48742346987751338863200
48,742,346,987,751,338,863,200 is an even composite number composed of six prime numbers multiplied together.
48742346987751338863200 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 48742346987751338863200:
25 × 32 × 52 × 7 × 584999 × 1653182414467
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 584999 × 1653182414467)See below for interesting mathematical facts about the number 48742346987751338863200 from the Numbermatics database.
Names of 48742346987751338863200
- Cardinal: 48742346987751338863200 can be written as Forty-eight sextillion, seven hundred forty-two quintillion, three hundred forty-six quadrillion, nine hundred eighty-seven trillion, seven hundred fifty-one billion, three hundred thirty-eight million, eight hundred sixty-three thousand, two hundred.
Scientific notation
- Scientific notation: 4.87423469877513388632 × 1022
Factors of 48742346987751338863200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 1653182999483
Divisors of 48742346987751338863200
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 70 72 75 80 84 90 96 100 105 112 120 126 140 144 150 160 168 175 180 200 210 224 225 240 252 280 288 300 315 336 350 360 400 420 450 480 504 525 560 600 630 672 700 720 800 840 900 1008 1050 1120 1200 1260 1400 1440 1575 1680 1800 2016 2100 2400 2520 2800 3150 3360 3600 4200 5040 5600 6300 7200 8400 10080 12600 16800 25200 50400 584999 1169998 1754997 2339996 2924995 3509994 4094993 4679992 5264991 5849990 7019988 8189986 8774985 9359984 10529982 11699980 12284979 14039976 14624975 16379972 17549970 18719968 20474965 21059964 23399960 24569958 26324955 28079952 29249950 32759944 35099940 36854937 40949930 42119928 43874925 46799920 49139916 52649910 56159904 58499900 61424895 65519888 70199880 73709874 81899860 84239856 87749850 93599840 98279832 102374825 105299820 116999800 122849790 131039776 131624775 140399760 147419748 163799720 168479712 175499700 184274685 196559664 204749650 210599640 233999600 245699580 263249550 280799520 294839496 307124475 327599440 350999400 368549370 393119328 409499300 421199280 467999200 491399160 526499100 589678992 614248950 655198880 701998800 737098740 818998600 842398560 921373425 982798320 1052998200 1179357984 1228497900 1403997600 1474197480 1637997200 1842746850 1965596640 2105996400 2456995800 2948394960 3275994400 3685493700 4211992800 4913991600 5896789920 7370987400 9827983200 14741974800 29483949600 1653182414467 3306364828934 4959547243401 6612729657868 8265912072335 9919094486802 11572276901269 13225459315736 14878641730203 16531824144670 19838188973604 23144553802538 24797736217005 26450918631472 29757283460406 33063648289340 34716830703807 39676377947208 41329560361675 46289107605076 49595472434010 52901837262944 57861384506345 59514566920812 66127296578680 69433661407614 74393208651015 79352755894416 82659120723350 92578215210152 99190944868020 104150492111421 115722769012690 119029133841624 123988681085025 132254593157360 138867322815228 148786417302030 158705511788832 165318241446700 173584153519035 185156430420304 198381889736040 208300984222842 231445538025380 238058267683248 247977362170050 264509186314720 277734645630456 289306922531725 297572834604060 330636482893400 347168307038070 370312860840608 371966043255075 396763779472080 416601968445684 462891076050760 476116535366496 495954724340100 520752460557105 555469291260912 578613845063450 595145669208120 661272965786800 694336614076140 743932086510150 793527558944160 833203936891368 867920767595175 925782152101520 991909448680200 1041504921114210 1110938582521824 1157227690126900 1190291338416240 1322545931573600 1388673228152280 1487864173020300 1666407873782736 1735841535190350 1851564304203040 1983818897360400 2083009842228420 2314455380253800 2380582676832480 2603762302785525 2777346456304560 2975728346040600 3332815747565472 3471683070380700 3967637794720800 4166019684456840 4628910760507600 5207524605571050 5554692912609120 5951456692081200 6943366140761400 8332039368913680 9257821521015200 10415049211142100 11902913384162400 13886732281522800 