134529120
134,529,120 is an even composite number composed of six prime numbers multiplied together.
134529120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 134529120:
25 × 33 × 5 × 11 × 19 × 149
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 11 × 19 × 149)See below for interesting mathematical facts about the number 134529120 from the Numbermatics database.
Names of 134529120
- Cardinal: 134529120 can be written as One hundred thirty-four million, five hundred twenty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.3452912 × 108
Factors of 134529120
Divisors of 134529120
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 27 30 32 33 36 38 40 44 45 48 54 55 57 60 66 72 76 80 88 90 95 96 99 108 110 114 120 132 135 144 149 152 160 165 171 176 180 190 198 209 216 220 228 240 264 270 285 288 297 298 304 330 342 352 360 380 396 418 432 440 447 456 480 495 513 528 540 570 594 596 608 627 660 684 720 745 760 792 836 855 864 880 894 912 990 1026 1045 1056 1080 1140 1188 1192 1254 1320 1341 1368 1440 1485 1490 1520 1584 1639 1672 1710 1760 1788 1824 1881 1980 2052 2090 2160 2235 2280 2376 2384 2508 2565 2640 2682 2736 2831 2970 2980 3040 3135 3168 3278 3344 3420 3576 3762 3960 4023 4104 4180 4320 4470 4560 4752 4768 4917 5016 5130 5280 5364 5472 5643 5662 5940 5960 6270 6556 6688 6705 6840 7152 7524 7920 8046 8195 8208 8360 8493 8940 9120 9405 9504 9834 10032 10260 10728 11286 11324 11880 11920 12540 13112 13410 13680 14155 14304 14751 15048 15840 16092 16390 16416 16720 16986 17880 18810 19668 20064 20115 20520 21456 22572 22648 23760 23840 24585 25080 25479 26224 26820 27360 28215 28310 29502 30096 31141 32184 32780 33440 33972 35760 37620 39336 40230 41040 42465 42912 44253 45144 45296 47520 49170 50160 50958 52448 53640 56430 56620 59004 60192 62282 64368 65560 67944 71520 73755 75240 76437 78672 80460 82080 84930 88506 90288 90592 93423 98340 100320 101916 107280 112860 113240 118008 124564 127395 128736 131120 135888 147510 150480 152874 155705 157344 160920 169860 177012 180576 186846 196680 203832 214560 221265 225720 226480 236016 249128 254790 262240 271776 280269 295020 300960 305748 311410 321840 339720 354024 373692 382185 393360 407664 442530 451440 452960 467115 472032 498256 509580 560538 590040 611496 622820 643680 679440 708048 747384 764370 786720 815328 840807 885060 902880 934230 996512 1019160 1121076 1180080 1222992 1245640 1358880 1401345 1416096 1494768 1528740 1681614 1770120 1868460 2038320 2242152 2360160 2445984 2491280 2802690 2989536 3057480 3363228 3540240 3736920 4076640 4204035 4484304 4982560 5605380 6114960 6726456 7080480 7473840 8408070 8968608 11210760 12229920 13452912 14947680 16816140 22421520 26905824 33632280 44843040 67264560 134529120
- Sum of all divisors σ(n): 544320000
- Sum of proper divisors (its aliquot sum) s(n): 409790880
- 134529120 is an abundant number, because the sum of its proper divisors (409790880) is greater than itself. Its abundance is 275261760
Bases of 134529120
- Binary: 10000000010011000000011000002
- Hexadecimal: 0x804C060
- Base-36: 283FC0
Squares and roots of 134529120
- 134529120 squared (1345291202) is 18098084127974400
- 134529120 cubed (1345291203) is 2434719331422363414528000
-
The
square root of 134529120 is 11598.6688891441 -
The
cube root of 134529120 is 512.3956495855
Scales and comparisons
How big is 134529120?- 134,529,120 seconds is equal to 4 years, 14 weeks, 3 days, 1 hour, 12 minutes.
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To count from 1 to 134,529,120 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 134529120 cubic inches would be around 42.7 feet tall.
Recreational maths with 134529120
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