48538216964895689763512
48,538,216,964,895,689,763,512 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48538216964895689763512 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 256 divisors.
48538216964895689763512 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 48538216964895689763512:
23 × 11 × 37 × 109 × 2273 × 11719 × 5134320019
(2 × 2 × 2 × 11 × 37 × 109 × 2273 × 11719 × 5134320019)See below for interesting mathematical facts about the number 48538216964895689763512 from the Numbermatics database.
Names of 48538216964895689763512
- Cardinal: 48538216964895689763512 can be written as Forty-eight sextillion, five hundred thirty-eight quintillion, two hundred sixteen quadrillion, nine hundred sixty-four trillion, eight hundred ninety-five billion, six hundred eighty-nine million, seven hundred sixty-three thousand, five hundred twelve.
Scientific notation
- Scientific notation: 4.8538216964895689763512 × 1022
Factors of 48538216964895689763512
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 5134334170
Divisors of 48538216964895689763512
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 4 8 11 22 37 44 74 88 109 148 218 296 407 436 814 872 1199 1628 2273 2398 3256 4033 4546 4796 8066 9092 9592 11719 16132 18184 23438 25003 32264 44363 46876 50006 84101 88726 93752 100012 128909 168202 177452 200024 247757 257818 336404 354904 433603 495514 515636 672808 867206 925111 991028 1031272 1277371 1734412 1850222 1982056 2554742 2725327 3468824 3700444 4769633 5109484 5450654 7400888 9167009 9539266 10218968 10901308 14051081 18334018 19078532 21802616 26637287 28102162 36668036 38157064 47262727 53274574 56204324 73336072 94525454 100837099 106549148 112408648 189050908 201674198 213098296 293010157 378101816 403348396 519889997 586020314 806696792 985579619 1039779994 1172040628 1971159238 2079559988 2344081256 2903464283 3942318476 4159119976 5134320019 5806928566 7884636952 10268640038 10841375809 11613857132 20537280076 21682751618 23227714264 31938107113 41074560152 43365503236 56477520209 63876214226 86731006472 107428178471 112955040418 127752428452 189969840703 214856356942 225910080836 255504856904 379939681406 429712713884 451820161672 559640882071 759879362812 859425427768 1119281764142 1181709963181 1519758725624 2089668247733 2238563528284 2363419926362 4179336495466 4477127056568 4726839852724 6156049702781 8358672990932 9453679705448 11670309403187 12312099405562 16717345981864 20706712636627 23340618806374 24624198811124 41413425273254 46681237612748 49248397622248 60169096302661 82826850546508 93362475225496 120338192605322 128373403435057 165653701093016 227773839002897 240676385210644 256746806870114 431801447917919 455547678005794 481352770421288 513493613740228 661860059329271 863602895835838 911095356011588 1026987227480456 1272063724947383 1323720118658542 1727205791671676 1822190712023176 2226256563198457 2544127449894766 2647440237317084 3454411583343352 4452513126396914 4749815927097109 5088254899789532 5294880474634168 6558431496990049 8905026252793828 9499631854194218 10176509799579064 13116862993980098 13992700974421213 17810052505587656 18999263708388436 24488822195183027 26233725987960196 27985401948842426 37998527416776872 47066357823053171 48977644390366054 52467451975920392 55970803897684852 72142746466890539 94132715646106342 97955288780732108 111941607795369704 136764355895948453 144285492933781078 188265431292212684 195910577561464216 242661965388631813 273528711791896906 288570985867562156 376530862584425368 485323930777263626 517729936053584881 547057423583793812 577141971735124312 970647861554527252 1035459872107169762 1094114847167587624 1504407914855432983 1941295723109054504 2070919744214339524 2669281619274949943 3008815829710865966 4141839488428679048 5060281168150092761 5338563238549899886 6017631659421731932 10120562336300185522 10677126477099799772 12035263318843463864 14907314792658381377 20241124672600371044 21354252954199599544 29814629585316762754 40482249345200742088 55663092849651020371 59629259170633525508 111326185699302040742 119258518341267051016 163980462719242195147 222652371398604081484 327960925438484390294 445304742797208162968 551570647328360110949 655921850876968780588 1103141294656720221898 1311843701753937561176 2206282589313440443796 4412565178626880887592 6067277120611961220439 12134554241223922440878 24269108482447844881756 48538216964895689763512
- Sum of all divisors σ(n): 102955557228079501440000
- Sum of proper divisors (its aliquot sum) s(n): 54417340263183811676488
- 48538216964895689763512 is an abundant number, because the sum of its proper divisors (54417340263183811676488) is greater than itself. Its abundance is 5879123298288121912976
Bases of 48538216964895689763512
- Binary: 10100100011101000011000100110101101100010011110101100111100101101010101110002
- Hexadecimal: 0xA4743135B13D6796AB8
- Base-36: 7WJMM7WTDHXDN08
Squares and roots of 48538216964895689763512
- 48538216964895689763512 squared (485382169648956897635122) is 2355958506131287745444360873387596182486574144
- 48538216964895689763512 cubed (485382169648956897635123) is 114354025130891976774293608585540760417989994617550132407154413833728
-
The
square root of 48538216964895689763512 is 220313905518.6841577125 -
The
cube root of 48538216964895689763512 is 36477741.3459442517
Scales and comparisons
How big is 48538216964895689763512?- 48,538,216,964,895,689,763,512 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,538,216,964,895,689,763,512 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 48538216964895689763512 cubic inches would be around 3039811.8 feet tall.
Recreational maths with 48538216964895689763512
- 48538216964895689763512 backwards is 21536798659846961283584
- The number of decimal digits it has is: 23
- The sum of 48538216964895689763512's digits is 125
- More coming soon!
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The information we have on file for 48538216964895689763512 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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