13142187601920
13,142,187,601,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 13142187601920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1248 divisors.
13142187601920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 13142187601920:
212 × 33 × 5 × 132 × 67 × 2099
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 13 × 13 × 67 × 2099)See below for interesting mathematical facts about the number 13142187601920 from the Numbermatics database.
Names of 13142187601920
- Cardinal: 13142187601920 can be written as Thirteen trillion, one hundred forty-two billion, one hundred eighty-seven million, six hundred one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.314218760192 × 1013
Factors of 13142187601920
Divisors of 13142187601920
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 67 72 78 80 90 96 104 108 117 120 128 130 134 135 144 156 160 169 180 192 195 201 208 216 234 240 256 260 268 270 288 312 320 335 338 351 360 384 390 402 416 432 468 480 507 512 520 536 540 576 585 603 624 640 670 676 702 720 768 780 804 832 845 864 871 936 960 1005 1014 1024 1040 1072 1080 1152 1170 1206 1248 1280 1340 1352 1404 1440 1521 1536 1560 1608 1664 1690 1728 1742 1755 1809 1872 1920 2010 2028 2048 2080 2099 2144 2160 2304 2340 2412 2496 2535 2560 2613 2680 2704 2808 2880 3015 3042 3072 3120 3216 3328 3380 3456 3484 3510 3618 3744 3840 4020 4056 4096 4160 4198 4288 4320 4355 4563 4608 4680 4824 4992 5070 5120 5226 5360 5408 5616 5760 6030 6084 6144 6240 6297 6432 6656 6760 6912 6968 7020 7236 7488 7605 7680 7839 8040 8112 8320 8396 8576 8640 8710 9045 9126 9216 9360 9648 9984 10140 10240 10452 10495 10720 10816 11232 11323 11520 12060 12168 12288 12480 12594 12864 13065 13312 13520 13824 13936 14040 14472 14976 15210 15360 15678 16080 16224 16640 16792 17152 17280 17420 18090 18252 18432 18720 18891 19296 19968 20280 20480 20904 20990 21440 21632 22464 22646 22815 23040 23517 24120 24336 24960 25188 25728 26130 26624 27040 27287 27648 27872 28080 28944 29952 30420 30720 31356 31485 32160 32448 33280 33584 33969 34304 34560 34840 36180 36504 36864 37440 37782 38592 39195 39936 40560 41808 41980 42880 43264 44928 45292 45630 46080 47034 48240 48672 49920 50376 51456 52260 53248 54080 54574 55296 55744 56160 56615 56673 57888 59904 60840 61440 62712 62970 64320 64896 66560 67168 67938 68608 69120 69680 72360 73008 74880 75564 77184 78390 79872 81120 81861 83616 83960 85760 86528 89856 90584 91260 92160 94068 94455 96480 97344 99840 100752 101907 102912 104520 108160 109148 110592 111488 112320 113230 113346 115776 117585 119808 121680 125424 125940 128640 129792 133120 134336 135876 136435 137216 138240 139360 140633 144720 146016 149760 151128 154368 156780 159744 162240 163722 167232 167920 169845 171520 173056 179712 181168 182520 184320 188136 188910 192960 194688 199680 201504 203814 205824 209040 216320 218296 222976 224640 226460 226692 231552 235170 239616 243360 245583 250848 251880 257280 259584 266240 268672 271752 272870 274432 276480 278720 281266 283365 289440 292032 299520 302256 305721 308736 313560 324480 327444 334464 335840 339690 343040 346112 354731 359424 362336 365040 376272 377820 385920 389376 399360 403008 407628 409305 411648 418080 421899 432640 436592 445952 449280 452920 453384 463104 470340 479232 486720 491166 501696 503760 509535 514560 519168 537344 543504 545740 552960 557440 562532 566730 578880 584064 599040 604512 611442 617472 627120 648960 654888 668928 671680 679380 686080 692224 703165 709462 718848 724672 730080 736749 752544 755640 771840 778752 798720 806016 815256 818610 823296 836160 843798 865280 873184 891904 898560 905840 906768 926208 940680 973440 982332 1003392 1007520 1019070 1029120 1038336 1064193 1074688 1087008 1091480 1114880 1125064 1133460 1157760 1168128 1198080 1209024 1222884 1227915 1234944 1254240 1265697 1297920 1309776 1337856 1343360 1358760 1372160 1406330 1418924 1437696 1449344 1460160 1473498 1505088 1511280 1528605 1543680 1557504 1612032 1630512 1637220 1672320 1687596 1730560 1746368 1773655 1783808 1797120 1811680 1813536 1828229 1852416 1881360 1946880 1964664 2006784 2015040 2038140 2058240 2076672 2109495 2128386 2149376 2174016 2182960 2229760 2250128 2266920 2315520 2336256 2396160 2418048 2445768 2455830 2469888 