480677446341120000
480,677,446,341,120,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 480677446341120000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 5460 divisors.
480677446341120000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, four hundred sixty divisors.
Prime factorization of 480677446341120000:
212 × 3 × 54 × 76 × 31 × 1312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 31 × 131 × 131)See below for interesting mathematical facts about the number 480677446341120000 from the Numbermatics database.
Names of 480677446341120000
- Cardinal: 480677446341120000 can be written as Four hundred eighty quadrillion, six hundred seventy-seven trillion, four hundred forty-six billion, three hundred forty-one million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 4.8067744634112 × 1017
Factors of 480677446341120000
Divisors of 480677446341120000
- Number of divisors d(n): 5460
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 48 49 50 56 60 62 64 70 75 80 84 93 96 98 100 105 112 120 124 125 128 131 140 147 150 155 160 168 175 186 192 196 200 210 217 224 240 245 248 250 256 262 280 294 300 310 320 336 343 350 372 375 384 392 393 400 420 434 448 465 480 490 496 500 512 524 525 560 588 600 620 625 640 651 655 672 686 700 735 744 750 768 775 784 786 800 840 868 875 896 917 930 960 980 992 1000 1024 1029 1048 1050 1085 1120 1176 1200 1225 1240 1250 1280 1302 1310 1344 1372 1400 1470 1488 1500 1519 1536 1550 1568 1572 1600 1680 1715 1736 1750 1792 1834 1860 1875 1920 1960 1965 1984 2000 2048 2058 2096 2100 2170 2240 2325 2352 2400 2401 2450 2480 2500 2560 2604 2620 2625 2688 2744 2751 2800 2940 2976 3000 3038 3072 3100 3136 3144 3200 3255 3275 3360 3430 3472 3500 3584 3668 3675 3720 3750 3840 3875 3920 3930 3968 4000 4061 4096 4116 4192 4200 4340 4375 4480 4557 4585 4650 4704 4800 4802 4900 4960 5000 5120 5145 5208 5240 5250 5376 5425 5488 5502 5600 5880 5952 6000 6076 6125 6144 6200 6272 6288 6400 6419 6510 6550 6720 6860 6944 7000 7168 7203 7336 7350 7440 7500 7595 7680 7750 7840 7860 7936 8000 8122 8232 8384 8400 8575 8680 8750 8960 9114 9170 9300 9408 9600 9604 9800 9825 9920 10000 10240 10290 10416 10480 10500 10633 10752 10850 10976 11004 11200 11625 11760 11904 12000 12005 12152 12183 12250 12288 12400 12544 12576 12800 12838 13020 13100 13125 13440 13720 13755 13888 14000 14336 14406 14672 14700 14880 15000 15190 15360 15500 15680 15720 15872 16000 16244 16275 16375 16464 16768 16800 16807 17150 17161 17360 17500 17920 18228 18340 18375 18600 18816 19200 19208 19257 19375 19600 19650 19840 20000 20305 20480 20580 20832 20960 21000 21266 21504 21700 21952 22008 22400 22785 22925 23250 23520 23808 24000 24010 24304 24366 24500 24800 25088 25152 25600 25676 25725 26040 26200 26250 26880 27125 27440 27510 27776 28000 28427 28672 28812 29344 29400 29760 30000 30380 30625 30720 31000 31360 31440 31744 31899 32000 32095 32488 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- Sum of all divisors σ(n): 1943581574858684288
- Sum of proper divisors (its aliquot sum) s(n): 1462904128517564288
- 480677446341120000 is an abundant number, because the sum of its proper divisors (1462904128517564288) is greater than itself. Its abundance is 982226682176444288
Bases of 480677446341120000
- Binary: 110101010111011010110010111001110001011010001010000000000002
- Hexadecimal: 0x6ABB59738B45000
- Base-36: 3NGXXME3M8LC
Squares and roots of 480677446341120000
- 480677446341120000 squared (4806774463411200002) is 231050807421020296875402854400000000
- 480677446341120000 cubed (4806774463411200003) is 111060912086189934443688867944239284092928000000000000
-
The
square root of 480677446341120000 is 693309055.4299143149 -
The
cube root of 480677446341120000 is 783341.7040745299
Scales and comparisons
How big is 480677446341120000?- 480,677,446,341,120,000 seconds is equal to 15,284,055,960 years, 35 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 480,677,446,341,120,000 would take you about forty-five billion, eight hundred fifty-two million, one hundred sixty-seven thousand, eight hundred eighty-two 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 480677446341120000 cubic inches would be around 65278.5 feet tall.
Recreational maths with 480677446341120000
- 480677446341120000 backwards is 000021143644776084
- The number of decimal digits it has is: 18
- The sum of 480677446341120000's digits is 57
- More coming soon!
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"Number 480677446341120000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 480677446341120000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/480677446341120000/
Chicago style:
Numbermatics. 2024. "Number 480677446341120000 - Facts about the integer". https://numbermatics.com/n/480677446341120000/
The information we have on file for 480677446341120000 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 480677446341120000, math, Factors of 480677446341120000, curriculum, school, college, exams, university, Prime factorization of 480677446341120000, STEM, science, technology, engineering, physics, economics, calculator, four hundred eighty quadrillion, six hundred seventy-seven trillion, four hundred forty-six billion, three hundred forty-one million, one hundred twenty thousand.