13971112064000
13,971,112,064,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13971112064000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1584 divisors.
13971112064000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 13971112064000:
210 × 53 × 72 × 13 × 532 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 13 × 53 × 53 × 61)See below for interesting mathematical facts about the number 13971112064000 from the Numbermatics database.
Names of 13971112064000
- Cardinal: 13971112064000 can be written as Thirteen trillion, nine hundred seventy-one billion, one hundred twelve million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.3971112064 × 1013
Factors of 13971112064000
Divisors of 13971112064000
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 53 56 61 64 65 70 80 91 98 100 104 106 112 122 125 128 130 140 160 175 182 196 200 208 212 224 244 245 250 256 260 265 280 305 320 325 350 364 371 392 400 416 424 427 448 455 488 490 500 512 520 530 560 610 637 640 650 689 700 728 742 784 793 800 832 848 854 875 896 910 976 980 1000 1024 1040 1060 1120 1220 1225 1274 1280 1300 1325 1378 1400 1456 1484 1525 1568 1586 1600 1625 1664 1696 1708 1750 1792 1820 1855 1952 1960 2000 2080 2120 2135 2240 2275 2440 2450 2548 2560 2597 2600 2650 2756 2800 2809 2912 2968 2989 3050 3136 3172 3185 3200 3233 3250 3328 3392 3416 3445 3500 3584 3640 3710 3904 3920 3965 4000 4160 4240 4270 4480 4550 4823 4880 4900 5096 5120 5194 5200 5300 5512 5551 5600 5618 5824 5936 5978 6100 6125 6272 6344 6370 6400 6466 6500 6625 6656 6784 6832 6890 7000 7168 7280 7420 7625 7808 7840 7930 8000 8320 8480 8540 8960 9100 9275 9646 9760 9800 10192 10388 10400 10600 10675 11024 11102 11200 11236 11375 11648 11872 11956 12200 12250 12544 12688 12740 12800 12932 12985 13000 13250 13312 13568 13664 13780 14000 14045 14560 14840 14945 15250 15616 15680 15860 15925 16000 16165 16640 16960 17080 17225 17920 18200 18550 19292 19520 19600 19663 19825 20384 20776 20800 21200 21350 22048 22204 22400 22472 22631 22750 23296 23744 23912 24115 24400 24500 25088 25376 25480 25600 25864 25970 26000 26500 27136 27328 27560 27755 28000 28090 29120 29680 29890 30500 31232 31360 31720 31850 32000 32330 33280 33761 33920 34160 34450 35840 36400 36517 37100 38584 38857 39040 39200 39326 39650 40768 41552 41600 42029 42400 42700 44096 44408 44800 44944 45262 45500 46375 46592 47488 47824 48230 48800 49000 50176 50752 50960 51728 51940 52000 53000 53375 54272 54656 55120 55510 56000 56180 58240 59360 59780 61000 62464 62720 63440 63700 64000 64660 64925 66560 67522 67840 68320 68900 70225 72800 73034 74200 74725 77168 77714 78080 78400 78652 79300 79625 80825 81536 83104 83200 84058 84800 85400 86125 88192 88816 89600 89888 90524 91000 92750 93184 94976 95648 96460 97600 98000 98315 99125 101504 101920 103456 103880 104000 106000 106750 109312 110240 111020 112000 112360 113155 116480 118720 119560 120575 122000 125440 126880 127400 128000 129320 129850 135044 135680 136640 137641 137800 138775 140450 145600 146068 148400 149450 154336 155428 156160 156800 157304 158417 158600 159250 161650 163072 166208 166400 168116 168805 169600 170800 171349 172250 176384 177632 179200 179776 181048 182000 182585 185500 189952 191296 192920 194285 195200 196000 196630 198250 203008 203840 206912 207760 208000 210145 212000 213500 218624 220480 222040 224000 224720 226310 232960 237440 239120 241150 244000 250880 253760 254800 255619 258640 259700 270088 271360 273280 275282 275600 277550 280900 291200 292136 294203 296800 298900 308672 310856 312320 313600 314608 316834 317200 318500 323300 324625 326144 332416 332800 336232 337610 339200 341600 342698 344500 351125 352768 355264 359552 362096 364000 365170 371000 373625 379904 382592 385840 388570 390400 392000 393260 396500 404125 406016 407680 413824 415520 416000 420290 424000 427000 437248 440960 444080 448000 449440 452620 465920 474880 478240 482300 488000 491575 507520 509600 511238 517280 519400 540176 546560 550564 551200 555100 561800 565775 582400 584272 588406 593600 597800 602875 617344 621712 627200 629216 633668 634400 637000 