12814350336000
12,814,350,336,000 is an even composite number composed of four prime numbers multiplied together.
12814350336000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 12814350336000:
214 × 37 × 53 × 2861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 2861)See below for interesting mathematical facts about the number 12814350336000 from the Numbermatics database.
Names of 12814350336000
- Cardinal: 12814350336000 can be written as Twelve trillion, eight hundred fourteen billion, three hundred fifty million, three hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.2814350336 × 1013
Factors of 12814350336000
Divisors of 12814350336000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 240 243 250 256 270 288 300 320 324 360 375 384 400 405 432 450 480 486 500 512 540 576 600 640 648 675 720 729 750 768 800 810 864 900 960 972 1000 1024 1080 1125 1152 1200 1215 1280 1296 1350 1440 1458 1500 1536 1600 1620 1728 1800 1920 1944 2000 2025 2048 2160 2187 2250 2304 2400 2430 2560 2592 2700 2861 2880 2916 3000 3072 3200 3240 3375 3456 3600 3645 3840 3888 4000 4050 4096 4320 4374 4500 4608 4800 4860 5120 5184 5400 5722 5760 5832 6000 6075 6144 6400 6480 6750 6912 7200 7290 7680 7776 8000 8100 8192 8583 8640 8748 9000 9216 9600 9720 10125 10240 10368 10800 10935 11444 11520 11664 12000 12150 12288 12800 12960 13500 13824 14305 14400 14580 15360 15552 16000 16200 16384 17166 17280 17496 18000 18225 18432 19200 19440 20250 20480 20736 21600 21870 22888 23040 23328 24000 24300 24576 25600 25749 25920 27000 27648 28610 28800 29160 30375 30720 31104 32000 32400 34332 34560 34992 36000 36450 36864 38400 38880 40500 40960 41472 42915 43200 43740 45776 46080 46656 48000 48600 49152 51200 51498 51840 54000 54675 55296 57220 57600 58320 60750 61440 62208 64000 64800 68664 69120 69984 71525 72000 72900 73728 76800 77247 77760 81000 81920 82944 85830 86400 87480 91125 91552 92160 93312 96000 97200 102400 102996 103680 108000 109350 110592 114440 115200 116640 121500 122880 124416 128000 128745 129600 137328 138240 139968 143050 144000 145800 147456 153600 154494 155520 162000 165888 171660 172800 174960 182250 183104 184320 186624 192000 194400 204800 205992 207360 214575 216000 218700 221184 228880 230400 231741 233280 243000 245760 248832 256000 257490 259200 273375 274656 276480 279936 286100 288000 291600 307200 308988 311040 324000 331776 343320 345600 349920 357625 364500 366208 368640 373248 384000 386235 388800 409600 411984 414720 429150 432000 437400 442368 457760 460800 463482 466560 486000 497664 512000 514980 518400 546750 549312 552960 559872 572200 576000 583200 614400 617976 622080 643725 648000 663552 686640 691200 695223 699840 715250 729000 732416 737280 746496 768000 772470 777600 823968 829440 858300 864000 874800 915520 921600 926964 933120 972000 995328 1024000 1029960 1036800 1072875 1093500 1098624 1105920 1119744 1144400 1152000 1158705 1166400 1228800 1235952 1244160 1287450 1296000 1327104 1373280 1382400 1390446 1399680 1430500 1458000 1464832 1492992 1536000 1544940 1555200 1647936 1658880 1716600 1728000 1749600 1831040 1843200 1853928 1866240 1931175 1944000 1990656 2048000 2059920 2073600 2085669 2145750 2187000 2197248 2211840 2239488 2288800 2304000 2317410 2332800 2471904 2488320 2574900 2592000 2746560 2764800 2780892 2799360 2861000 2916000 2929664 2985984 3072000 3089880 3110400 3218625 3295872 3317760 3433200 3456000 3476115 3499200 3662080 3686400 3707856 3732480 3862350 3888000 3981312 4119840 4147200 4171338 4291500 4374000 4394496 4478976 4577600 4608000 4634820 4665600 4943808 4976640 5149800 5184000 5493120 5529600 5561784 5598720 5722000 5793525 5832000 5859328 5971968 6144000 6179760 6220800 6257007 6437250 6591744 6635520 6866400 6912000 6952230 6998400 7324160 7415712 7464960 7724700 7776000 8239680 8294400 8342676 8583000 8748000 8788992 8957952 9155200 9216000 9269640 9331200 9655875 9887616 9953280 10299600 10368000 10428345 10986240 11059200 11123568 11197440 11444000 11587050 11664000 11718656 11943936 12359520 12441600 12514014 12874500 13183488 13732800 13824000 13904460 13996800 14648320 14831424 14929920 15449400 15552000 16479360 16588800 16685352 17166000 17380575 17496000 17577984 17915904 18310400 18432000 18539280 18662400 19311750 19775232 19906560 20599200 20736000 20856690 21972480 22247136 22394880 22888000 23174100 23328000 23437312 24719040 24883200 25028028 25749000 26366976 27465600 27648000 27808920 27993600 28967625 29296640 29662848 29859840 30898800 31104000 31285035 32958720 33177600 33370704 34332000 34761150 34992000 35155968 35831808 36620800 37078560 37324800 38623500 39550464 41198400 41472000 41713380 43944960 44494272 44789760 45776000 46348200 46656000 46874624 49438080 49766400 50056056 51498000 52141725 52733952 54931200 55296000 55617840 55987200 57935250 58593280 59325696 59719680 61797600 62208000 62570070 65917440 66741408 68664000 69522300 69984000 70311936 73241600 74157120 74649600 77247000 79100928 82396800 82944000 83426760 86902875 87889920 88988544 89579520 91552000 92696400 93312000 98876160 99532800 100112112 102996000 104283450 105467904 109862400 111235680 111974400 