135069480
135,069,480 is an even composite number composed of seven prime numbers multiplied together.
135069480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 135069480:
23 × 32 × 5 × 72 × 13 × 19 × 31
(2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 13 × 19 × 31)See below for interesting mathematical facts about the number 135069480 from the Numbermatics database.
Names of 135069480
- Cardinal: 135069480 can be written as One hundred thirty-five million, sixty-nine thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3506948 × 108
Factors of 135069480
Divisors of 135069480
- Number of divisors d(n): 576
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 19 20 21 24 26 28 30 31 35 36 38 39 40 42 45 49 52 56 57 60 62 63 65 70 72 76 78 84 90 91 93 95 98 104 105 114 117 120 124 126 130 133 140 147 152 155 156 168 171 180 182 186 190 195 196 210 217 228 234 245 247 248 252 260 266 273 279 280 285 294 310 312 315 342 360 364 372 380 390 392 399 403 420 434 441 455 456 465 468 490 494 504 520 532 546 558 570 585 588 589 620 630 637 651 665 684 728 735 741 744 760 780 798 806 819 840 855 868 882 910 930 931 936 980 988 1064 1085 1092 1116 1140 1170 1176 1178 1197 1209 1235 1240 1260 1274 1302 1330 1365 1368 1395 1470 1482 1519 1560 1596 1612 1638 1710 1729 1736 1764 1767 1820 1860 1862 1911 1953 1960 1976 1995 2015 2170 2184 2205 2223 2232 2280 2340 2356 2394 2418 2470 2520 2548 2604 2660 2730 2790 2793 2821 2940 2945 2964 3038 3185 3192 3224 3255 3276 3420 3458 3528 3534 3627 3640 3705 3720 3724 3822 3906 3990 4030 4095 4123 4340 4410 4446 4557 4655 4680 4712 4788 4836 4940 5096 5187 5208 5301 5320 5460 5580 5586 5642 5733 5880 5890 5928 5985 6045 6076 6370 6510 6552 6840 6916 7068 7254 7410 7448 7595 7644 7657 7812 7980 8060 8190 8246 8379 8463 8645 8680 8820 8835 8892 9114 9310 9555 9576 9672 9765 9880 10374 10602 10920 11115 11160 11172 11284 11466 11780 11970 12090 12103 12152 12369 12740 13020 13671 13832 13965 14105 14136 14508 14820 15190 15288 15314 15561 15624 15960 16120 16380 16492 16758 16926 17290 17640 17670 17784 18135 18228 18620 19110 19530 19747 20615 20748 21204 22230 22344 22568 22785 22932 22971 23560 23940 24180 24206 24738 25389 25480 25935 26040 26505 27342 27930 28210 28665 28861 29016 29640 30380 30628 31122 32760 32984 33516 33852 34580 35340 36270 36309 36456 37107 37240 38220 38285 39060 39494 41230 41496 41895 42315 42408 44460 45570 45864 45942 47880 48360 48412 49476 50778 51870 53010 53599 54684 55860 56420 57330 57722 59241 60515 60760 61256 61845 62244 67032 67704 68355 68913 69160 70680 72540 72618 74214 76440 76570 77805 78120 78988 82460 83790 84630 86583 88920 91140 91884 96824 98735 98952 101556 103740 106020 107198 108927 109368 111720 112840 114660 114855 115444 118482 121030 123690 124488 126945 136710 137826 144305 145080 145236 148428 153140 155610 157976 160797 164920 167580 169260 173166 177723 181545 182280 183768 185535 197470 203112 207480 212040 214396 217854 229320 229710 230888 236964 242060 247380 253890 259749 267995 273420 275652 288610 290472 296205 296856 306280 311220 321594 335160 338520 344565 346332 355446 363090 371070 375193 394940 428792 432915 435708 459420 473928 482391 484120 494760 507780 519498 535990 544635 546840 551304 577220 592410 622440 643188 689130 692664 710892 726180 742140 750386 789880 803985 865830 871416 888615 918840 964782 1015560 1038996 1071980 1089270 1125579 1154440 1184820 1286376 1298745 1378260 1421784 1452360 1484280 1500772 1607970 1731660 1777230 1875965 1929564 2077992 2143960 2178540 2251158 2369640 2411955 2597490 2756520 3001544 3215940 3376737 3463320 3554460 3751930 3859128 4357080 4502316 4823910 5194980 5627895 6431880 6753474 7108920 7503860 9004632 9647820 10389960 11255790 13506948 15007720 16883685 19295640 22511580 27013896 33767370 45023160 67534740 135069480
- Sum of all divisors σ(n): 597542400
- Sum of proper divisors (its aliquot sum) s(n): 462472920
- 135069480 is an abundant number, because the sum of its proper divisors (462472920) is greater than itself. Its abundance is 327403440
Bases of 135069480
- Binary: 10000000110011111111001010002
- Hexadecimal: 0x80CFF28
- Base-36: 28F0A0
Squares and roots of 135069480
- 135069480 squared (1350694802) is 18243764427470400
- 135069480 cubed (1350694803) is 2464175774460924643392000
-
The
square root of 135069480 is 11621.9395971585 -
The
cube root of 135069480 is 513.0807756713
Scales and comparisons
How big is 135069480?- 135,069,480 seconds is equal to 4 years, 15 weeks, 2 days, 7 hours, 18 minutes.
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To count from 1 to 135,069,480 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 135069480 cubic inches would be around 42.8 feet tall.
Recreational maths with 135069480
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The information we have on file for 135069480 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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