646600 649250 652288 664832 672464 675220 678400 683200 685396 688205 689000 693875 702250 705536 710528 719104 724192 728000 730340 742000 747250 765184 771680 777140 780800 784000 786520 792085 793000 808250 812032 815360 827648 831040 832000 840580 844025 848000 854000 856745 881920 888160 896000 898880 905240 912925 949760 956480 964600 971425 976000 983150 1015040 1019200 1022476 1034560 1038800 1050725 1080352 1093120 1101128 1102400 1110200 1123600 1131550 1164800 1168544 1176812 1187200 1195600 1199443 1205750 1234688 1243424 1254400 1258432 1267336 1268800 1274000 1278095 1293200 1298500 1329664 1344928 1350440 1356800 1366400 1370792 1376410 1378000 1387750 1404500 1421056 1438208 1448384 1456000 1460680 1471015 1484000 1494500 1530368 1543360 1554280 1561600 1568000 1573040 1584170 1586000 1616500 1630720 1655296 1662080 1664000 1681160 1688050 1696000 1708000 1713490 1763840 1776320 1789333 1797760 1810480 1825850 1899520 1912960 1929200 1942850 1952000 1966300 2030080 2038400 2044952 2059421 2069120 2077600 2101450 2160704 2186240 2202256 2204800 2220400 2227537 2247200 2263100 2329600 2337088 2353624 2374400 2391200 2398886 2411500 2457875 2469376 2486848 2516864 2534672 2537600 2548000 2556190 2586400 2597000 2659328 2689856 2700880 2732800 2741584 2752820 2756000 2775500 2809000 2828875 2842112 2876416 2896768 2912000 2921360 2942030 2968000 2989000 3060736 3086720 3108560 3136000 3146080 3168340 3172000 3233000 3261440 3310592 3324160 3362320 3376100 3392000 3416000 3426980 3441025 3527680 3552640 3578666 3595520 3620960 3651700 3825920 3858400 3885700 3904000 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31683400 31952375 32719232 32950736 33241600 33584404 33623200 33761000 34269800 34410250 34571264 35236096 35526400 35640592 35786660 35955200 36209600 36517000 36775375 37393408 37657984 38259200 38382176 38584000 38857000 39326000 39604250 39789568 40554752 40768000 40899040 41188420 41382400 41552000 41980505 42029000 42837250 43037696 43214080 43865344 44045120 44096000 44408000 44550740 44733325 44944000 45262000 46741760 47072480 47488000 47824000 47977720 49736960 50337280 50693440 50752000 51123800 51485525 51728000 53797120 54017600 54656000 54831680 55056400 55688425 57258656 57935360 58427200 58840600 59972150 61734400 62171200 62371036 62921600 63366800 63904750 65438464 65901472 66483200 67168808 67246400 67522000 68539600 68820500 70472192 71052800 71281184 71573320 71910400 72419200 73034000 73550750 75315968 76518400 76764352 77168000 77714000 77963795 78652000 79208500 81109504 81536000 81798080 82376840 82764800 83104000 83961010 84058000 85674500 86428160 87730688 88090240 88192000 88816000 89101480 89466650 89888000 90524000 93483520 94144960 95648000 95955440 99473920 100674560 101386880 101504000 102247600 102971050 103456000 107594240 108035200 109149313 109663360 110112800 111376850 114517312 115870720 116854400 117681200 119944300 123468800 124342400 124742072 125843200 126733600 127809500 130876928 131802944 134337616 134492800 135044000 137079200 137641000 140944384 142105600 142562368 143146640 144838400 146068000 147101500 149930375 150631936 153528704 154336000 155428000 155927590 157304000 158417000 162219008 163596160 164753680 166208000 167922020 168116000 171349000 172856320 175461376 176180480 177632000 178202960 178933300 179776000 181048000 186967040 188289920 191296000 191910880 198947840 202773760 204495200 205942100 206912000 209902525 215188480 216070400 218298626 219326720 220225600 222753700 223666625 229034624 233708800 235362400 239888600 248684800 249484144 251686400 253467200 255619000 257427625 261753856 263605888 268675232 268985600 270088000 274158400 275282000 278442125 285124736 286293280 289676800 292136000 294203000 299860750 301263872 307057408 308672000 310856000 311855180 314608000 316834000 327192320 329507360 332416000 335844040 336232000 342698000 352360960 355264000 356405920 357866600 359552000 362096000 376579840 382592000 383821760 389818975 405547520 408990400 411884200 413824000 419805050 432140800 436597252 438653440 440451200 445507400 447333250 