13745398114652967000
13,745,398,114,652,967,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13745398114652967000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 640 divisors.
13745398114652967000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 13745398114652967000:
23 × 34 × 53 × 7 × 1559 × 15549919639
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 1559 × 15549919639)See below for interesting mathematical facts about the number 13745398114652967000 from the Numbermatics database.
Names of 13745398114652967000
- Cardinal: 13745398114652967000 can be written as Thirteen quintillion, seven hundred forty-five quadrillion, three hundred ninety-eight trillion, one hundred fourteen billion, six hundred fifty-two million, nine hundred sixty-seven thousand.
Scientific notation
- Scientific notation: 1.3745398114652967 × 1019
Factors of 13745398114652967000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 15549921215
Divisors of 13745398114652967000
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 25 27 28 30 35 36 40 42 45 50 54 56 60 63 70 72 75 81 84 90 100 105 108 120 125 126 135 140 150 162 168 175 180 189 200 210 216 225 250 252 270 280 300 315 324 350 360 375 378 405 420 450 500 504 525 540 567 600 630 648 675 700 750 756 810 840 875 900 945 1000 1050 1080 1125 1134 1260 1350 1400 1500 1512 1559 1575 1620 1750 1800 1890 2025 2100 2250 2268 2520 2625 2700 2835 3000 3118 3150 3240 3375 3500 3780 4050 4200 4500 4536 4677 4725 5250 5400 5670 6236 6300 6750 7000 7560 7795 7875 8100 9000 9354 9450 10125 10500 10913 11340 12472 12600 13500 14031 14175 15590 15750 16200 18708 18900 20250 21000 21826 22680 23385 23625 27000 28062 28350 31180 31500 32739 37416 37800 38975 40500 42093 43652 46770 47250 54565 56124 56700 62360 63000 65478 70155 70875 77950 81000 84186 87304 93540 94500 98217 109130 112248 113400 116925 126279 130956 140310 141750 155900 163695 168372 187080 189000 194875 196434 210465 218260 233850 252558 261912 272825 280620 283500 294651 311800 327390 336744 350775 389750 392868 420930 436520 467700 491085 505116 545650 561240 567000 584625 589302 631395 654780 701550 779500 785736 818475 841860 883953 935400 982170 1010232 1052325 1091300 1169250 1178604 1262790 1309560 1364125 1403100 1473255 1559000 1636950 1683720 1753875 1767906 1964340 2104650 2182600 2338500 2357208 2455425 2525580 2728250 2806200 2946510 3156975 3273900 3507750 3535812 3928680 4092375 4209300 4419765 4677000 4910850 5051160 5261625 5456500 5893020 6313950 6547800 7015500 7071624 7366275 8184750 8418600 8839530 9821700 10523250 10913000 11786040 12277125 12627900 14031000 14732550 15784875 16369500 17679060 19643400 21046500 22098825 24554250 25255800 29465100 31569750 32739000 35358120 36831375 42093000 44197650 49108500 58930200 63139500 73662750 88395300 98217000 110494125 126279000 147325500 176790600 220988250 294651000 441976500 883953000 15549919639 31099839278 46649758917 62199678556 77749598195 93299517834 108849437473 124399357112 139949276751 155499196390 186599035668 217698874946 233248794585 279898553502 310998392780 326548312419 373198071336 388747990975 419847830253 435397749892 466497589170 544247187365 559797107004 621996785560 653096624838 699746383755 777495981950 839695660506 870795499784 932995178340 979644937257 1088494374730 1119594214008 1166243972925 1259543490759 1306193249676 1399492767510 1554991963900 1632741562095 1679391321012 1865990356680 1943739954875 1959289874514 2099239151265 2176988749460 2332487945850 2519086981518 2612386499352 2721235936825 2798985535020 2938934811771 3109983927800 3265483124190 3358782642024 3498731918775 3887479909750 3918579749028 4198478302530 4353977498920 4664975891700 4898224686285 5038173963036 5442471873650 5597971070040 5831219864625 5877869623542 6297717453795 6530966248380 6997463837550 7774959819500 7837159498056 8163707810475 8396956605060 8816804435313 9329951783400 9796449372570 10076347926072 10496195756325 10884943747300 11662439729250 11755739247084 12595434907590 13061932496760 13606179684125 13994927675100 14694674058855 15549919639000 16327415620950 16793913210120 17493659593875 17633608870626 19592898745140 20992391512650 21769887494600 23324879458500 23511478494168 24242324717201 24491123431425 25190869815180 27212359368250 27989855350200 29389348117710 31488587268975 32654831241900 34987319187750 35267217741252 39185797490280 40818539052375 41984783025300 44084022176565 46649758917000 48484649434402 48982246862850 50381739630360 52480978781625 54424718736500 58778696235420 62977174537950 65309662483800 69974638375500 70534435482504 72726974151603 73473370294275 81637078104750 83969566050600 88168044353130 96969298868804 97964493725700 104961957563250 108849437473000 117557392470840 121211623586005 122455617157125 125954349075900 139949276751000 