13972332840749375552640000
13,972,332,840,749,375,552,640,000 is an even composite number composed of five prime numbers multiplied together.
13972332840749375552640000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred sixty divisors.
Prime factorization of 13972332840749375552640000:
210 × 32 × 54 × 86711 × 27975138440299
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 86711 × 27975138440299)See below for interesting mathematical facts about the number 13972332840749375552640000 from the Numbermatics database.
Names of 13972332840749375552640000
- Cardinal: 13972332840749375552640000 can be written as Thirteen septillion, nine hundred seventy-two sextillion, three hundred thirty-two quintillion, eight hundred forty quadrillion, seven hundred forty-nine trillion, three hundred seventy-five billion, five hundred fifty-two million, six hundred forty thousand.
Scientific notation
- Scientific notation: 1.397233284074937555264 × 1025
Factors of 13972332840749375552640000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 27975138527020
Divisors of 13972332840749375552640000
- Number of divisors d(n): 660
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 128 144 150 160 180 192 200 225 240 250 256 288 300 320 360 375 384 400 450 480 500 512 576 600 625 640 720 750 768 800 900 960 1000 1024 1125 1152 1200 1250 1280 1440 1500 1536 1600 1800 1875 1920 2000 2250 2304 2400 2500 2560 2880 3000 3072 3200 3600 3750 3840 4000 4500 4608 4800 5000 5120 5625 5760 6000 6400 7200 7500 7680 8000 9000 9216 9600 10000 11250 11520 12000 12800 14400 15000 15360 16000 18000 19200 20000 22500 23040 24000 25600 28800 30000 32000 36000 38400 40000 45000 46080 48000 57600 60000 64000 72000 76800 80000 86711 90000 96000 115200 120000 128000 144000 160000 173422 180000 192000 230400 240000 260133 288000 320000 346844 360000 384000 433555 480000 520266 576000 640000 693688 720000 780399 867110 960000 1040532 1152000 1300665 1387376 1440000 1560798 1734220 1920000 2081064 2167775 2601330 2774752 2880000 3121596 3468440 3901995 4162128 4335550 5202660 5549504 5760000 6243192 6503325 6936880 7803990 8324256 8671100 10405320 10838875 11099008 12486384 13006650 13873760 15607980 16648512 17342200 19509975 20810640 21677750 22198016 24972768 26013300 27747520 31215960 32516625 33297024 34684400 39019950 41621280 43355500 44396032 49945536 52026600 54194375 55495040 62431920 65033250 66594048 69368800 78039900 83242560 86711000 88792064 97549875 99891072 104053200 108388750 110990080 124863840 130066500 133188096 138737600 156079800 162583125 166485120 173422000 195099750 199782144 208106400 216777500 221980160 249727680 260133000 266376192 277475200 312159600 325166250 332970240 346844000 390199500 399564288 416212800 433555000 443960320 487749375 499455360 520266000 554950400 624319200 650332500 665940480 693688000 780399000 799128576 832425600 867110000 975498750 998910720 1040532000 1109900800 1248638400 1300665000 1331880960 1387376000 1560798000 1664851200 1734220000 1950997500 1997821440 2081064000 2219801600 2497276800 2601330000 2774752000 3121596000 3329702400 3468440000 3901995000 3995642880 4162128000 4994553600 5202660000 5549504000 6243192000 6659404800 6936880000 7803990000 8324256000 9989107200 10405320000 11099008000 12486384000 13873760000 15607980000 16648512000 19978214400 20810640000 24972768000 27747520000 31215960000 33297024000 41621280000 49945536000 55495040000 62431920000 83242560000 99891072000 124863840000 166485120000 249727680000 499455360000 27975138440299 55950276880598 83925415320897 111900553761196 139875692201495 167850830641794 223801107522392 251776245962691 279751384402990 335701661283588 419627076604485 447602215044784 503552491925382 559502768805980 671403322567176 699378461007475 839254153208970 895204430089568 1007104983850764 1119005537611960 1258881229813455 1342806645134352 1398756922014950 1678508306417940 1790408860179136 2014209967701528 2098135383022425 2238011075223920 2517762459626910 2685613290268704 2797513844029900 3357016612835880 3496892305037375 3580817720358272 4028419935403056 4196270766044850 4476022150447840 5035524919253820 5371226580537408 5595027688059800 6294406149067275 