47661968640000
47,661,968,640,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 47661968640000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3840 divisors.
47661968640000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 47661968640000:
211 × 3 × 54 × 11 × 13 × 29 × 41 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 11 × 13 × 29 × 41 × 73)See below for interesting mathematical facts about the number 47661968640000 from the Numbermatics database.
Names of 47661968640000
- Cardinal: 47661968640000 can be written as Forty-seven trillion, six hundred sixty-one billion, nine hundred sixty-eight million, six hundred forty thousand.
Scientific notation
- Scientific notation: 4.766196864 × 1013
Factors of 47661968640000
Divisors of 47661968640000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 29 30 32 33 39 40 41 44 48 50 52 55 58 60 64 65 66 73 75 78 80 82 87 88 96 100 104 110 116 120 123 125 128 130 132 143 145 146 150 156 160 164 165 174 176 192 195 200 205 208 219 220 232 240 246 250 256 260 264 275 286 290 292 300 312 319 320 325 328 330 348 352 365 375 377 384 390 400 410 416 429 435 438 440 451 464 480 492 500 512 520 528 533 550 572 580 584 600 615 624 625 638 640 650 656 660 696 704 715 725 730 750 754 768 780 800 803 820 825 832 858 870 876 880 902 928 949 957 960 975 984 1000 1024 1025 1040 1056 1066 1095 1100 1131 1144 1160 1168 1189 1200 1230 1248 1250 1276 1280 1300 1312 1320 1353 1375 1392 1408 1430 1450 1460 1500 1508 1536 1560 1595 1599 1600 1606 1625 1640 1650 1664 1716 1740 1752 1760 1804 1825 1856 1875 1885 1898 1914 1920 1950 1968 2000 2048 2050 2080 2112 2117 2132 2145 2175 2190 2200 2255 2262 2288 2320 2336 2378 2400 2409 2460 2496 2500 2552 2560 2600 2624 2640 2665 2706 2750 2784 2816 2847 2860 2900 2920 2993 3000 3016 3072 3075 3120 3190 3198 3200 3212 3250 3280 3300 3328 3432 3480 3504 3520 3567 3575 3608 3625 3650 3712 3750 3770 3796 3828 3840 3900 3936 4000 4015 4100 4125 4147 4160 4224 4234 4264 4290 4350 4380 4400 4510 4524 4576 4640 4672 4745 4756 4785 4800 4818 4875 4920 4992 5000 5104 5120 5125 5200 5248 5280 5330 5412 5475 5500 5568 5632 5655 5694 5720 5800 5840 5863 5945 5986 6000 6032 6144 6150 6240 6351 6380 6396 6400 6424 6500 6560 6600 6656 6765 6864 6875 6960 7008 7040 7134 7150 7216 7250 7300 7424 7500 7540 7592 7656 7680 7800 7872 7975 7995 8000 8030 8125 8200 8250 8294 8320 8448 8468 8528 8580 8700 8760 8800 8979 9020 9048 9125 9152 9280 9344 9425 9490 9512 9570 9600 9636 9750 9840 9984 10000 10208 10240 10250 10400 10439 10496 10560 10585 10660 10725 10824 10875 10950 11000 11136 11264 11275 11310 11388 11440 11600 11680 11726 11890 11972 12000 12045 12064 12300 12441 12480 12702 12760 12792 12800 12848 13000 13079 13120 13200 13312 13325 13530 13728 13750 13920 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11915492160000 15887322880000 23830984320000 47661968640000
- Sum of all divisors σ(n): 200390199609600
- Sum of proper divisors (its aliquot sum) s(n): 152728230969600
- 47661968640000 is an abundant number, because the sum of its proper divisors (152728230969600) is greater than itself. Its abundance is 105066262329600
Bases of 47661968640000
- Binary: 10101101011001001010101011010111001000000000002
- Hexadecimal: 0x2B592AB5C800
- Base-36: GW7LTJ6DC
Squares and roots of 47661968640000
- 47661968640000 squared (476619686400002) is 2271663254640343449600000000
- 47661968640000 cubed (476619686400003) is 108271942803308383973664620544000000000000
-
The
square root of 47661968640000 is 6903764.8163882291 -
The
cube root of 47661968640000 is 36256.8991742081
Scales and comparisons
How big is 47661968640000?- 47,661,968,640,000 seconds is equal to 1,515,503 years, 9 weeks, 13 hours, 20 minutes.
-
To count from 1 to 47,661,968,640,000 would take you about three million, seven hundred eighty-eight thousand, seven hundred fifty-seven 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 47661968640000 cubic inches would be around 3021.4 feet tall.
Recreational maths with 47661968640000
- 47661968640000 backwards is 00004686916674
- The number of decimal digits it has is: 14
- The sum of 47661968640000's digits is 57
- More coming soon!
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"Number 47661968640000 - Facts about the integer". Numbermatics.com. 2024. Web. 13 May 2024.
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Numbermatics. (2024). Number 47661968640000 - Facts about the integer. Retrieved 13 May 2024, from https://numbermatics.com/n/47661968640000/
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The information we have on file for 47661968640000 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 47661968640000, math, Factors of 47661968640000, curriculum, school, college, exams, university, Prime factorization of 47661968640000, STEM, science, technology, engineering, physics, economics, calculator, forty-seven trillion, six hundred sixty-one billion, nine hundred sixty-eight million, six hundred forty thousand.