2508480 2531394 2595840 2619552 2675712 2686720 2717520 2812660 2837848 2898688 2920320 2946996 3010176 3022560 3057210 3087360 3115008 3192579 3224064 3261024 3274440 3344640 3375192 3461120 3492736 3547310 3567616 3594240 3623360 3627072 3656458 3683745 3704832 3762720 3797091 3893760 3929328 4013568 4030080 4076280 4116480 4218990 4256772 4298752 4348032 4365920 4459520 4500256 4533840 4631040 4672512 4836096 4891536 4911660 5016960 5062788 5191680 5239104 5320965 5351424 5373440 5435040 5484687 5625320 5675696 5797376 5840640 5893992 6020352 6045120 6114420 6174720 6230016 6328485 6385158 6448128 6522048 6548880 6689280 6750384 6985472 7094620 7188480 7246720 7254144 7312916 7367490 7409664 7525440 7594182 7787520 7858656 8027136 8060160 8152560 8437980 8513544 8597504 8696064 8731840 8919040 9000512 9067680 9141145 9262080 9345024 9577737 9672192 9783072 9823320 10033920 10125576 10383360 10478208 10641930 10702848 10746880 10870080 10969374 11250640 11351392 11594752 11681280 11787984 12040704 12090240 12228840 12349440 12656970 12770316 12896256 13044096 13097760 13378560 13500768 13970944 14189240 14493440 14508288 14625832 14734980 15050880 15188364 15575040 15717312 15962895 16054272 16120320 16305120 16454061 16875960 17027088 17392128 17463680 17838080 18001024 18135360 18282290 18524160 18690048 18985455 19155474 19344384 19566144 19646640 20067840 20251152 20956416 21283860 21493760 21740160 21938748 22501280 22702784 23189504 23362560 23575968 23766977 24081408 24180480 24457680 25313940 25540632 25792512 26088192 26195520 26757120 27001536 27423435 27941888 28378480 28986880 29016576 29251664 29469960 30101760 30376728 31150080 31434624 31925790 32108544 32240640 32610240 32908122 33751920 34054176 34784256 34927360 36002048 36270720 36564580 37048320 37970910 38310948 38688768 39132288 39293280 40135680 40502304 41912832 42567720 42987520 43480320 43877496 45002560 45405568 46379008 46725120 47151936 47533954 47888685 48162816 48360960 48915360 49362183 50627880 51081264 52176384 52391040 53514240 54003072 54846870 55883776 56756960 57973760 58033152 58503328 58939920 60203520 60753456 62869248 63851580 64481280 65220480 65816244 67503840 68108352 69568512 69854720 71300931 72004096 72541440 73129160 75941820 76621896 77377536 78264576 78586560 80271360 81004608 82270305 83825664 85135440 86960640 87754992 90005120 90811136 93450240 94303872 95067908 95777370 96325632 96721920 97830720 98724366 101255760 102162528 104352768 104782080 108006144 109693740 111767552 113513920 115947520 116066304 117006656 117879840 118834885 120407040 121506912 125738496 127703160 128962560 130440960 131632488 135007680 136216704 139137024 139709440 142601862 144008192 145082880 146258320 151883640 153243792 156529152 157173120 160542720 162009216 164540610 167651328 170270880 173921280 175509984 180010240 181622272 188607744 190135816 191554740 193443840 195661440 197448732 202511520 204325056 208705536 209564160 213902793 216012288 219387480 227027840 231895040 232132608 234013312 235759680 237669770 240814080 243013824 246810915 251476992 255406320 260881920 263264976 270015360 272433408 279418880 285203724 288016384 290165760 292516640 303767280 306487584 313058304 314346240 324018432 329081220 335302656 340541760 347842560 351019968 356504655 360020480 363244544 377215488 380271632 383109480 386887680 391322880 394897464 405023040 408650112 417411072 419128320 427805586 432024576 438774960 454055680 468026624 471519360 475339540 481628160 486027648 493621830 502953984 510812640 521763840 526529952 540030720 544866816 558837760 570407448 576032768 580331520 585033280 607534560 612975168 626116608 628692480 641708379 648036864 658162440 681083520 695685120 702039936 713009310 720040960 726489088 754430976 760543264 766218960 782645760 789794928 810046080 817300224 838256640 855611172 864049152 877549920 908111360 936053248 943038720 950679080 972055296 987243660 1005907968 1021625280 1043527680 1053059904 1069513965 1080061440 1089733632 1140814896 1160663040 1170066560 1215069120 1225950336 1252233216 1257384960 1283416758 1296073728 1316324880 1362167040 1404079872 1426018620 1440081920 1452978176 1508861952 1521086528 1532437920 1565291520 1579589856 1620092160 1634600448 1676513280 1711222344 