48536819626100841472000
48,536,819,626,100,841,472,000 is an even composite number composed of four prime numbers multiplied together.
48536819626100841472000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 48536819626100841472000:
213 × 53 × 7529017 × 6295541359
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7529017 × 6295541359)See below for interesting mathematical facts about the number 48536819626100841472000 from the Numbermatics database.
Names of 48536819626100841472000
- Cardinal: 48536819626100841472000 can be written as Forty-eight sextillion, five hundred thirty-six quintillion, eight hundred nineteen quadrillion, six hundred twenty-six trillion, one hundred billion, eight hundred forty-one million, four hundred seventy-two thousand.
Scientific notation
- Scientific notation: 4.8536819626100841472 × 1022
Factors of 48536819626100841472000
- Number of distinct prime factors ω(n): 4
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 6303070383
Divisors of 48536819626100841472000
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 2000 2048 2560 3200 4000 4096 5120 6400 8000 8192 10240 12800 16000 20480 25600 32000 40960 51200 64000 102400 128000 204800 256000 512000 1024000 7529017 15058034 30116068 37645085 60232136 75290170 120464272 150580340 188225425 240928544 301160680 376450850 481857088 602321360 752901700 941127125 963714176 1204642720 1505803400 1882254250 1927428352 2409285440 3011606800 3764508500 3854856704 4818570880 6023213600 6295541359 7529017000 7709713408 9637141760 12046427200 12591082718 15058034000 15419426816 19274283520 24092854400 25182165436 30116068000 30838853632 31477706795 38548567040 48185708800 50364330872 60232136000 61677707264 62955413590 77097134080 96371417600 100728661744 120464272000 125910827180 154194268160 157388533975 192742835200 201457323488 240928544000 251821654360 308388536320 314777067950 385485670400 402914646976 481857088000 503643308720 629554135900 770971340800 786942669875 805829293952 963714176000 1007286617440 1259108271800 1541942681600 1573885339750 1611658587904 1927428352000 2014573234880 2518216543600 3147770679500 3223317175808 3854856704000 4029146469760 5036433087200 6295541359000 6446634351616 7709713408000 8058292939520 10072866174400 12591082718000 12893268703232 16116585879040 20145732348800 25182165436000 25786537406464 32233171758080 40291464697600 50364330872000 51573074812928 64466343516160 80582929395200 100728661744000 128932687032320 161165858790400 201457323488000 257865374064640 322331717580800 402914646976000 644663435161600 805829293952000 1289326870323200 1611658587904000 3223317175808000 6446634351616000 47399237916114103 94798475832228206 189596951664456412 236996189580570515 379193903328912824 473992379161141030 758387806657825648 947984758322282060 1184980947902852575 1516775613315651296 1895969516644564120 2369961895805705150 3033551226631302592 3791939033289128240 4739923791611410300 5924904739514262875 6067102453262605184 7583878066578256480 9479847583222820600 11849809479028525750 12134204906525210368 15167756133156512960 18959695166445641200 23699618958057051500 24268409813050420736 30335512266313025920 37919390332891282400 47399237916114103000 48536819626100841472 60671024532626051840 75838780665782564800 94798475832228206000 97073639252201682944 121342049065252103680 151677561331565129600 189596951664456412000 194147278504403365888 242684098130504207360 303355122663130259200 379193903328912824000 388294557008806731776 485368196261008414720 606710245326260518400 758387806657825648000 970736392522016829440 1213420490652521036800 1516775613315651296000 1941472785044033658880 2426840981305042073600 3033551226631302592000 4853681962610084147200 6067102453262605184000 9707363925220168294400 12134204906525210368000 24268409813050420736000 48536819626100841472000
- Sum of all divisors σ(n): 121140523614692296391040
- Sum of proper divisors (its aliquot sum) s(n): 72603703988591454919040
- 48536819626100841472000 is an abundant number, because the sum of its proper divisors (72603703988591454919040) is greater than itself. Its abundance is 24066884362490613447040
Bases of 48536819626100841472000
- Binary: 10100100011100101111101011110000001011011000110101001010101101100000000000002
- Hexadecimal: 0xA472FAF02D8D4AB6000
- Base-36: 7WJC015JX2J8W74
Squares and roots of 48536819626100841472000
- 48536819626100841472000 squared (485368196261008414720002) is 2355822859416647828550578827946475126784000000
- 48536819626100841472000 cubed (485368196261008414720003) is 114344149198550955880838841418269195206672646751780285186048000000000
-
The
square root of 48536819626100841472000 is 220310734250.7414945319 -
The
cube root of 48536819626100841472000 is 36477391.2970174575
Scales and comparisons
How big is 48536819626100841472000?- 48,536,819,626,100,841,472,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,536,819,626,100,841,472,000 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 48536819626100841472000 cubic inches would be around 3039782.6 feet tall.
Recreational maths with 48536819626100841472000
- 48536819626100841472000 backwards is 00027414800162691863584
- The number of decimal digits it has is: 23
- The sum of 48536819626100841472000's digits is 85
- More coming soon!
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