154 155 162 165 175 180 186 189 196 198 210 217 220 225 231 245 252 270 275 279 294 297 300 308 310 315 324 330 341 350 372 378 385 396 405 420 434 441 450 462 465 490 495 525 539 540 550 558 567 588 594 620 630 651 660 675 682 693 700 735 756 770 775 810 825 837 868 882 891 900 924 930 945 980 990 1023 1050 1078 1085 1100 1116 1134 1155 1188 1225 1260 1302 1323 1350 1364 1386 1395 1470 1485 1519 1540 1550 1575 1617 1620 1650 1674 1705 1764 1782 1860 1890 1925 1953 1980 2025 2046 2079 2100 2156 2170 2205 2268 2310 2325 2387 2450 2475 2511 2604 2646 2695 2700 2772 2790 2835 2940 2970 3038 3069 3100 3150 3234 3255 3300 3348 3410 3465 3564 3675 3780 3850 3906 3969 4050 4092 4158 4185 4340 4410 4455 4557 4620 4650 4725 4774 4851 4900 4950 5022 5115 5292 5390 5425 5580 5670 5775 5859 5940 6076 6138 6237 6300 6468 6510 6615 6820 6930 6975 7161 7350 7425 7595 7700 7812 7938 8085 8100 8316 8370 8525 8820 8910 9114 9207 9300 9450 9548 9702 9765 9900 10044 10230 10395 10780 10850 11025 11340 11550 11718 11935 12276 12474 12555 13020 13230 13475 13671 13860 13950 14175 14322 14553 14700 14850 15190 15345 15876 16170 16275 16709 16740 17050 17325 17577 17820 18228 18414 18900 19404 19530 19845 20460 20790 20925 21483 21700 22050 22275 22785 23100 23436 23870 24255 24948 25110 25575 26460 26950 27342 27621 27900 28350 28644 29106 29295 29700 30380 30690 31185 32340 32550 33075 33418 34100 34650 35154 35805 36828 37975 39060 39690 40425 41013 41580 41850 42966 43659 44100 44550 45570 46035 47740 48510 48825 50127 50220 51150 51975 53900 54684 55242 56700 58212 58590 59675 61380 62370 62775 64449 65100 66150 66836 68355 69300 70308 71610 72765 75950 76725 79380 80850 82026 83545 83700 85932 87318 87885 89100 91140 92070 97020 97650 99225 100254 102300 103950 107415 110484 113925 117180 119350 121275 123039 124740 125550 128898 132300 136710 138105 143220 145530 146475 150381 151900 153450 155925 161700 164052 167090 174636 175770 179025 184140 193347 195300 198450 200508 205065 207900 214830 218295 227850 230175 238700 242550 246078 250635 251100 257796 273420 276210 291060 292950 300762 306900 311850 322245 334180 341775 351540 358050 363825 386694 396900 410130 417725 429660 436590 439425 451143 455700 460350 485100 492156 501270 537075 552420 585900 601524 615195 623700 644490 683550 690525 716100 727650 751905 773388 820260 835450 873180 878850 902286 920700 966735 1002540 1025325 1074150 1091475 1230390 1253175 1288980 1353429 1367100 1381050 1455300 1503810 1611225 1670900 1757700 1804572 1933470 2050650 2148300 2182950 2255715 2460780 2506350 2706858 2762100 3007620 3075975 3222450 3759525 3866940 4101300 4365900 4511430 4833675 5012700 5413716 6151950 6444900 6767145 7519050 9022860 9667350 11278575 12303900 13534290 15038100 19334700 22557150 27068580 33835725 45114300 67671450 135342900
- Sum of all divisors σ(n): 574713216
- Sum of proper divisors (its aliquot sum) s(n): 439370316
- 135342900 is an abundant number, because the sum of its proper divisors (439370316) is greater than itself. Its abundance is 304027416
Bases of 135342900
- Binary: 10000001000100101011001101002
- Hexadecimal: 0x8112B34
- Base-36: 28KV90
Squares and roots of 135342900
- 135342900 squared (1353429002) is 18317700580410000
- 135342900 cubed (1353429003) is 2479170717884372589000000
-
The
square root of 135342900 is 11633.6967469503 -
The
cube root of 135342900 is 513.4267506755
Scales and comparisons
How big is 135342900?- 135,342,900 seconds is equal to 4 years, 15 weeks, 5 days, 11 hours, 15 minutes.
-
To count from 1 to 135,342,900 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 135342900 cubic inches would be around 42.8 feet tall.
Recreational maths with 135342900
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