1728098304 1755099840 1816222720 1872106496 1886077440 1901358160 1944110592 1974487320 2043250560 2087055360 2106119808 2139027930 2160122880 2179467264 2281629792 2340133120 2430138240 2451900672 2514769920 2566833516 2592147456 2632649760 2724334080 2808159744 2852037240 2880163840 3017723904 3042173056 3064875840 3130583040 3159179712 3208541895 3240184320 3269200896 3422444688 3510199680 3632445440 3744212992 3772154880 3802716320 3888221184 3948974640 4086501120 4212239616 4278055860 4320245760 4358934528 4563259584 4680266240 4860276480 4903801344 5029539840 5133667032 5184294912 5265299520 5448668160 5616319488 5704074480 6084346112 6129751680 6261166080 6318359424 6417083790 6480368640 6538401792 6844889376 7020399360 7264890880 7488425984 7544309760 7605432640 7776442368 7897949280 8173002240 8424479232 8556111720 8640491520 9126519168 9360532480 9720552960 9807602688 10267334064 10530599040 10897336320 11232638976 11408148960 12168692224 12259503360 12636718848 12834167580 12960737280 13076803584 13689778752 14040798720 15088619520 15210865280 15552884736 15795898560 16346004480 16848958464 17112223440 18253038336 18721064960 19441105920 19615205376 20534668128 21061198080 21794672640 22465277952 22816297920 24337384448 24519006720 25273437696 25668335160 25921474560 27379557504 28081597440 30421730560 31591797120 32692008960 33697916928 34224446880 36506076672 37442129920 38882211840 39230410752 41069336256 42122396160 45632595840 48674768896 49038013440 50546875392 51336670320 54759115008 56163194880 60843461120 63183594240 65384017920 67395833856 68448893760 73012153344 77764423680 82138672512 84244792320 91265191680 97349537792 98076026880 101093750784 102673340640 109518230016 112326389760 121686922240 126367188480 136897787520 146024306688 164277345024 168489584640 182530383360 196152053760 202187501568 205346681280 219036460032 243373844480 252734376960 273795575040 292048613376 328554690048 336979169280 365060766720 410693362560 438072920064 486747688960 505468753920 547591150080 657109380096 730121533440 821386725120 876145840128 1010937507840 1095182300160 1314218760192 1460243066880 1642773450240 2190364600320 2628437520384 3285546900480 4380729200640 6571093800960 13142187601920
- Sum of all divisors σ(n): 51372117216000
- Sum of proper divisors (its aliquot sum) s(n): 38229929614080
- 13142187601920 is an abundant number, because the sum of its proper divisors (38229929614080) is greater than itself. Its abundance is 25087742012160
Bases of 13142187601920
- Binary: 101111110011111001110110110001110000000000002
- Hexadecimal: 0xBF3E76C7000
- Base-36: 4NPFR6DC0
Squares and roots of 13142187601920
- 13142187601920 squared (131421876019202) is 172717094964059760387686400
- 13142187601920 cubed (131421876019203) is 2269880464076305450957018138712997888000
-
The
square root of 13142187601920 is 3625215.5248922787 -
The
cube root of 13142187601920 is 23598.7620256483
Scales and comparisons
How big is 13142187601920?- 13,142,187,601,920 seconds is equal to 417,880 years, 47 weeks, 3 days, 19 hours, 12 minutes.
-
To count from 1 to 13,142,187,601,920 would take you about one million, forty-four thousand, seven hundred two 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 13142187601920 cubic inches would be around 1966.6 feet tall.
Recreational maths with 13142187601920
- 13142187601920 backwards is 02910678124131
- 13142187601920 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13142187601920's digits is 45
- 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 13142187601920 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
APA style:
Numbermatics. (2024). Number 13142187601920 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/13142187601920/
Chicago style:
Numbermatics. 2024. "Number 13142187601920 - Facts about the integer". https://numbermatics.com/n/13142187601920/
The information we have on file for 13142187601920 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 13142187601920, math, Factors of 13142187601920, curriculum, school, college, exams, university, Prime factorization of 13142187601920, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, one hundred forty-two billion, one hundred eighty-seven million, six hundred one thousand, nine hundred twenty.