48129168384000
48,129,168,384,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48129168384000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4480 divisors.
48129168384000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, four hundred eighty divisors.
Prime factorization of 48129168384000:
213 × 34 × 53 × 11 × 17 × 29 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 17 × 29 × 107)See below for interesting mathematical facts about the number 48129168384000 from the Numbermatics database.
Names of 48129168384000
- Cardinal: 48129168384000 can be written as Forty-eight trillion, one hundred twenty-nine billion, one hundred sixty-eight million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 4.8129168384 × 1013
Factors of 48129168384000
Divisors of 48129168384000
- Number of divisors d(n): 4480
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 27 29 30 32 33 34 36 40 44 45 48 50 51 54 55 58 60 64 66 68 72 75 80 81 85 87 88 90 96 99 100 102 107 108 110 116 120 125 128 132 135 136 144 145 150 153 160 162 165 170 174 176 180 187 192 198 200 204 214 216 220 225 232 240 250 255 256 261 264 270 272 275 288 290 297 300 306 319 320 321 324 330 340 348 352 360 374 375 384 396 400 405 408 425 428 432 435 440 450 459 464 480 493 495 500 510 512 522 528 535 540 544 550 561 576 580 594 600 612 638 640 642 648 660 675 680 696 704 720 725 748 750 765 768 783 792 800 810 816 825 850 856 864 870 880 891 900 918 928 935 957 960 963 986 990 1000 1020 1024 1044 1056 1070 1080 1088 1100 1122 1125 1152 1160 1177 1188 1200 1224 1275 1276 1280 1284 1296 1305 1320 1350 1360 1375 1377 1392 1408 1440 1450 1479 1485 1496 1500 1530 1536 1566 1584 1595 1600 1605 1620 1632 1650 1683 1700 1712 1728 1740 1760 1782 1800 1819 1836 1856 1870 1914 1920 1926 1972 1980 2000 2025 2040 2048 2088 2112 2125 2140 2160 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128687616000 133692134400 136730592000 138302208000 141556377600 145845964800 148546816000 149935104000 150403651200 150875136000 157284864000 160430561280 162051072000 165962649600 167115168000 175015157760 176945472000 178256179200 182307456000 184402944000 188004564000 188741836800 192516673536 200538201600 207453312000 213907415040 218768947200 222820224000 224902656000 235927296000 240645841920 243076608000 250672752000 257375232000 267384268800 273461184000 276604416000 283112755200 291691929600 297093632000 300807302400 314569728000 320861122560 331925299200 334230336000 353890944000 356512358400 364614912000 376009128000 385033347072 401076403200 414906624000 437537894400 445640448000 449805312000 471854592000 481291683840 486153216000 501345504000 534768537600 546922368000 553208832000 566225510400 594187264000 601614604800 641722245120 668460672000 707781888000 729229824000 752018256000 802152806400 829813248000 875075788800 891280896000 943709184000 962583367680 1002691008000 1069537075200 1093844736000 1203229209600 1336921344000 1415563776000 1458459648000 1504036512000 1604305612800 1659626496000 1782561792000 1925166735360 2005382016000 2187689472000 2406458419200 2673842688000 2831127552000 3008073024000 3208611225600 4010764032000 4375378944000 4812916838400 5347685376000 6016146048000 8021528064000 9625833676800 12032292096000 16043056128000 24064584192000 48129168384000
- Sum of all divisors σ(n): 216422376318720
- Sum of proper divisors (its aliquot sum) s(n): 168293207934720
- 48129168384000 is an abundant number, because the sum of its proper divisors (168293207934720) is greater than itself. Its abundance is 120164039550720
Bases of 48129168384000
- Binary: 10101111000101111100011111110000100000000000002
- Hexadecimal: 0x2BC5F1FC2000
- Base-36: H268G7400
Squares and roots of 48129168384000
- 48129168384000 squared (481291683840002) is 2316416849335425171456000000
- 48129168384000 cubed (481291683840003) is 111487216589199436573237894447104000000000
-
The
square root of 48129168384000 is 6937518.8925148161 -
The
cube root of 48129168384000 is 36374.9818990239
Scales and comparisons
How big is 48129168384000?- 48,129,168,384,000 seconds is equal to 1,530,358 years, 35 weeks, 3 days.
-
To count from 1 to 48,129,168,384,000 would take you about three million, eight hundred twenty-five thousand, eight hundred ninety-six 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 48129168384000 cubic inches would be around 3031.2 feet tall.
Recreational maths with 48129168384000
- 48129168384000 backwards is 00048386192184
- 48129168384000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48129168384000's digits is 54
- More coming soon!
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"Number 48129168384000 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
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Numbermatics. (2024). Number 48129168384000 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/48129168384000/
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The information we have on file for 48129168384000 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!
Keywords: Divisors of 48129168384000, math, Factors of 48129168384000, curriculum, school, college, exams, university, Prime factorization of 48129168384000, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, one hundred twenty-nine billion, one hundred sixty-eight million, three hundred eighty-four thousand.