145453948303206 146946740588550 157442936344875 163274156209500 169696273020407 176336088706260 193938597737608 195928987451400 209923915126500 218180922454809 220420110882825 242423247172010 244911234314250 251908698151800 290907896606412 293893481177100 314885872689750 326548312419000 339392546040814 352672177412520 363634870758015 367366851471375 419847830253000 436361844909618 440840221765650 484846494344020 489822468628500 509088819061221 581815793212824 587786962354200 606058117930025 629771745379500 654542767364427 678785092081628 727269741516030 734733702942750 848481365102035 872723689819236 881680443531300 969692988688040 979644937257000 1018177638122442 1090904612274045 1102100554414125 1212116235860050 1259543490759000 1309085534728854 1357570184163256 1454539483032060 1469467405885500 1527266457183663 1696962730204070 1745447379638472 1763360887062600 1818174353790075 1963628302093281 2036355276244884 2181809224548090 2204201108828250 2424232471720100 2545444095306105 2618171069457708 2909078966064120 2938934811771000 3030290589650125 3054532914367326 3272713836822135 3393925460408140 3636348707580150 3927256604186562 4072710552489768 4242406825510175 4363618449096180 4408402217656500 4581799371550989 4848464943440200 5090888190612210 5236342138915416 5454523061370225 6060581179300250 6109065828734652 6545427673644270 6787850920816280 7272697415160300 7636332285918315 7854513208373124 8484813651020350 8727236898192360 8816804435313000 9090871768950375 9163598743101978 9818141510466405 10181776381224420 10909046122740450 12121162358600500 12218131657469304 12727220476530525 13090855347288540 13745398114652967 14545394830320600 15272664571836630 15709026416746248 16363569184110675 16969627302040700 18181743537900750 18327197486203956 19636283020932810 20363552762448840 21212034127550875 21818092245480900 22908996857754945 24242324717201000 25454440953061050 26181710694577080 27272615306851125 27490796229305934 30545329143673260 32727138368221350 33939254604081400 36363487075801500 36654394972407912 38181661429591575 39272566041865620 42424068255101750 43636184490961800 45817993715509890 49090707552332025 50908881906122100 54545230613702250 54981592458611868 61090658287346520 63636102382652625 65454276736442700 68726990573264835 72726974151603000 76363322859183150 78545132083731240 81817845920553375 84848136510203500 91635987431019780 98181415104664050 101817763812244200 109090461227404500 109963184917223736 114544984288774725 127272204765305250 130908553472885400 137453981146529670 152726645718366300 163635691841106750 169696273020407000 183271974862039560 190908307147957875 196362830209328100 218180922454809000 229089968577549450 245453537761660125 254544409530610500 274907962293059340 305453291436732600 327271383682213500 343634952866324175 381816614295915750 392725660418656200 458179937155098900 490907075523320250 509088819061221000 549815924586118680 572724921443873625 654542767364427000 687269905732648350 763633228591831500 916359874310197800 981814151046640500 1145449842887747250 1374539811465296700 1527266457183663000 1718174764331620875 1963628302093281000 2290899685775494500 2749079622930593400 3436349528663241750 4581799371550989000 6872699057326483500 13745398114652967000
- Sum of all divisors σ(n): 54946997000932608000
- Sum of proper divisors (its aliquot sum) s(n): 41201598886279641000
- 13745398114652967000 is an abundant number, because the sum of its proper divisors (41201598886279641000) is greater than itself. Its abundance is 27456200771626674000
Bases of 13745398114652967000
- Binary: 10111110110000010111011011000010010100000011011011010000010110002
- Hexadecimal: 0xBEC176C25036D058
- Base-36: 2WFIOZ4IY19I0
Squares and roots of 13745398114652967000
- 13745398114652967000 squared (137453981146529670002) is 188935969330305339737034841903089000000
- 13745398114652967000 cubed (137453981146529670003) is 2597000116622909812951269458619080140987080315063000000000
-
The
square root of 13745398114652967000 is 3707478673.5263855055 -
The
cube root of 13745398114652967000 is 2395442.6312567553
Scales and comparisons
How big is 13745398114652967000?- 13,745,398,114,652,967,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 13,745,398,114,652,967,000 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 13745398114652967000 cubic inches would be around 199620.2 feet tall.
Recreational maths with 13745398114652967000
- 13745398114652967000 backwards is 00076925641189354731
- 13745398114652967000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13745398114652967000's digits is 81
- More coming soon!
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The information we have on file for 13745398114652967000 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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