13328642709460845
13,328,642,709,460,845 is an odd composite number composed of six prime numbers multiplied together.
What does the number 13328642709460845 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
13328642709460845 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 13328642709460845:
36 × 5 × 133 × 192 × 37 × 3532
(3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 13 × 19 × 19 × 37 × 353 × 353)See below for interesting mathematical facts about the number 13328642709460845 from the Numbermatics database.
Names of 13328642709460845
- Cardinal: 13328642709460845 can be written as Thirteen quadrillion, three hundred twenty-eight trillion, six hundred forty-two billion, seven hundred nine million, four hundred sixty thousand, eight hundred forty-five.
Scientific notation
- Scientific notation: 1.3328642709460845 × 1016
Factors of 13328642709460845
Divisors of 13328642709460845
- Number of divisors d(n): 1008
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Complete list of divisors:
1 3 5 9 13 15 19 27 37 39 45 57 65 81 95 111 117 135 169 171 185 195 243 247 285 333 351 353 361 405 481 507 513 555 585 703 729 741 845 855 999 1053 1059 1083 1215 1235 1443 1521 1539 1665 1755 1765 1805 2109 2197 2223 2405 2535 2565 2997 3159 3177 3211 3249 3515 3645 3705 4329 4563 4589 4617 4693 4995 5265 5295 5415 6253 6327 6591 6669 6707 7215 7605 7695 8991 9139 9477 9531 9633 9747 10545 10985 11115 12987 13061 13357 13689 13767 13851 14079 14985 15795 15885 16055 16245 18759 18981 19773 20007 20121 21645 22815 22945 23085 23465 26973 27417 28593 28899 29241 31265 31635 32955 33345 33535 38961 39183 40071 41067 41301 41743 42237 44955 45695 47385 47655 48165 48735 56277 56943 59319 59657 60021 60363 61009 64935 65305 66785 68445 68835 69255 70395 81289 82251 85779 86697 87191 87723 93795 94905 98865 100035 100605 116883 117549 118807 120213 123201 123903 124609 125229 126711 127433 134865 137085 142965 144495 146205 168831 169793 170829 173641 177957 178971 180063 181089 183027 194805 195915 200355 205335 206505 208715 211185 243867 246753 248159 257337 260091 261573 263169 281385 284715 296595 298285 300105 301815 305045 350649 352647 356421 360639 371709 373827 375687 380133 382299 406445 411255 428895 433485 435955 438615 506493 509379 512487 520923 533871 536913 543267 549081 584415 587745 594035 601065 616005 619515 623045 626145 633555 637165 731601 740259 744477 775541 780273 784719 793117 844155 848965 854145 868205 889785 894855 900315 905445 915135 1057941 1069263 1081917 1115127 1121481 1127061 1133483 1140399 1146897 1219335 1233765 1240795 1286685 1300455 1307865 1315845 1519479 1528137 1544491 1562769 1601613 1610739 1619917 1629801 1647243 1656629 1753245 1763235 1782105 1803195 1858545 1869135 1878435 1900665 1911495 2194803 2207309 2220777 2233431 2257333 2326623 2340819 2354157 2367571 2379351 2532465 2546895 2562435 2604615 2669355 2684565 2716335 2745405 3173823 3207789 3226067 3245751 3345381 3364443 3381183 3400449 3421197 3440691 3658005 3701295 3722385 3877705 3901365 3923595 3965585 4558437 4584411 4610533 4633473 4688307 4715021 4832217 4859751 4889403 4941729 4969887 5289705 5346315 5409585 5575635 5607405 5635305 5667415 5701995 5734485 6584409 6621927 6662331 6700293 6771999 6979869 7062471 7102713 7138053 7597395 7640685 7722455 7813845 8008065 8053695 8099585 8149005 8236215 8283145 9521469 9623367 9678201 9737253 10093329 10143549 10201347 10322073 10974015 11036545 11103885 11167155 11286665 11633115 11704095 11770785 11837855 11896755 13753233 13831599 13900419 14064921 14145063 14496651 14579253 14735279 14825187 14909661 15869115 16038945 16130335 16228755 16726905 16822215 16905915 17002245 17105985 17203455 19753227 19865781 20100879 20315997 20939607 21058921 21187413 21308139 21414159 21536177 22792185 22922055 23052665 23167365 23441535 23575105 24161085 24298755 24447015 24708645 24849435 28695017 28870101 29034603 29345329 30279987 30430647 30604041 30778423 30966219 32922045 33109635 33311655 33501465 33859995 34899345 35312355 35513565 35690265 41259699 41494797 41701257 41938871 42194763 42435189 43489953 43737759 44205837 44475561 44728983 44983849 