13434422400
13,434,422,400 is an even composite number composed of six prime numbers multiplied together.
13434422400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13434422400:
27 × 33 × 52 × 7 × 97 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 7 × 97 × 229)See below for interesting mathematical facts about the number 13434422400 from the Numbermatics database.
Names of 13434422400
- Cardinal: 13434422400 can be written as Thirteen billion, four hundred thirty-four million, four hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.34344224 × 1010
Factors of 13434422400
Divisors of 13434422400
- Number of divisors d(n): 768
-
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 97 100 105 108 112 120 126 128 135 140 144 150 160 168 175 180 189 192 194 200 210 216 224 225 229 240 252 270 280 288 291 300 315 320 336 350 360 378 384 388 400 420 432 448 450 458 480 485 504 525 540 560 576 582 600 630 640 672 675 679 687 700 720 756 776 800 840 864 873 896 900 916 945 960 970 1008 1050 1080 1120 1145 1152 1164 1200 1260 1344 1350 1358 1374 1400 1440 1455 1512 1552 1575 1600 1603 1680 1728 1746 1800 1832 1890 1920 1940 2016 2037 2061 2100 2160 2240 2290 2328 2400 2425 2520 2619 2688 2700 2716 2748 2800 2880 2910 3024 3104 3150 3200 3206 3360 3395 3435 3456 3492 3600 3664 3780 3880 4032 4074 4122 4200 4320 4365 4480 4580 4656 4725 4800 4809 4850 5040 5238 5400 5432 5496 5600 5725 5760 5820 6048 6111 6183 6208 6300 6412 6720 6790 6870 6984 7200 7275 7328 7560 7760 8015 8064 8148 8244 8400 8640 8730 9160 9312 9450 9600 9618 9700 10080 10185 10305 10476 10800 10864 10992 11200 11450 11640 12096 12222 12366 12416 12600 12824 13095 13440 13580 13740 13968 14400 14427 14550 14656 15120 15520 16030 16296 16488 16800 16975 17175 17280 17460 18320 18333 18624 18900 19236 19400 20160 20370 20610 20952 21600 21728 21825 21984 22213 22400 22900 23280 24045 24192 24444 24732 25200 25648 26190 27160 27480 27936 28800 28854 29100 29312 30240 30555 30915 31040 32060 32592 32976 33600 33950 34350 34920 36640 36666 37248 37800 38472 38800 40075 40320 40740 41220 41904 43200 43281 43456 43650 43968 44426 45800 46560 48090 48888 49464 50400 50925 51296 51525 52380 54320 54960 55872 57708 58200 60480 61110 61830 62080 64120 65184 65475 65952 66639 67200 67900 68700 69840 72135 73280 73332 75600 76944 77600 80150 81480 82440 83808 86400 86562 86912 87300 87936 88852 91600 91665 93120 96180 97776 98928 100800 101850 102592 103050 104760 108640 109920 111065 111744 115416 116400 120225 120960 122220 123660 128240 130368 130950 131904 133278 135800 137400 139680 144270 146560 146664 151200 152775 153888 154575 155200 155491 160300 162960 164880 167616 173124 174600 177704 183200 183330 186240 192360 195552 197856 199917 201600 203700 205184 206100 209520 216405 217280 219840 222130 230832 232800 240450 244440 247320 256480 260736 261900 263808 266556 271600 274800 279360 288540 293328 302400 305550 307776 309150 310400 310982 320600 325920 329760 333195 335232 346248 349200 355408 360675 366400 366660 384720 391104 395712 399834 407400 412200 419040 432810 434560 439680 444260 458325 461664 465600 466473 480900 488880 494640 512960 523800 533112 543200 549600 555325 558720 577080 586656 599751 604800 611100 615552 618300 621964 641200 651840 659520 666390 692496 698400 710816 721350 732800 733320 769440 777455 782208 791424 799668 814800 824400 838080 865620 888520 916650 923328 931200 932946 961800 977760 989280 999585 1025920 1047600 1066224 1082025 1086400 1099200 1110650 1154160 1173312 1199502 1222200 1236600 1243928 1282400 1303680 1319040 1332780 1384992 1396800 1399419 1421632 1442700 1466640 1538880 1554910 1599336 1629600 1648800 1665975 1676160 1731240 1777040 1833300 