12684431136000
12,684,431,136,000 is an even composite number composed of seven prime numbers multiplied together.
12684431136000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 12684431136000:
28 × 3 × 53 × 13 × 17 × 547 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 17 × 547 × 1093)See below for interesting mathematical facts about the number 12684431136000 from the Numbermatics database.
Names of 12684431136000
- Cardinal: 12684431136000 can be written as Twelve trillion, six hundred eighty-four billion, four hundred thirty-one million, one hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.2684431136 × 1013
Factors of 12684431136000
Divisors of 12684431136000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 60 64 65 68 75 78 80 85 96 100 102 104 120 125 128 130 136 150 156 160 170 192 195 200 204 208 221 240 250 255 256 260 272 300 312 320 325 340 375 384 390 400 408 416 425 442 480 500 510 520 544 547 600 624 640 650 663 680 750 768 780 800 816 832 850 884 960 975 1000 1020 1040 1088 1093 1094 1105 1200 1248 1275 1280 1300 1326 1360 1500 1560 1600 1625 1632 1641 1664 1700 1768 1920 1950 2000 2040 2080 2125 2176 2186 2188 2210 2400 2496 2550 2600 2652 2720 2735 3000 3120 3200 3250 3264 3279 3282 3315 3328 3400 3536 3840 3900 4000 4080 4160 4250 4352 4372 4376 4420 4800 4875 4992 5100 5200 5304 5440 5465 5470 5525 6000 6240 6375 6400 6500 6528 6558 6564 6630 6800 7072 7111 7800 8000 8160 8205 8320 8500 8744 8752 8840 9299 9600 9750 9984 10200 10400 10608 10880 10930 10940 11050 12000 12480 12750 13000 13056 13116 13128 13260 13600 13675 14144 14209 14222 15600 16000 16320 16395 16410 16575 16640 17000 17488 17504 17680 18581 18598 19200 19500 20400 20800 21216 21333 21760 21860 21880 22100 24000 24960 25500 26000 26232 26256 26520 27200 27325 27350 27625 27897 28288 28418 28444 31200 32000 32640 32790 32820 33150 34000 34976 35008 35360 35555 37162 37196 39000 40800 41025 41600 42432 42627 42666 43720 43760 44200 46495 48000 49920 51000 52000 52464 52512 53040 54400 54650 54700 55250 55743 55794 56576 56836 56888 62400 65280 65580 65640 66300 68000 68375 69952 70016 70720 71045 71110 74324 74392 78000 81600 81975 82050 82875 83200 84864 85254 85332 87440 87520 88400 92905 92990 96000 102000 104000 104928 105024 106080 106665 108800 109300 109400 110500 111486 111588 113672 113776 120887 124800 131160 131280 132600 136000 136625 136750 139485 139904 140032 141440 142090 142220 148648 148784 156000 163200 163950 164100 165750 169728 170508 170664 174880 175040 176800 177775 185810 185980 204000 205125 208000 209856 210048 212160 213135 213330 218600 218800 221000 222972 223176 227344 227552 232475 241553 241774 249600 262320 262560 265200 272000 273250 273500 278715 278970 279808 282880 284180 284440 297296 297568 312000 326400 327900 328200 331500 341016 341328 349760 350080 353600 355225 355550 362661 371620 371960 408000 409875 410250 416000 419712 420096 424320 426270 426660 437200 437600 442000 445944 446352 454688 455104 464525 464950 483106 483548 524640 525120 530400 533325 544000 546500 547000 557430 557940 568360 568880 594592 595136 597871 604435 624000 655800 656400 663000 682032 682656 697425 699520 700160 707200 710450 711100 724659 725322 743240 743920 816000 819750 820500 839424 848640 852540 853320 874400 875200 884000 888875 891888 892704 909376 910208 929050 929900 966212 967096 1049280 1050240 1060800 1065675 1066650 1093000 1094000 1114860 1115880 1136720 1137760 1162375 1189184 1190272 1195742 1207765 1208870 1248000 1311600 1312800 1326000 1364064 1365312 1393575 1394850 1399040 1414400 1420900 1422200 1449318 1450644 1486480 1487840 1632000 1639500 1641000 1705080 1706640 1748800 1750400 1768000 1776125 1777750 1783776 1785408 1793613 1813305 1818752 1820416 1858100 1859800 1932424 1934192 2098560 2100480 2121600 2131350 2133300 2186000 2188000 2229720 2231760 2273440 2275520 2322625 2324750 2378368 2380544 2391484 2415530 2417740 2623200 2625600 2652000 2666625 2728128 