47607345 48116835 48391005 48686265 50466645 50717745 51006735 51610365 59259681 59597343 59936929 60302637 60947991 61295273 62818821 63176763 63562239 63924417 64242477 64608531 68766165 69157995 69502095 70324605 70725315 72483255 72896265 73676395 74125935 74548305 86085051 86610303 87103809 87600127 88035987 90839961 91812123 92335269 92898657 98766135 99328905 100504395 101579985 104698035 105294605 105937065 106540695 107070795 107680885 123779097 124484391 125103771 125816613 126584289 127305567 131213277 132617511 134186949 134951547 143475085 144350505 145173015 146726645 151399935 152153235 153020205 153892115 154831095 178792029 179810787 180907911 182843973 183885819 188456463 189530289 191773251 192727431 193825593 206298495 207473985 208506285 209694355 210973815 212175945 217449765 218688795 221029185 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494147581265 568022276133 577372437057 580895302221 584205246963 615783908961 662424467445 666198965835 674082977265 702209720745 710519894955 820476621081 830186403579 839070992097 843852023391 889465646277 946703793555 962287395095 968158837035 973675411605 997876971585 1020491747145 1026306514935 1199158138503 1213349359077 1263977497341 1367461035135 1383644005965 1398451653495 1406420038985 1458435573855 1482442743795 1732117311171 1752615740889 1847351726883 1987273402335 1998596897505 2022248931795 2106629162235 2131559684865 2461429863243 2517212976291 2531556070173 2668396938831 2840111380665 2886862185285 2904476511105 2921026234815 3078919544805 3597474415509 3656692101361 3791932492023 4102383105405 4150932017895 4195354960485 4219260116955 4447328231385 5196351933513 5257847222667 5542055180649 5995790692515 6066746795385 6319887486705 7384289589729 7551638928873 7594668210519 8005190816493 8660586555855 8763078704445 9236758634415 10792423246527 10970076304083 12307149316215 12586064881455 12657780350865 13341984694155 15589055800539 15773541668001 17987372077545 18283460506805 18959662460115 22784004631557 24015572449479 25981759667565 26289236113335 27710275903245 32910228912249 36921447948645 37758194644365 37973341052595 40025954082465 46767167401617 53962116232635 54850381520415 68352013894671 72046717348437 77945279002695 78867708340005 98730686736747 113920023157785 120077862247395 140301502204851 164551144561245 205056041684013 233835837008085 296192060210241 341760069473355 360233586742185 493653433683735 701507511024255 888576180630723 1025280208420065 1480960301051205 2665728541892169 4442880903153615 13328642709460845
- Sum of all divisors σ(n): 28238289381484560
- Sum of proper divisors (its aliquot sum) s(n): 14909646672023715
- 13328642709460845 is an abundant number, because the sum of its proper divisors (14909646672023715) is greater than itself. Its abundance is 1581003962562870
Bases of 13328642709460845
- Binary: 1011110101101001010100011101100000100100010111011011012
- Hexadecimal: 0x2F5A547609176D
- Base-36: 3N8LXXHUTT9
Squares and roots of 13328642709460845
- 13328642709460845 squared (133286427094608452) is 177652716476463735379670588114025
- 13328642709460845 cubed (133286427094608453) is 2367869584279932902795747661218785669073132851125
-
The
square root of 13328642709460845 is 115449741.0541091037 -
The
cube root of 13328642709460845 is 237098.4102901823
Scales and comparisons
How big is 13328642709460845?- 13,328,642,709,460,845 seconds is equal to 423,809,609 years, 50 weeks, 4 hours, 45 seconds.
-
To count from 1 to 13,328,642,709,460,845 would take you about one billion, two hundred seventy-one million, four hundred twenty-eight thousand, eight hundred twenty-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 13328642709460845 cubic inches would be around 19758.2 feet tall.
Recreational maths with 13328642709460845
- 13328642709460845 backwards is 54806490724682331
- The number of decimal digits it has is: 17
- The sum of 13328642709460845's digits is 72
- More coming soon!
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The information we have on file for 13328642709460845 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!
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