1846656 1865892 1923600 1955520 1978560 1999170 2095200 2132448 2164050 2172800 2198400 2221300 2308320 2332365 2346624 2399004 2444400 2473200 2487856 2564800 2665560 2769984 2793600 2798838 2843264 2885400 2933280 2998755 3077760 3109820 3198672 3259200 3297600 3331950 3462480 3554080 3666600 3731784 3847200 3887275 3911040 3957120 3998340 4190400 4198257 4264896 4328100 4442600 4616640 4664730 4798008 4888800 4946400 4975712 4997925 5129600 5331120 5539968 5597676 5770800 5866560 5997510 6219640 6397344 6518400 6595200 6663900 6924960 6997095 7108160 7333200 7463568 7694400 7774550 7996680 8380800 8396514 8529792 8656200 8885200 9233280 9329460 9596016 9777600 9892800 9951424 9995850 10662240 11195352 11541600 11661825 11733120 11995020 12439280 12794688 13327800 13849920 13994190 14216320 14666400 14927136 14993775 15388800 15549100 15993360 16793028 17312400 17770400 18658920 19192032 19555200 19785600 19902848 19991700 20991285 21324480 22390704 23083200 23323650 23990040 24878560 25589376 26655600 27699840 27988380 29332800 29854272 29987550 31098200 31986720 33586056 34624800 34985475 35540800 37317840 38384064 39983400 41982570 42648960 44781408 46166400 46647300 47980080 49757120 53311200 55976760 58665600 59708544 59975100 62196400 63973440 67172112 69249600 69970950 71081600 74635680 76768128 79966800 83965140 89562816 93294600 95960160 99514240 104956425 106622400 111953520 119950200 124392800 127946880 134344224 138499200 139941900 149271360 159933600 167930280 179125632 186589200 191920320 209912850 213244800 223907040 239900400 248785600 268688448 279883800 298542720 319867200 335860560 373178400 383840640 419825700 447814080 479800800 497571200 537376896 559767600 639734400 671721120 746356800 839651400 895628160 959601600 1119535200 1343442240 1492713600 1679302800 1919203200 2239070400 2686884480 3358605600 4478140800 6717211200 13434422400
- Sum of all divisors σ(n): 57017184000
- Sum of proper divisors (its aliquot sum) s(n): 43582761600
- 13434422400 is an abundant number, because the sum of its proper divisors (43582761600) is greater than itself. Its abundance is 30148339200
Bases of 13434422400
- Binary: 11001000001100000100000100100000002
- Hexadecimal: 0x320C10480
- Base-36: 666IAO0
Squares and roots of 13434422400
- 13434422400 squared (134344224002) is 180483705221621760000
- 13434422400 cubed (134344224003) is 2424694332264352336871424000000
-
The
square root of 13434422400 is 115906.9557878215 -
The
cube root of 13434422400 is 2377.2398385827
Scales and comparisons
How big is 13434422400?- 13,434,422,400 seconds is equal to 427 years, 9 weeks.
-
To count from 1 to 13,434,422,400 would take you about eight hundred fifty-four 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 13434422400 cubic inches would be around 198.1 feet tall.
Recreational maths with 13434422400
- 13434422400 backwards is 00422443431
- 13434422400 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 13434422400's digits is 27
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13434422400 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 13434422400 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/13434422400/
Chicago style:
Numbermatics. 2024. "Number 13434422400 - Facts about the integer". https://numbermatics.com/n/13434422400/
The information we have on file for 13434422400 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!
Keywords: Divisors of 13434422400, math, Factors of 13434422400, curriculum, school, college, exams, university, Prime factorization of 13434422400, STEM, science, technology, engineering, physics, economics, calculator, thirteen billion, four hundred thirty-four million, four hundred twenty-two thousand, four hundred.