13189335973971268800
13,189,335,973,971,268,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 13189335973971268800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 336 divisors.
13189335973971268800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 13189335973971268800:
26 × 3 × 52 × 13 × 19 × 11124608615023
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 19 × 11124608615023)See below for interesting mathematical facts about the number 13189335973971268800 from the Numbermatics database.
Names of 13189335973971268800
- Cardinal: 13189335973971268800 can be written as Thirteen quintillion, one hundred eighty-nine quadrillion, three hundred thirty-five trillion, nine hundred seventy-three billion, nine hundred seventy-one million, two hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.31893359739712688 × 1019
Factors of 13189335973971268800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 11124608615065
Divisors of 13189335973971268800
- Number of divisors d(n): 336
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 25 26 30 32 38 39 40 48 50 52 57 60 64 65 75 76 78 80 95 96 100 104 114 120 130 150 152 156 160 190 192 195 200 208 228 240 247 260 285 300 304 312 320 325 380 390 400 416 456 475 480 494 520 570 600 608 624 650 741 760 780 800 832 912 950 960 975 988 1040 1140 1200 1216 1235 1248 1300 1425 1482 1520 1560 1600 1824 1900 1950 1976 2080 2280 2400 2470 2496 2600 2850 2964 3040 3120 3648 3705 3800 3900 3952 4160 4560 4800 4940 5200 5700 5928 6080 6175 6240 7410 7600 7800 7904 9120 9880 10400 11400 11856 12350 12480 14820 15200 15600 15808 18240 18525 19760 20800 22800 23712 24700 29640 30400 31200 37050 39520 45600 47424 49400 59280 62400 74100 79040 91200 98800 118560 148200 197600 237120 296400 395200 592800 1185600 11124608615023 22249217230046 33373825845069 44498434460092 55623043075115 66747651690138 88996868920184 111246086150230 133495303380276 144619911995299 166869129225345 177993737840368 211367563685437 222492172300460 266990606760552 278115215375575 289239823990598 333738258450690 355987475680736 422735127370874 433859735985897 444984344600920 533981213521104 556230430751150 578479647981196 634102691056311 667476516901380 711974951361472 723099559976495 834345646126725 845470254741748 867719471971794 889968689201840 1056837818427185 1067962427042208 1112460861502300 1156959295962392 1268205382112622 1334953033802760 1446199119952990 1668691292253450 1690940509483496 1735438943943588 1779937378403680 2113675636854370 2135924854084416 2169298679929485 2224921723004600 2313918591924784 2536410764225244 2669906067605520 2747778327910681 2892398239905980 3170513455281555 3337382584506900 3381881018966992 3470877887887176 3559874756807360 3615497799882475 4227351273708740 4338597359858970 4449843446009200 4627837183849568 5072821528450488 5284189092135925 5339812135211040 5495556655821362 5784796479811960 6341026910563110 6674765169013800 6763762037933984 6941755775774352 7230995599764950 8243334983732043 8454702547417480 8677194719717940 8899686892018400 9255674367699136 10145643056900976 10568378184271850 10679624270422080 10846493399647425 10991113311642724 11569592959623920 12682053821126220 13349530338027600 13527524075867968 13738891639553405 13883511551548704 14461991199529900 15852567276407775 16486669967464086 16909405094834960 17354389439435880 17799373784036800 20291286113801952 21136756368543700 21692986799294850 21982226623285448 23139185919247840 25364107642252440 26699060676055200 27477783279106810 27767023103097408 28923982399059800 31705134552815550 32973339934928172 33818810189669920 34708778878871760 40582572227603904 41216674918660215 42273512737087400 43385973598589700 43964453246570896 46278371838495680 50728215284504880 53398121352110400 54955566558213620 57847964798119600 63410269105631100 65946679869856344 67637620379339840 68694458197767025 69417557757743520 82433349837320430 84547025474174800 86771947197179400 87928906493141792 101456430569009760 109911133116427240 115695929596239200 126820538211262200 131893359739712688 137388916395534050 138835115515487040 164866699674640860 169094050948349600 173543894394358800 175857812986283584 202912861138019520 206083374593301075 219822266232854480 231391859192478400 253641076422524400 263786719479425376 274777832791068100 329733399349281720 338188101896699200 347087788788717600 412166749186602150 439644532465708960 507282152845048800 527573438958850752 549555665582136200 659466798698563440 694175577577435200 824333498373204300 879289064931417920 1014564305690097600 1099111331164272400 1318933597397126880 1648666996746408600 2198222662328544800 2637867194794253760 3297333993492817200 4396445324657089600 6594667986985634400 13189335973971268800
- Sum of all divisors σ(n): 49053294211431426560
- Sum of proper divisors (its aliquot sum) s(n): 35863958237460157760
- 13189335973971268800 is an abundant number, because the sum of its proper divisors (35863958237460157760) is greater than itself. Its abundance is 22674622263488888960
Bases of 13189335973971268800
- Binary: 10110111000010011110111100110000001011111101011010010100110000002
- Hexadecimal: 0xB709EF302FD694C0
- Base-36: 2S7FHEBN75Z9C
Squares and roots of 13189335973971268800
- 13189335973971268800 squared (131893359739712688002) is 173958583434292637776528447881853440000
- 13189335973971268800 cubed (131893359739712688003) is 2294398202470998313816950681848028683845867452444672000000
-
The
square root of 13189335973971268800 is 3631712540.1071143697 -
The
cube root of 13189335973971268800 is 2362694.8994553433
Scales and comparisons
How big is 13189335973971268800?- 13,189,335,973,971,268,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,189,335,973,971,268,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13189335973971268800 cubic inches would be around 196891.2 feet tall.
Recreational maths with 13189335973971268800
- 13189335973971268800 backwards is 00886217937953398131
- The number of decimal digits it has is: 20
- The sum of 13189335973971268800's digits is 93
- 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 13189335973971268800 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 13189335973971268800 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/13189335973971268800/
Chicago style:
Numbermatics. 2024. "Number 13189335973971268800 - Facts about the integer". https://numbermatics.com/n/13189335973971268800/
The information we have on file for 13189335973971268800 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 13189335973971268800, math, Factors of 13189335973971268800, curriculum, school, college, exams, university, Prime factorization of 13189335973971268800, STEM, science, technology, engineering, physics, economics, calculator, thirteen quintillion, one hundred eighty-nine quadrillion, three hundred thirty-five trillion, nine hundred seventy-three billion, nine hundred seventy-one million, two hundred sixty-eight thousand, eight hundred.