2730624 2787150 2789700 2841800 2844400 2898636 2901288 2972960 2975680 2989355 3022175 3279000 3282000 3410160 3413280 3487125 3497600 3500800 3536000 3552250 3555500 3567552 3570816 3587226 3623295 3626610 3637504 3716200 3719600 3864848 3868384 4197120 4243200 4262700 4266600 4372000 4376000 4459440 4463520 4546880 4551040 4645250 4649500 4756736 4782968 4831060 4835480 5246400 5251200 5304000 5328375 5333250 5456256 5461248 5574300 5579400 5683600 5688800 5797272 5802576 5945920 5951360 5978710 6038825 6044350 6558000 6564000 6820320 6826560 6967875 6974250 6995200 7072000 7104500 7111000 7135104 7141632 7174452 7246590 7253220 7432400 7439200 7729696 7736768 7772323 8525400 8533200 8744000 8752000 8918880 8927040 8968065 9066525 9093760 9102080 9290500 9299000 9565936 9662120 9670960 10163807 10492800 10502400 10608000 10656750 10666500 10912512 11148600 11158800 11367200 11377600 11594544 11605152 11891840 11902720 11957420 12077650 12088700 13116000 13128000 13640640 13653120 13935750 13948500 14209000 14222000 14270208 14348904 14493180 14506440 14864800 14878400 14946775 15110875 15459392 15473536 15544646 17050800 17066400 17488000 17504000 17837760 17854080 17936130 18116475 18133050 18187520 18581000 18598000 19131872 19324240 19341920 20327614 20985600 21216000 21313500 21333000 22297200 22317600 22734400 22755200 23189088 23210304 23316969 23783680 23914840 24155300 24177400 26232000 26256000 27281280 27306240 27871500 27897000 28418000 28444000 28697808 28986360 29012880 29729600 29756800 29893550 30194125 30221750 30491421 30918784 30947072 31089292 34101600 34132800 34976000 35675520 35708160 35872260 36232950 36266100 37162000 37196000 38263744 38648480 38683840 38861615 40655228 42627000 42666000 44594400 44635200 44840325 45332625 45468800 45510400 46378176 46420608 46633938 47829680 48310600 48354800 50819035 52464000 52512000 54562560 55743000 55794000 56836000 56888000 57395616 57972720 58025760 59459200 59513600 59787100 60388250 60443500 60982842 61837568 62178584 68203200 68265600 71351040 71744520 72465900 72532200 74324000 74392000 74733875 76527488 77296960 77367680 77723230 81310456 85254000 85332000 89188800 89270400 89680650 90582375 90665250 90937600 92756352 92841216 93267876 95659360 96621200 96709600 101638070 104928000 111486000 111588000 113672000 113776000 114791232 115945440 116051520 116584845 118918400 119574200 120776500 120887000 121965684 124357168 132129491 136406400 136531200 143489040 144931800 145064400 148648000 148784000 149467750 152457105 153054976 154593920 154735360 155446460 162620912 170508000 170664000 178377600 178540800 179361300 181164750 181330500 185512704 186535752 191318720 193242400 193419200 194308075 203276140 222972000 223176000 224201625 227344000 227552000 229582464 231890880 232103040 233169690 239148400 241553000 241774000 243931368 248714336 254095175 264258982 272812800 286978080 289863600 290128800 297296000 297568000 298935500 304914210 309187840 310892920 325241824 341016000 341328000 356755200 358722600 362329500 362661000 373071504 382637440 386484800 386838400 388616150 396388473 406552280 445944000 446352000 448403250 454688000 459164928 463781760 464206080 466339380 478296800 483106000 483548000 487862736 497428672 508190350 528517964 573956160 579727200 580257600 582924225 594592000 597871000 609828420 621785840 650483648 660647455 682032000 682656000 717445200 724659000 725322000 746143008 762285525 765274880 772969600 773676800 777232300 792776946 813104560 891888000 892704000 896806500 927563520 932678760 956593600 966212000 967096000 971540375 975725472 994857344 1016380700 1057035928 1147912320 1159454400 1160515200 1165848450 1195742000 1219656840 1243571680 1270475875 1300967296 1321294910 1364064000 1434890400 1449318000 1450644000 1492286016 1524571050 1545939200 1554464600 1585553892 1626209120 1783776000 1793613000 1865357520 1913187200 1932424000 1934192000 1943080750 1951450944 1981942365 1989714688 2032761400 