115870500 117186560 118651392 123595200 124416000 125140140 131834880 133482816 137328000 139044600 139968000 140623872 146483200 148314240 149299200 154494000 156425175 158201856 164793600 165888000 166853520 173805750 175779840 177977088 179159040 183104000 185392800 186624000 197752320 200224224 205992000 208566900 210935808 219724800 222471360 223948800 231741000 234373120 237302784 247190400 248832000 250280280 260708625 263669760 266965632 274656000 278089200 279936000 292966400 296628480 298598400 308988000 312850350 316403712 329587200 333707040 347611500 351559680 355954176 366208000 370785600 373248000 395504640 400448448 411984000 417133800 421871616 439449600 444942720 447897600 463482000 474605568 494380800 497664000 500560560 521417250 527339520 533931264 549312000 556178400 559872000 585932800 593256960 617976000 625700700 632807424 659174400 667414080 695223000 703119360 711908352 732416000 741571200 746496000 782125875 791009280 800896896 823968000 834267600 878899200 889885440 895795200 926964000 949211136 988761600 1001121120 1042834500 1054679040 1067862528 1098624000 1112356800 1119744000 1171865600 1186513920 1235952000 1251401400 1265614848 1318348800 1334828160 1390446000 1423816704 1464832000 1483142400 1492992000 1564251750 1582018560 1601793792 1647936000 1668535200 1757798400 1779770880 1853928000 1898422272 1977523200 2002242240 2085669000 2109358080 2135725056 2197248000 2224713600 2239488000 2373027840 2471904000 2502802800 2636697600 2669656320 2780892000 2847633408 2929664000 2966284800 3128503500 3164037120 3203587584 3295872000 3337070400 3515596800 3559541760 3707856000 3796844544 3955046400 4004484480 4171338000 4271450112 4394496000 4449427200 4478976000 4746055680 4943808000 5005605600 5273395200 5339312640 5561784000 5695266816 5859328000 5932569600 6257007000 6328074240 6407175168 6591744000 6674140800 7119083520 7415712000 7910092800 8008968960 8342676000 8542900224 8788992000 8898854400 9492111360 9887616000 10011211200 10546790400 10678625280 11123568000 11390533632 11865139200 12514014000 12814350336 13183488000 13348281600 14238167040 14831424000 15820185600 16017937920 16685352000 17085800448 17577984000 17797708800 18984222720 19775232000 20022422400 21357250560 22247136000 23730278400 25028028000 25628700672 26366976000 26696563200 28476334080 29662848000 31640371200 32035875840 33370704000 34171600896 35595417600 39550464000 40044844800 42714501120 44494272000 47460556800 50056056000 51257401344 52733952000 53393126400 56952668160 59325696000 64071751680 66741408000 71190835200 79100928000 80089689600 85429002240 88988544000 94921113600 100112112000 102514802688 106786252800 118651392000 128143503360 133482816000 142381670400 158201856000 160179379200 170858004480 177977088000 200224224000 213572505600 237302784000 256287006720 266965632000 284763340800 320358758400 355954176000 400448448000 427145011200 474605568000 512574013440 533931264000 640717516800 711908352000 800896896000 854290022400 1067862528000 1281435033600 1423816704000 1601793792000 2135725056000 2562870067200 3203587584000 4271450112000 6407175168000 12814350336000
- Sum of all divisors σ(n): 47984917518720
- Sum of proper divisors (its aliquot sum) s(n): 35170567182720
- 12814350336000 is an abundant number, because the sum of its proper divisors (35170567182720) is greater than itself. Its abundance is 22356216846720
Bases of 12814350336000
- Binary: 101110100111100100101100110011000000000000002
- Hexadecimal: 0xBA792CCC000
- Base-36: 4JITXC000
Squares and roots of 12814350336000
- 12814350336000 squared (128143503360002) is 164207574533743312896000000
- 12814350336000 cubed (128143503360003) is 2104213387900218664946610733056000000000
-
The
square root of 12814350336000 is 3579713.7226320209 -
The
cube root of 12814350336000 is 23400.8804402453
Scales and comparisons
How big is 12814350336000?- 12,814,350,336,000 seconds is equal to 407,456 years, 36 weeks, 4 days.
-
To count from 1 to 12,814,350,336,000 would take you about one million, eighteen thousand, six hundred forty-one 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 12814350336000 cubic inches would be around 1950.1 feet tall.
Recreational maths with 12814350336000
- 12814350336000 backwards is 00063305341821
- 12814350336000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12814350336000's digits is 36
- 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 12814350336000 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
APA style:
Numbermatics. (2024). Number 12814350336000 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/12814350336000/
Chicago style:
Numbermatics. 2024. "Number 12814350336000 - Facts about the integer". https://numbermatics.com/n/12814350336000/
The information we have on file for 12814350336000 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 12814350336000, math, Factors of 12814350336000, curriculum, school, college, exams, university, Prime factorization of 12814350336000, STEM, science, technology, engineering, physics, economics, calculator, twelve trillion, eight hundred fourteen billion, three hundred fifty million, three hundred thirty-six thousand.