16664078737827360 20830098422284200 27773464563045600 41660196844568400 83320393689136800 967110059280780533 1934220118561561066 2901330177842341599 3868440237123122132 4835550296403902665 5802660355684683198 6769770414965463731 7736880474246244264 8703990533527024797 9671100592807805330 11605320711369366396 13539540829930927462 14506650889211707995 15473760948492488528 17407981067054049594 19342201185615610660 20309311244896391193 23210641422738732792 24177751482019513325 27079081659861854924 29013301778423415990 30947521896984977056 33848852074827318655 34815962134108099188 38684402371231221320 40618622489792782386 43519952667635123985 46421282845477465584 48355502964039026650 54158163319723709848 58026603556846831980 60927933734689173579 67697704149654637310 69631924268216198376 72533254446058539975 77368804742462442640 81237244979585564772 87039905335270247970 92842565690954931168 96711005928078053300 101546556224481955965 108316326639447419696 116053207113693663960 121855867469378347158 135395408299309274620 139263848536432396752 145066508892117079950 154737609484924885280 162474489959171129544 169244260374136593275 174079810670540495940 193422011856156106600 203093112448963911930 216632653278894839392 217599763338175619925 232106414227387327920 243711734938756694316 270790816598618549240 278527697072864793504 290133017784234159900 304639668673445867895 324948979918342259088 338488520748273186550 348159621341080991880 386844023712312213200 406186224897927823860 435199526676351239850 464212828454774655840 487423469877513388632 507732781122409779825 541581633197237098480 580266035568468319800 609279337346891735790 649897959836684518176 676977041496546373100 696319242682161983760 773688047424624426400 812372449795855647720 870399053352702479700 974846939755026777264 1015465562244819559650 1083163266394474196960 1160532071136936639600 1218558674693783471580 1353954082993092746200 1392638485364323967520 1523198343367229339475 1624744899591711295440 1740798106705404959400 1949693879510053554528 2030931124489639119300 2321064142273873279200 2437117349387566943160 2707908165986185492400 3046396686734458678950 3249489799183422590880 3481596213410809918800 4061862248979278238600 4874234698775133886320 5415816331972370984800 6092793373468917357900 6963192426821619837600 8123724497958556477200 9748469397550267772640 12185586746937834715800 16247448995917112954400 24371173493875669431600 48742346987751338863200
- Sum of all divisors σ(n): 196431994141943283360000
- Sum of proper divisors (its aliquot sum) s(n): 147689647154191944496800
- 48742346987751338863200 is an abundant number, because the sum of its proper divisors (147689647154191944496800) is greater than itself. Its abundance is 98947300166440605633600
Bases of 48742346987751338863200
- Binary: 10100101001001010011111100101110000101010110011001011100111011101010011000002
- Hexadecimal: 0xA5253F2E15665CEEA60
- Base-36: 7XQPI1UR8BQ5ZS0
Squares and roots of 48742346987751338863200
- 48742346987751338863200 squared (487423469877513388632002) is 2375816389874352017319389560444154668314240000
- 48742346987751338863200 cubed (487423469877513388632003) is 115802866854442382545505243193723773542530639288771074141971968000000
-
The
square root of 48742346987751338863200 is 220776690317.9575678077 -
The
cube root of 48742346987751338863200 is 36528806.1803173591
Scales and comparisons
How big is 48742346987751338863200?- 48,742,346,987,751,338,863,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,742,346,987,751,338,863,200 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 48742346987751338863200 cubic inches would be around 3044067.2 feet tall.
Recreational maths with 48742346987751338863200
- 48742346987751338863200 backwards is 00236883315778964324784
- The number of decimal digits it has is: 23
- The sum of 48742346987751338863200's digits is 108
- More coming soon!
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The information we have on file for 48742346987751338863200 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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