6714033225671760 6993784610074750 7161635440716544 8056839870806112 8392541532089700 8952044300895680 10071049838507640 10490676915112125 10742453161074816 11190055376119600 12588812298134550 13428066451343520 13987569220149500 14323270881433088 16113679741612224 16785083064179400 17484461525186875 17904088601791360 20142099677015280 20981353830224250 21484906322149632 22380110752239200 25177624596269100 26856132902687040 27975138440299000 28646541762866176 31472030745336375 32227359483224448 33570166128358800 34968923050373750 35808177203582720 40284199354030560 41962707660448500 42969812644299264 44760221504478400 50355249192538200 52453384575560625 53712265805374080 55950276880598000 62944061490672750 64454718966448896 67140332256717600 69937846100747500 71616354407165440 80568398708061120 83925415320897000 85939625288598528 89520443008956800 100710498385076400 104906769151121250 107424531610748160 111900553761196000 125888122981345500 128909437932897792 134280664513435200 139875692201495000 143232708814330880 157360153726681875 161136797416122240 167850830641794000 179040886017913600 201420996770152800 209813538302242500 214849063221496320 223801107522392000 251776245962691000 257818875865795584 268561329026870400 279751384402990000 314720307453363750 322273594832244480 335701661283588000 358081772035827200 402841993540305600 419627076604485000 429698126442992640 447602215044784000 503552491925382000 537122658053740800 559502768805980000 629440614906727500 644547189664488960 671403322567176000 716163544071654400 805683987080611200 839254153208970000 895204430089568000 1007104983850764000 1074245316107481600 1119005537611960000 1258881229813455000 1289094379328977920 1342806645134352000 1611367974161222400 1678508306417940000 1790408860179136000 2014209967701528000 2148490632214963200 2238011075223920000 2425752229296766589 2517762459626910000 2685613290268704000 3222735948322444800 3357016612835880000 3580817720358272000 4028419935403056000 4476022150447840000 4851504458593533178 5035524919253820000 5371226580537408000 6445471896644889600 6714033225671760000 7277256687890299767 8056839870806112000 8952044300895680000 9703008917187066356 10071049838507640000 10742453161074816000 12128761146483832945 13428066451343520000 14554513375780599534 16113679741612224000 17904088601791360000 19406017834374132712 20142099677015280000 21831770063670899301 24257522292967665890 26856132902687040000 29109026751561199068 32227359483224448000 36386283439451498835 38812035668748265424 40284199354030560000 43663540127341798602 48515044585935331780 53712265805374080000 58218053503122398136 60643805732419164725 72772566878902997670 77624071337496530848 80568398708061120000 87327080254683597204 97030089171870663560 109158850318354496505 116436107006244796272 121287611464838329450 145545133757805995340 155248142674993061696 161136797416122240000 174654160509367194408 181931417197257494175 194060178343741327120 218317700636708993010 232872214012489592544 242575222929676658900 291090267515611990680 303219028662095823625 310496285349986123392 349308321018734388816 363862834394514988350 388120356687482654240 436635401273417986020 465744428024979185088 485150445859353317800 545794251591772482525 582180535031223981360 606438057324191647250 620992570699972246784 698616642037468777632 727725668789029976700 776240713374965308480 873270802546835972040 909657085986287470875 931488856049958370176 970300891718706635600 1091588503183544965050 1164361070062447962720 1212876114648383294500 1241985141399944493568 1397233284074937555264 1455451337578059953400 1516095143310479118125 1552481426749930616960 1746541605093671944080 1819314171972574941750 1862977712099916740352 1940601783437413271200 2183177006367089930100 2328722140124895925440 2425752229296766589000 2483970282799888987136 2728971257958862412625 2794466568149875110528 2910902675156119906800 3032190286620958236250 3104962853499861233920 3493083210187343888160 3638628343945149883500 3725955424199833480704 3881203566874826542400 4366354012734179860200 4548285429931437354375 4657444280249791850880 4851504458593533178000 5457942515917724825250 5588933136299750221056 5821805350312239813600 6064380573241916472500 