134971200
134,971,200 is an even composite number composed of six prime numbers multiplied together.
134971200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 134971200:
26 × 32 × 52 × 7 × 13 × 103
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 13 × 103)See below for interesting mathematical facts about the number 134971200 from the Numbermatics database.
Names of 134971200
- Cardinal: 134971200 can be written as One hundred thirty-four million, nine hundred seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.349712 × 108
Factors of 134971200
Divisors of 134971200
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 100 103 104 105 112 117 120 126 130 140 144 150 156 160 168 175 180 182 192 195 200 206 208 210 224 225 234 240 252 260 273 280 288 300 309 312 315 320 325 336 350 360 364 390 400 412 416 420 448 450 455 468 480 504 515 520 525 546 560 576 585 600 618 624 630 650 672 700 720 721 728 780 800 819 824 832 840 900 910 927 936 960 975 1008 1030 1040 1050 1092 1120 1170 1200 1236 1248 1260 1300 1339 1344 1365 1400 1440 1442 1456 1545 1560 1575 1600 1638 1648 1680 1800 1820 1854 1872 1950 2016 2060 2080 2100 2163 2184 2240 2275 2340 2400 2472 2496 2520 2575 2600 2678 2730 2800 2880 2884 2912 2925 3090 3120 3150 3276 3296 3360 3600 3605 3640 3708 3744 3900 4017 4032 4095 4120 4160 4200 4326 4368 4550 4635 4680 4800 4944 5040 5150 5200 5356 5460 5600 5768 5824 5850 6180 6240 6300 6489 6552 6592 6695 6720 6825 7200 7210 7280 7416 7488 7725 7800 8034 8190 8240 8400 8652 8736 9100 9270 9360 9373 9888 10080 10300 10400 10712 10815 10920 11200 11536 11700 12051 12360 12480 12600 12978 13104 13390 13650 14400 14420 14560 14832 15450 15600 16068 16380 16480 16800 17304 17472 18025 18200 18540 18720 18746 19776 20085 20160 20475 20600 20800 21424 21630 21840 23072 23175 23400 24102 24720 25200 25956 26208 26780 27300 28119 28840 29120 29664 30900 31200 32136 32445 32760 32960 33475 33600 34608 36050 36400 37080 37440 37492 40170 40950 41200 42848 43260 43680 46144 46350 46800 46865 48204 49440 50400 51912 52416 53560 54075 54600 56238 57680 59328 60255 61800 62400 64272 64890 65520 66950 69216 72100 72800 74160 74984 80340 81900 82400 84357 85696 86520 87360 92700 93600 93730 96408 98880 100425 100800 103824 107120 108150 109200 112476 115360 120510 123600 128544 129780 131040 133900 138432 140595 144200 145600 148320 149968 160680 162225 163800 164800 168714 173040 185400 187200 187460 192816 200850 207648 214240 216300 218400 224952 230720 234325 241020 247200 257088 259560 262080 267800 281190 288400 296640 299936 301275 321360 324450 327600 337428 346080 370800 374920 385632 401700 415296 421785 428480 432600 436800 449904 468650 482040 494400 519120 535600 562380 576800 599872 602550 642720 648900 655200 674856 692160 702975 741600 749840 771264 803400 843570 865200 899808 937300 964080 1038240 1071200 1124760 1153600 1205100 1285440 1297800 1310400 1349712 1405950 1483200 1499680 1606800 1687140 1730400 1799616 1874600 1928160 2076480 2108925 2142400 2249520 2410200 2595600 2699424 2811900 2999360 3213600 3374280 3460800 3749200 3856320 4217850 4499040 4820400 5191200 5398848 5623800 6427200 6748560 7498400 8435700 8998080 9640800 10382400 11247600 13497120 14996800 16871400 19281600 22495200 26994240 33742800 44990400 67485600 134971200
- Sum of all divisors σ(n): 596156288
- Sum of proper divisors (its aliquot sum) s(n): 461185088
- 134971200 is an abundant number, because the sum of its proper divisors (461185088) is greater than itself. Its abundance is 326213888
Bases of 134971200
- Binary: 10000000101101111111010000002
- Hexadecimal: 0x80B7F40
- Base-36: 28CWG0
Squares and roots of 134971200
- 134971200 squared (1349712002) is 18217224829440000
- 134971200 cubed (1349712003) is 2458800695899312128000000
-
The
square root of 134971200 is 11617.7106178455 -
The
cube root of 134971200 is 512.9563019217
Scales and comparisons
How big is 134971200?- 134,971,200 seconds is equal to 4 years, 15 weeks, 1 day, 4 hours.
-
To count from 1 to 134,971,200 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 134971200 cubic inches would be around 42.7 feet tall.
Recreational maths with 134971200
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