458069248 467417600 470724800 479777200 497369600 498968288 503372800 506934400 511238000 514855250 527211776 537350464 537971200 540176000 545746565 548316800 550564000 556884250 570249472 572586560 579353600 584272000 588406000 599721500 614114816 617344000 621712000 623710360 629216000 633668000 654384640 659014720 671688080 672464000 685396000 704721920 710528000 712811840 715733200 724192000 753159680 767643520 779637950 811095040 817980800 823768400 839610100 864281600 873194504 877306880 880902400 891014800 894666500 916138496 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4055475200 4089904000 4118842000 4198050500 4298803712 4321408000 4365972520 4386534400 4404512000 4455074000 4580692480 4674176000 4707248000 4797772000 4973696000 4989682880 5069344000 5272117760 5373504640 5379712000 5457465650 5483168000 5702494720 5725865600 6141148160 6237103600 6543846400 6590147200 6716880800 6985556032 7128118400 7157332000 7531596800 7676435200 7796379500 7983492608 8179808000 8237684000 8396101000 8597607424 8731945040 8809024000 8910148000 9161384960 9414496000 9595544000 9979365760 10138688000 10544235520 10747009280 10914931300 10966336000 11404989440 11451731200 12474207200 13180294400 13433761600 13643664125 13971112064 14256236800 14314664000 15352870400 15592759000 15966985216 16359616000 16475368000 16792202000 17463890080 17618048000 17820296000 18828992000 19191088000 19958731520 20277376000 21494018560 21829862600 21932672000 22903462400 24948414400 26360588800 26867523200 27287328250 27942224128 28512473600 28629328000 30705740800 31185518000 32719232000 32950736000 33584404000 34927780160 35640592000 37657984000 38382176000 39917463040 42988037120 43659725200 45806924800 49896828800 52721177600 53735046400 54574656500 55884448256 57024947200 57258656000 62371036000 65901472000 67168808000 69855560320 71281184000 76764352000 79834926080 87319450400 99793657600 107470092800 109149313000 111768896512 114517312000 124742072000 131802944000 134337616000 139711120640 142562368000 153528704000 174638900800 199587315200 214940185600 218298626000 229034624000 249484144000 263605888000 268675232000 279422241280 285124736000 349277801600 399174630400 436597252000 498968288000 537350464000 558844482560 698555603200 873194504000 997936576000 1074700928000 1397111206400 1746389008000 1995873152000 2794222412800 3492778016000 6985556032000 13971112064000
- Sum of all divisors σ(n): 45233310101616
- Sum of proper divisors (its aliquot sum) s(n): 31262198037616
- 13971112064000 is an abundant number, because the sum of its proper divisors (31262198037616) is greater than itself. Its abundance is 17291085973616
Bases of 13971112064000
- Binary: 110010110100111001110010101111110100000000002
- Hexadecimal: 0xCB4E72BF400
- Base-36: 4YA8NEDQ8
Squares and roots of 13971112064000
- 13971112064000 squared (139711120640002) is 195191972304846340096000000
- 13971112064000 cubed (139711120640003) is 2727048919064192587781472518144000000000
-
The
square root of 13971112064000 is 3737795.0805254159 -
The
cube root of 13971112064000 is 24084.8340754621
Scales and comparisons
How big is 13971112064000?- 13,971,112,064,000 seconds is equal to 444,238 years, 7 weeks, 4 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,971,112,064,000 would take you about one million, one hundred ten thousand, five hundred ninety-five 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 13971112064000 cubic inches would be around 2007.1 feet tall.
Recreational maths with 13971112064000
- 13971112064000 backwards is 00046021117931
- 13971112064000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13971112064000's digits is 35
- More coming soon!
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The information we have on file for 13971112064000 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 13971112064000, math, Factors of 13971112064000, curriculum, school, college, exams, university, Prime factorization of 13971112064000, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, nine hundred seventy-one billion, one hundred twelve million, sixty-four thousand.