13136468140800
13,136,468,140,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 13136468140800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 648 divisors.
13136468140800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 13136468140800:
28 × 32 × 52 × 31 × 4561 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 31 × 4561 × 1613)See below for interesting mathematical facts about the number 13136468140800 from the Numbermatics database.
Names of 13136468140800
- Cardinal: 13136468140800 can be written as Thirteen trillion, one hundred thirty-six billion, four hundred sixty-eight million, one hundred forty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.31364681408 × 1013
Factors of 13136468140800
Divisors of 13136468140800
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 31 32 36 40 45 48 50 60 62 64 72 75 80 90 93 96 100 120 124 128 144 150 155 160 180 186 192 200 225 240 248 256 279 288 300 310 320 360 372 384 400 450 465 480 496 558 576 600 620 640 720 744 768 775 800 900 930 960 992 1116 1152 1200 1240 1280 1395 1440 1488 1550 1600 1613 1800 1860 1920 1984 2232 2304 2325 2400 2480 2790 2880 2976 3100 3200 3226 3600 3720 3840 3968 4464 4561 4650 4800 4839 4960 5580 5760 5952 6200 6400 6452 6975 7200 7440 7936 8065 8928 9122 9300 9600 9678 9920 11160 11520 11904 12400 12904 13683 13950 14400 14517 14880 16130 17856 18244 18600 19200 19356 19840 22320 22805 23808 24195 24800 25808 27366 27900 28800 29034 29760 32260 35712 36488 37200 38712 39680 40325 41049 44640 45610 48390 49600 50003 51616 54732 55800 57600 58068 59520 64520 68415 71424 72585 72976 74400 77424 80650 82098 89280 91220 96780 99200 100006 103232 109464 111600 114025 116136 119040 120975 129040 136830 141391 145170 145952 148800 150009 154848 161300 164196 178560 182440 193560 198400 200012 205245 206464 218928 223200 228050 232272 241950 250015 258080 273660 282782 290340 291904 297600 300018 309696 322600 328392 342075 357120 362925 364880 387120 400024 410490 412928 424173 437856 446400 450027 456100 464544 483900 500030 516160 547320 565564 580680 583808 595200 600036 619392 645200 656784 684150 706955 725850 729760 750045 774240 800048 820980 848346 875712 892800 900054 912200 929088 967800 1000060 1026225 1032320 1094640 1131128 1161360 1167616 1200072 1238784 1250075 1272519 1290400 1313568 1368300 1413910 1451700 1459520 1500090 1548480 1600096 1641960 1696692 1751424 1785600 1800108 1824400 1858176 1935600 2000120 2052450 2064640 2120865 2189280 2250135 2262256 2322720 2400144 2500150 2545038 2580800 2627136 2736600 2827820 2903400 2919040 3000180 3096960 3200192 3283920 3393384 3502848 3534775 3600216 3648800 3716352 3750225 3871200 4000240 4104900 4241730 4378560 4500270 4524512 4645440 4800288 5000300 5090076 5161600 5254272 5473200 5655640 5806800 5838080 6000360 6193920 6362595 6400384 6567840 6786768 7069550 7200432 7297600 7356893 7500450 7742400 8000480 8209800 8483460 8757120 9000540 9049024 9290880 9600576 10000600 10180152 10323200 10508544 10604325 10946400 11250675 11311280 11613600 12000720 12725190 12800768 13135680 13573536 14139100 14400864 14595200 14713786 15000900 15484800 16000960 16419600 16966920 17514240 18001080 18098048 18581760 19201152 20001200 20360304 21208650 21892800 22070679 22501350 22622560 23227200 24001440 25450380 26271360 27147072 28278200 28801728 29190400 29427572 30001800 30969600 31812975 32001920 32839200 33933840 36002160 36196096 36784465 38402304 40002400 40720608 42417300 43785600 44141358 45002700 45245120 46454400 48002880 50900760 52542720 54294144 56556400 57603456 58855144 60003600 63625950 64003840 65678400 66212037 67867680 72004320 73568930 80004800 81441216 84834600 87571200 88282716 90005400 90490240 92908800 96005760 101801520 108588288 110353395 113112800 115206912 117710288 120007200 127251900 131356800 132424074 135735360 144008640 147137860 160009600 162882432 169669200 176565432 180010800 180980480 183922325 192011520 203603040 220706790 