48023719145472000
48,023,719,145,472,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48023719145472000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3072 divisors.
48023719145472000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 48023719145472000:
215 × 3 × 53 × 72 × 17 × 61 × 76913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 17 × 61 × 76913)See below for interesting mathematical facts about the number 48023719145472000 from the Numbermatics database.
Names of 48023719145472000
- Cardinal: 48023719145472000 can be written as Forty-eight quadrillion, twenty-three trillion, seven hundred nineteen billion, one hundred forty-five million, four hundred seventy-two thousand.
Scientific notation
- Scientific notation: 4.8023719145472 × 1016
Factors of 48023719145472000
Divisors of 48023719145472000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 48 49 50 51 56 60 61 64 68 70 75 80 84 85 96 98 100 102 105 112 119 120 122 125 128 136 140 147 150 160 168 170 175 183 192 196 200 204 210 224 238 240 244 245 250 255 256 272 280 294 300 305 320 336 340 350 357 366 375 384 392 400 408 420 425 427 448 476 480 488 490 500 510 512 525 544 560 588 595 600 610 640 672 680 700 714 732 735 750 768 784 800 816 833 840 850 854 875 896 915 952 960 976 980 1000 1020 1024 1037 1050 1088 1120 1176 1190 1200 1220 1225 1275 1280 1281 1344 1360 1400 1428 1464 1470 1500 1525 1536 1568 1600 1632 1666 1680 1700 1708 1750 1785 1792 1830 1904 1920 1952 1960 2000 2040 2048 2074 2100 2125 2135 2176 2240 2352 2380 2400 2440 2450 2499 2550 2560 2562 2625 2688 2720 2800 2856 2928 2940 2975 2989 3000 3050 3072 3111 3136 3200 3264 3332 3360 3400 3416 3500 3570 3584 3660 3675 3808 3840 3904 3920 4000 4080 4096 4148 4165 4200 4250 4270 4352 4480 4575 4704 4760 4800 4880 4900 4998 5100 5120 5124 5185 5250 5376 5440 5600 5712 5856 5880 5950 5978 6000 6100 6125 6144 6222 6272 6375 6400 6405 6528 6664 6720 6800 6832 7000 7140 7168 7259 7320 7350 7616 7625 7680 7808 7840 8000 8160 8192 8296 8330 8400 8500 8540 8704 8925 8960 8967 9150 9408 9520 9600 9760 9800 9996 10200 10240 10248 10370 10500 10675 10752 10880 11200 11424 11712 11760 11900 11956 12000 12200 12250 12288 12444 12495 12544 12750 12800 12810 13056 13328 13440 13600 13664 14000 14280 14336 14518 14640 14700 14875 14945 15232 15250 15360 15555 15616 15680 16000 16320 16384 16592 16660 16800 17000 17080 17408 17850 17920 17934 18300 18375 18816 19040 19200 19520 19600 19992 20400 20480 20496 20740 20825 21000 21350 21504 21760 21777 22400 22848 22875 23424 23520 23800 23912 24000 24400 24500 24576 24888 24990 25088 25500 25600 25620 25925 26112 26656 26880 27200 27328 28000 28560 28672 29036 29280 29400 29750 29890 30464 30500 30720 31110 31232 31360 32000 32025 32640 32768 33184 33320 33600 34000 34160 34816 35700 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141246232780800 142927735552000 150074122329600 157454816870400 160079063818240 163345983488000 171513282662400 176557790976000 187592652912000 188328310374400 192094876581888 196015180185600 196818521088000 200098829772800 201780332544000 214391603328000 228684376883200 235410387968000 240118595727360 245018975232000 250123537216000 262424694784000 274421252259840 282492465561600 285855471104000 300148244659200 320158127636480 326691966976000 343026565324800 353115581952000 375185305824000 384189753163776 393637042176000 400197659545600 403560665088000 428783206656000 457368753766400 470820775936000 480237191454720 490037950464000 500247074432000 564984931123200 571710942208000 600296489318400 640316255272960 686053130649600 706231163904000 750370611648000 787274084352000 800395319091200 857566413312000 941641551872000 960474382909440 980075900928000 1000494148864000 1143421884416000 1200592978636800 1372106261299200 1412462327808000 1500741223296000 1600790638182400 1715132826624000 1920948765818880 2000988297728000 2286843768832000 2401185957273600 2824924655616000 3001482446592000 3201581276364800 3430265653248000 4001976595456000 4802371914547200 6002964893184000 6860531306496000 8003953190912000 9604743829094400 12005929786368000 16007906381824000 24011859572736000 48023719145472000
- Sum of all divisors σ(n): 200079384006453120
- Sum of proper divisors (its aliquot sum) s(n): 152055664860981120
- 48023719145472000 is an abundant number, because the sum of its proper divisors (152055664860981120) is greater than itself. Its abundance is 104031945715509120
Bases of 48023719145472000
- Binary: 101010101001110101010001011100000111010110000000000000002
- Hexadecimal: 0xAA9D5170758000
- Base-36: D4UZK0BJ2TC
Squares and roots of 48023719145472000
- 48023719145472000 squared (480237191454720002) is 2306277600563173921898102784000000
- 48023719145472000 cubed (480237191454720003) is 110756027760938921282488471498294504194048000000000
-
The
square root of 48023719145472000 is 219143147.6124042535 -
The
cube root of 48023719145472000 is 363483.9705806885
Scales and comparisons
How big is 48023719145472000?- 48,023,719,145,472,000 seconds is equal to 1,527,005,721 years, 36 weeks, 6 days, 5 hours, 20 minutes.
-
To count from 1 to 48,023,719,145,472,000 would take you about four billion, five hundred eighty-one million, seventeen thousand, one hundred sixty-five 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 48023719145472000 cubic inches would be around 30290.3 feet tall.
Recreational maths with 48023719145472000
- 48023719145472000 backwards is 00027454191732084
- The number of decimal digits it has is: 17
- The sum of 48023719145472000's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 48023719145472000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 48023719145472000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/48023719145472000/
Chicago style:
Numbermatics. 2024. "Number 48023719145472000 - Facts about the integer". https://numbermatics.com/n/48023719145472000/
The information we have on file for 48023719145472000 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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