134870400
134,870,400 is an even composite number composed of five prime numbers multiplied together.
134870400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 134870400:
27 × 33 × 52 × 7 × 223
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 223)See below for interesting mathematical facts about the number 134870400 from the Numbermatics database.
Names of 134870400
- Cardinal: 134870400 can be written as One hundred thirty-four million, eight hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.348704 × 108
Factors of 134870400
Divisors of 134870400
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 120 126 128 135 140 144 150 160 168 175 180 189 192 200 210 216 223 224 225 240 252 270 280 288 300 315 320 336 350 360 378 384 400 420 432 446 448 450 480 504 525 540 560 576 600 630 640 669 672 675 700 720 756 800 840 864 892 896 900 945 960 1008 1050 1080 1115 1120 1152 1200 1260 1338 1344 1350 1400 1440 1512 1561 1575 1600 1680 1728 1784 1800 1890 1920 2007 2016 2100 2160 2230 2240 2400 2520 2676 2688 2700 2800 2880 3024 3122 3150 3200 3345 3360 3456 3568 3600 3780 4014 4032 4200 4320 4460 4480 4683 4725 4800 5040 5352 5400 5575 5600 5760 6021 6048 6244 6300 6690 6720 7136 7200 7560 7805 8028 8064 8400 8640 8920 9366 9450 9600 10035 10080 10704 10800 11150 11200 12042 12096 12488 12600 13380 13440 14049 14272 14400 15120 15610 16056 16725 16800 17280 17840 18732 18900 20070 20160 21408 21600 22300 22400 23415 24084 24192 24976 25200 26760 28098 28544 28800 30105 30240 31220 32112 33450 33600 35680 37464 37800 39025 40140 40320 42147 42816 43200 44600 46830 48168 49952 50175 50400 53520 56196 60210 60480 62440 64224 66900 67200 70245 71360 74928 75600 78050 80280 84294 85632 86400 89200 93660 96336 99904 100350 100800 107040 112392 117075 120420 120960 124880 128448 133800 140490 142720 149856 150525 151200 156100 160560 168588 178400 187320 192672 199808 200700 201600 210735 214080 224784 234150 240840 249760 256896 267600 280980 299712 301050 302400 312200 321120 337176 351225 356800 374640 385344 401400 421470 428160 449568 468300 481680 499520 535200 561960 599424 602100 604800 624400 642240 674352 702450 713600 749280 770688 802800 842940 899136 936600 963360 999040 1053675 1070400 1123920 1204200 1248800 1284480 1348704 1404900 1498560 1605600 1685880 1798272 1873200 1926720 2107350 2140800 2247840 2408400 2497600 2697408 2809800 2997120 3211200 3371760 3746400 3853440 4214700 4495680 4816800 4995200 5394816 5619600 6422400 6743520 7492800 8429400 8991360 9633600 11239200 13487040 14985600 16858800 19267200 22478400 26974080 33717600 44956800 67435200 134870400
- Sum of all divisors σ(n): 566630400
- Sum of proper divisors (its aliquot sum) s(n): 431760000
- 134870400 is an abundant number, because the sum of its proper divisors (431760000) is greater than itself. Its abundance is 296889600
Bases of 134870400
- Binary: 10000000100111110101100000002
- Hexadecimal: 0x809F580
- Base-36: 28AQO0
Squares and roots of 134870400
- 134870400 squared (1348704002) is 18190024796160000
- 134870400 cubed (1348704003) is 2453295920268017664000000
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The
square root of 134870400 is 11613.3716034579 -
The
cube root of 134870400 is 512.8285737537
Scales and comparisons
How big is 134870400?- 134,870,400 seconds is equal to 4 years, 15 weeks.
-
To count from 1 to 134,870,400 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 134870400 cubic inches would be around 42.7 feet tall.
Recreational maths with 134870400
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