2114071856 2295824640 2318908800 2321030400 2331696900 2391484000 2439313680 2487143360 2540951750 2601934592 2642589820 2869780800 2898636000 2901288000 2914621125 2984572032 3049142100 3108929200 3171107784 3252418240 3303237275 3587226000 3730715040 3811427625 3826374400 3864848000 3868384000 3886161500 3902901888 3963884730 4065522800 4228143712 4637817600 4663393800 4782968000 4878627360 4974286720 5081903500 5285179640 5739561600 5797272000 5802576000 5829242250 5969144064 6098284200 6217858400 6342215568 6504836480 6606474550 7174452000 7461430080 7622855250 7729696000 7772323000 7805803776 7927769460 8131045600 8456287424 9326787600 9565936000 9757254720 9909711825 9948573440 10163807000 10570359280 11479123200 11594544000 11605152000 11658484500 12196568400 12435716800 12684431136 13009672960 13212949100 14348904000 14922860160 15245710500 15544646000 15855538920 16262091200 16516186375 16912574848 18653575200 19131872000 19514509440 19819423650 20327614000 21140718560 23189088000 23316969000 24393136800 24871433600 25368862272 26425898200 28697808000 29845720320 30491421000 31089292000 31711077840 32524182400 33032372750 33825149696 37307150400 39029018880 39638847300 40655228000 42281437120 46633938000 48786273600 49548559125 49742867200 50737724544 52851796400 57395616000 60982842000 62178584000 63422155680 65048364800 66064745500 74614300800 79277694600 81310456000 84562874240 93267876000 97572547200 99097118250 101475449088 105703592800 121965684000 124357168000 126844311360 132129491000 149228601600 158555389200 162620912000 169125748480 186535752000 195145094400 198194236500 211407185600 243931368000 248714336000 253688622720 264258982000 317110778400 325241824000 373071504000 396388473000 422814371200 487862736000 507377245440 528517964000 634221556800 746143008000 792776946000 845628742400 975725472000 1057035928000 1268443113600 1585553892000 2114071856000 2536886227200 3171107784000 4228143712000 6342215568000 12684431136000
- Sum of all divisors σ(n): 48173024180736
- Sum of proper divisors (its aliquot sum) s(n): 35488593044736
- 12684431136000 is an abundant number, because the sum of its proper divisors (35488593044736) is greater than itself. Its abundance is 22804161908736
Bases of 12684431136000
- Binary: 101110001001010100110000001100010101000000002
- Hexadecimal: 0xB8953031500
- Base-36: 4HV5ASNPC
Squares and roots of 12684431136000
- 12684431136000 squared (126844311360002) is 160894793243926250496000000
- 12684431136000 cubed (126844311360003) is 2040858925043540574679197843456000000000
-
The
square root of 12684431136000 is 3561520.9020866353 -
The
cube root of 12684431136000 is 23321.5278300977
Scales and comparisons
How big is 12684431136000?- 12,684,431,136,000 seconds is equal to 403,325 years, 35 weeks, 13 hours, 20 minutes.
-
To count from 1 to 12,684,431,136,000 would take you about one million, eight thousand, three hundred fourteen 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 12684431136000 cubic inches would be around 1943.5 feet tall.
Recreational maths with 12684431136000
- 12684431136000 backwards is 00063113448621
- 12684431136000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12684431136000's digits is 39
- 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 12684431136000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 12684431136000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/12684431136000/
Chicago style:
Numbermatics. 2024. "Number 12684431136000 - Facts about the integer". https://numbermatics.com/n/12684431136000/
The information we have on file for 12684431136000 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 12684431136000, math, Factors of 12684431136000, curriculum, school, college, exams, university, Prime factorization of 12684431136000, STEM, science, technology, engineering, physics, economics, calculator, twelve trillion, six hundred eighty-four billion, four hundred thirty-one million, one hundred thirty-six thousand.