6209925706999722467840 6986166420374687776320 7277256687890299767000 7451910848399666961408 7762407133749653084800 8732708025468359720400 9096570859862874708750 9314888560499583701760 9703008917187066356000 10915885031835449650500 11177866272599500442112 11643610700624479627200 12128761146483832945000 12419851413999444935680 13644856289794312063125 13972332840749375552640 14554513375780599534000 15524814267499306169600 17465416050936719440800 18193141719725749417500 18629777120999167403520 19406017834374132712000 21831770063670899301000 22355732545199000884224 23287221401248959254400 24257522292967665890000 27289712579588624126250 27944665681498751105280 29109026751561199068000 31049628534998612339200 34930832101873438881600 36386283439451498835000 37259554241998334807040 38812035668748265424000 43663540127341798602000 46574442802497918508800 48515044585935331780000 54579425159177248252500 55889331362997502210560 58218053503122398136000 62099257069997224678400 69861664203746877763200 72772566878902997670000 77624071337496530848000 87327080254683597204000 93148885604995837017600 97030089171870663560000 109158850318354496505000 111778662725995004421120 116436107006244796272000 139723328407493755526400 145545133757805995340000 155248142674993061696000 174654160509367194408000 186297771209991674035200 194060178343741327120000 218317700636708993010000 232872214012489592544000 279446656814987511052800 291090267515611990680000 310496285349986123392000 349308321018734388816000 388120356687482654240000 436635401273417986020000 465744428024979185088000 558893313629975022105600 582180535031223981360000 698616642037468777632000 776240713374965308480000 873270802546835972040000 931488856049958370176000 1164361070062447962720000 1397233284074937555264000 1552481426749930616960000 1746541605093671944080000 2328722140124895925440000 2794466568149875110528000 3493083210187343888160000 4657444280249791850880000 6986166420374687776320000 13972332840749375552640000
- Sum of all divisors σ(n): 50415453312797754029877600
- Sum of proper divisors (its aliquot sum) s(n): 36443120472048378477237600
- 13972332840749375552640000 is an abundant number, because the sum of its proper divisors (36443120472048378477237600) is greater than itself. Its abundance is 22470787631299002924597600
Bases of 13972332840749375552640000
- Binary: 1011100011101100000110101110010110000001010101110001110011010010001001010100000000002
- Hexadecimal: 0xB8EC1AE581571CD225400
- Base-36: 1R79WIJ47N3TDSZK0
Squares and roots of 13972332840749375552640000
- 13972332840749375552640000 squared (139723328407493755526400002) is 195226085012683514887851605114094505410969600000000
- 13972332840749375552640000 cubed (139723328407493755526400003) is 2727763838993647346940281229560876069021933858567196814318239744000000000000
-
The
square root of 13972332840749375552640000 is 3737958378680.7171393519 -
The
cube root of 13972332840749375552640000 is 240855355.5503375725
Scales and comparisons
How big is 13972332840749375552640000?- 13,972,332,840,749,375,552,640,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,972,332,840,749,375,552,640,000 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 13972332840749375552640000 cubic inches would be around 20071279.6 feet tall.
Recreational maths with 13972332840749375552640000
- 13972332840749375552640000 backwards is 00004625557394704823327931
- The number of decimal digits it has is: 26
- The sum of 13972332840749375552640000's digits is 99
- More coming soon!
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The information we have on file for 13972332840749375552640000 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 13972332840749375552640000, math, Factors of 13972332840749375552640000, curriculum, school, college, exams, university, Prime factorization of 13972332840749375552640000, STEM, science, technology, engineering, physics, economics, calculator, thirteen septillion, nine hundred seventy-two sextillion, three hundred thirty-two quintillion, eight hundred forty quadrillion, seven hundred forty-nine trillion, three hundred seventy-five billion, five hundred fifty-two million, six hundred forty thousand.