48387147120000
48,387,147,120,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48387147120000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3840 divisors.
48387147120000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 48387147120000:
27 × 33 × 54 × 132 × 41 × 53 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 13 × 13 × 41 × 53 × 61)See below for interesting mathematical facts about the number 48387147120000 from the Numbermatics database.
Names of 48387147120000
- Cardinal: 48387147120000 can be written as Forty-eight trillion, three hundred eighty-seven billion, one hundred forty-seven million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 4.838714712 × 1013
Factors of 48387147120000
Divisors of 48387147120000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 41 45 48 50 52 53 54 60 61 64 65 72 75 78 80 82 90 96 100 104 106 108 117 120 122 123 125 128 130 135 144 150 156 159 160 164 169 180 183 192 195 200 205 208 212 216 225 234 240 244 246 250 260 265 270 288 300 305 312 318 320 325 328 338 351 360 366 369 375 384 390 400 410 416 424 432 450 468 477 480 488 492 500 507 520 530 533 540 549 576 585 600 610 615 624 625 636 640 650 656 675 676 689 702 720 732 738 750 780 793 795 800 820 832 845 848 864 900 915 936 954 960 975 976 984 1000 1014 1025 1040 1060 1066 1080 1098 1107 1125 1152 1170 1200 1220 1230 1248 1250 1272 1300 1312 1325 1350 1352 1378 1404 1431 1440 1464 1476 1500 1521 1525 1560 1586 1590 1599 1600 1625 1640 1647 1664 1690 1696 1728 1755 1800 1830 1845 1872 1875 1908 1920 1950 1952 1968 2000 2028 2050 2067 2080 2120 2132 2160 2173 2196 2214 2250 2340 2379 2385 2400 2440 2460 2496 2500 2501 2535 2544 2600 2624 2650 2665 2700 2704 2745 2756 2808 2862 2880 2925 2928 2952 3000 3042 3050 3075 3120 3172 3180 3198 3200 3233 3250 3280 3294 3375 3380 3392 3445 3456 3510 3600 3660 3690 3744 3750 3816 3900 3904 3936 3965 3975 4000 4056 4100 4134 4160 4225 4240 4264 4320 4346 4392 4428 4500 4563 4575 4680 4758 4770 4797 4800 4875 4880 4920 4992 5000 5002 5070 5088 5125 5200 5248 5300 5330 5400 5408 5490 5512 5535 5616 5625 5724 5760 5850 5856 5904 6000 6084 6100 6150 6201 6240 6344 6360 6396 6466 6500 6519 6560 6588 6625 6750 6760 6784 6890 6929 7020 7137 7155 7200 7320 7380 7488 7500 7503 7605 7625 7632 7800 7808 7872 7930 7950 7995 8000 8112 8125 8200 8235 8268 8320 8450 8480 8528 8640 8692 8775 8784 8856 8957 9000 9126 9150 9225 9360 9516 9540 9594 9600 9699 9750 9760 9840 10000 10004 10140 10176 10250 10309 10335 10400 10600 10660 10800 10816 10865 10980 11024 11070 11232 11250 11448 11700 11712 11808 11895 11925 12000 12168 12200 12300 12402 12480 12505 12675 12688 12720 12792 12932 13000 13038 13120 13176 13250 13325 13500 13520 13725 13780 13858 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12096786780000 16129049040000 24193573560000 48387147120000
- Sum of all divisors σ(n): 204992057793600
- Sum of proper divisors (its aliquot sum) s(n): 156604910673600
- 48387147120000 is an abundant number, because the sum of its proper divisors (156604910673600) is greater than itself. Its abundance is 108217763553600
Bases of 48387147120000
- Binary: 10110000000010000000101011011100111101100000002
- Hexadecimal: 0x2C0202B73D80
- Base-36: H5GQY2QO0
Squares and roots of 48387147120000
- 48387147120000 squared (483871471200002) is 2341316006412524294400000000
- 48387147120000 cubed (483871471200003) is 113289602056693676443706992128000000000000
-
The
square root of 48387147120000 is 6956087.0552344297 -
The
cube root of 48387147120000 is 36439.8577007597
Scales and comparisons
How big is 48387147120000?- 48,387,147,120,000 seconds is equal to 1,538,561 years, 31 weeks, 4 days.
-
To count from 1 to 48,387,147,120,000 would take you about three million, eight hundred forty-six thousand, four hundred four 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 48387147120000 cubic inches would be around 3036.7 feet tall.
Recreational maths with 48387147120000
- 48387147120000 backwards is 00002174178384
- 48387147120000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48387147120000's digits is 45
- More coming soon!
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Cite this page
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"Number 48387147120000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 48387147120000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/48387147120000/
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The information we have on file for 48387147120000 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 48387147120000, math, Factors of 48387147120000, curriculum, school, college, exams, university, Prime factorization of 48387147120000, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, three hundred eighty-seven billion, one hundred forty-seven million, one hundred twenty thousand.