226225600 228063683 235420576 240014400 254503800 262713600 264848148 271470720 288017280 294275720 320019200 325764864 331060185 339338400 353130864 360021600 367844650 407206080 441413580 452451200 456127366 470841152 480028800 509007600 529696296 542941440 551766975 576034560 588551440 662120370 678676800 684191049 706261728 720043200 735689300 814412160 882827160 904902400 912254732 941682304 960057600 1018015200 1059392592 1103533950 1140318415 1177102880 1324240740 1357353600 1368382098 1412523456 1440086400 1471378600 1628824320 1655300925 1765654320 1824509464 1883364608 2036030400 2052573147 2118785184 2207067900 2280636830 2354205760 2648481480 2714707200 2736764196 2825046912 2880172800 2942757200 3310601850 3420955245 3531308640 3649018928 4072060800 4105146294 4237570368 4414135800 4561273660 4708411520 5296962960 5473528392 5650093824 5701592075 5885514400 6621203700 6841910490 7062617280 7298037856 8144121600 8210292588 8475140736 8828271600 9122547320 9416823040 10262865735 10593925920 10947056784 11403184150 11771028800 13242407400 13683820980 14125234560 14596075712 16420585176 16950281472 17104776225 17656543200 18245094640 20525731470 21187851840 21894113568 22806368300 23542057600 26484814800 27367641960 28250469120 29192151424 32841170352 34209552450 35313086400 36490189280 41051462940 42375703680 43788227136 45612736600 47084115200 51314328675 52969629600 54735283920 58384302848 65682340704 68419104900 70626172800 72980378560 82102925880 84751407360 87576454272 91225473200 102628657350 105939259200 109470567840 131364681408 136838209800 141252345600 145960757120 164205851760 175152908544 182450946400 205257314700 211878518400 218941135680 262729362816 273676419600 291921514240 328411703520 364901892800 410514629400 423757036800 437882271360 525458725632 547352839200 656823407040 729803785600 821029258800 875764542720 1094705678400 1313646814080 1459607571200 1642058517600 2189411356800 2627293628160 3284117035200 4378822713600 6568234070400 13136468140800
- Sum of all divisors σ(n): 48521557838208
- Sum of proper divisors (its aliquot sum) s(n): 35385089697408
- 13136468140800 is an abundant number, because the sum of its proper divisors (35385089697408) is greater than itself. Its abundance is 22248621556608
Bases of 13136468140800
- Binary: 101111110010100100101000010001100011000000002
- Hexadecimal: 0xBF292846300
- Base-36: 4NMT5YGW0
Squares and roots of 13136468140800
- 13136468140800 squared (131364681408002) is 172566795214253408624640000
- 13136468140800 cubed (131364681408003) is 2266918207491997812455387305869312000000
-
The
square root of 13136468140800 is 3624426.5947595077 -
The
cube root of 13136468140800 is 23595.3381464937
Scales and comparisons
How big is 13136468140800?- 13,136,468,140,800 seconds is equal to 417,699 years, 2 weeks, 5 days, 8 hours.
-
To count from 1 to 13,136,468,140,800 would take you about one million, forty-four thousand, two hundred forty-seven 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 13136468140800 cubic inches would be around 1966.3 feet tall.
Recreational maths with 13136468140800
- 13136468140800 backwards is 00804186463131
- 13136468140800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13136468140800'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 13136468140800 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 13136468140800 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/13136468140800/
Chicago style:
Numbermatics. 2024. "Number 13136468140800 - Facts about the integer". https://numbermatics.com/n/13136468140800/
The information we have on file for 13136468140800 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 13136468140800, math, Factors of 13136468140800, curriculum, school, college, exams, university, Prime factorization of 13136468140800, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, one hundred thirty-six billion, four hundred sixty-eight million, one hundred forty thousand, eight hundred.