135458818427839200
135,458,818,427,839,200 is an even composite number composed of six prime numbers multiplied together.
135458818427839200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 135458818427839200:
25 × 3 × 52 × 72 × 41 × 28094163437
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 41 × 28094163437)See below for interesting mathematical facts about the number 135458818427839200 from the Numbermatics database.
Names of 135458818427839200
- Cardinal: 135458818427839200 can be written as One hundred thirty-five quadrillion, four hundred fifty-eight trillion, eight hundred eighteen billion, four hundred twenty-seven million, eight hundred thirty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.354588184278392 × 1017
Factors of 135458818427839200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 28094163495
Divisors of 135458818427839200
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 41 42 48 49 50 56 60 70 75 80 82 84 96 98 100 105 112 120 123 140 147 150 160 164 168 175 196 200 205 210 224 240 245 246 280 287 294 300 328 336 350 392 400 410 420 480 490 492 525 560 574 588 600 615 656 672 700 735 784 800 820 840 861 980 984 1025 1050 1120 1148 1176 1200 1225 1230 1312 1400 1435 1470 1568 1640 1680 1722 1960 1968 2009 2050 2100 2296 2352 2400 2450 2460 2800 2870 2940 3075 3280 3360 3444 3675 3920 3936 4018 4100 4200 4305 4592 4704 4900 4920 5600 5740 5880 6027 6150 6560 6888 7175 7350 7840 8036 8200 8400 8610 9184 9800 9840 10045 11480 11760 12054 12300 13776 14350 14700 16072 16400 16800 17220 19600 19680 20090 21525 22960 23520 24108 24600 27552 28700 29400 30135 32144 32800 34440 39200 40180 43050 45920 48216 49200 50225 57400 58800 60270 64288 68880 80360 86100 96432 98400 100450 114800 117600 120540 137760 150675 160720 172200 192864 200900 229600 241080 301350 321440 344400 401800 482160 602700 688800 803600 964320 1205400 1607200 2410800 4821600 28094163437 56188326874 84282490311 112376653748 140470817185 168564980622 196659144059 224753307496 280941634370 337129961244 393318288118 421412451555 449506614992 561883268740 589977432177 674259922488 702354085925 786636576236 842824903110 899013229984 983295720295 1123766537480 1151860700917 1179954864354 1348519844976 1376614008413 1404708171850 1573273152472 1685649806220 1966591440590 2107062257775 2247533074960 2303721401834 2359909728708 2697039689952 2753228016826 2809416343700 2949887160885 3146546304944 3371299612440 3455582102751 3933182881180 4129842025239 4214124515550 4495066149920 4607442803668 4719819457416 4916478601475 5506456033652 5618832687400 5759303504585 5899774321770 6293092609888 6742599224880 6883070042065 6911164205502 7866365762360 8063024906419 8259684050478 8428249031100 9214885607336 9439638914832 9832957202950 11012912067304 11237665374800 11518607009170 11799548643540 13485198449760 13766140084130 13822328411004 14749435804425 15732731524720 16126049812838 16519368100956 16856498062200 17277910513755 18429771214672 18879277829664 19665914405900 20649210126195 22025824134608 22475330749600 23037214018340 23599097287080 24189074719257 27532280168260 27644656822008 28796517522925 29498871608850 31465463049440 32252099625676 33038736201912 33712996124400 34415350210325 34555821027510 36859542429344 39331828811800 40315124532095 41298420252390 44051648269216 46074428036680 47198194574160 48378149438514 55064560336520 55289313644016 56441174344933 57593035045850 58997743217700 64504199251352 66077472403824 67425992248800 68830700420650 69111642055020 78663657623600 80630249064190 82596840504780 86389552568775 92148856073360 94396389148320 96756298877028 103246050630975 110129120673040 110578627288032 112882348689866 115186070091700 117995486435400 120945373596285 129008398502704 132154944807648 137661400841300 138223284110040 157327315247200 161260498128380 165193681009560 169323523034799 172779105137550 184297712146720 193512597754056 201575622660475 206492101261950 220258241346080 225764697379732 230372140183400 235990972870800 241890747192570 258016797005408 275322801682600 276446568220080 282205871724665 322520996256760 330387362019120 338647046069598 345558210275100 387025195508112 403151245320950 412984202523900 451529394759464 460744280366800 471981945741600 483781494385140 550645603365200 552893136440160 564411743449330 604726867981425 645041992513520 660774724038240 677294092139196 691116420550200 774050391016224 806302490641900 825968405047800 846617615173995 903058789518928 921488560733600 967562988770280 1101291206730400 1128823486898660 1209453735962850 1290083985027040 1354588184278392 1382232841100400 1411029358623325 1612604981283800 1651936810095600 1693235230347990 1806117579037856 1935125977540560 2257646973797320 2418907471925700 2709176368556784 2764465682200800 2822058717246650 3225209962567600 3303873620191200 3386470460695980 3870251955081120 4233088075869975 4515293947594640 4837814943851400 5418352737113568 5644117434493300 6450419925135200 6772940921391960 8466176151739950 9030587895189280 9675629887702800 11288234868986600 13545881842783920 16932352303479900 19351259775405600 22576469737973200 27091763685567840 33864704606959800 45152939475946400 67729409213919600 135458818427839200
- Sum of all divisors σ(n): 525415021837708464
- Sum of proper divisors (its aliquot sum) s(n): 389956203409869264
- 135458818427839200 is an abundant number, because the sum of its proper divisors (389956203409869264) is greater than itself. Its abundance is 254497384982030064
Bases of 135458818427839200
- Binary: 1111000010011111100010011111000100001010111100010111000002
- Hexadecimal: 0x1E13F13E215E2E0
- Base-36: 111S563SVXEO
Squares and roots of 135458818427839200
- 135458818427839200 squared (1354588184278392002) is 18349091489866308835177581056640000
- 135458818427839200 cubed (1354588184278392003) is 2485546252441609796587321629026953588728012288000000
-
The
square root of 135458818427839200 is 368047304.6061323895 -
The
cube root of 135458818427839200 is 513573.2886875057
Scales and comparisons
How big is 135458818427839200?- 135,458,818,427,839,200 seconds is equal to 4,307,171,424 years, 19 weeks, 1 day, 8 hours, 40 minutes.
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To count from 1 to 135,458,818,427,839,200 would take you about twelve billion, nine hundred twenty-one million, five hundred fourteen thousand, two hundred seventy-three 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 135458818427839200 cubic inches would be around 42797.8 feet tall.
Recreational maths with 135458818427839200
- 135458818427839200 backwards is 002938724818854531
- The number of decimal digits it has is: 18
- The sum of 135458818427839200's digits is 78
- More coming soon!
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