48336913931152000
48,336,913,931,152,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48336913931152000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3456 divisors.
48336913931152000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 48336913931152000:
27 × 53 × 72 × 11 × 412 × 532 × 1187
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 11 × 41 × 41 × 53 × 53 × 1187)See below for interesting mathematical facts about the number 48336913931152000 from the Numbermatics database.
Names of 48336913931152000
- Cardinal: 48336913931152000 can be written as Forty-eight quadrillion, three hundred thirty-six trillion, nine hundred thirteen billion, nine hundred thirty-one million, one hundred fifty-two thousand.
Scientific notation
- Scientific notation: 4.8336913931152 × 1016
Factors of 48336913931152000
Divisors of 48336913931152000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 41 44 49 50 53 55 56 64 70 77 80 82 88 98 100 106 110 112 125 128 140 154 160 164 175 176 196 200 205 212 220 224 245 250 265 275 280 287 308 320 328 350 352 371 385 392 400 410 424 440 448 451 490 500 530 539 550 560 574 583 616 640 656 700 704 742 770 784 800 820 848 875 880 896 902 980 1000 1025 1060 1078 1100 1120 1148 1166 1187 1225 1232 1312 1325 1375 1400 1408 1435 1484 1540 1568 1600 1640 1681 1696 1750 1760 1804 1855 1925 1960 2000 2009 2050 2120 2156 2173 2200 2240 2255 2296 2332 2374 2450 2464 2597 2624 2650 2695 2750 2800 2809 2870 2915 2968 3080 3136 3157 3200 3280 3362 3392 3500 3520 3608 3710 3850 3920 4000 4018 4081 4100 4240 4312 4346 4400 4480 4510 4592 4664 4748 4900 4928 5125 5194 5248 5300 5390 5500 5600 5618 5740 5830 5935 5936 6125 6160 6272 6314 6560 6625 6724 6784 7000 7040 7175 7216 7420 7700 7840 8000 8036 8162 8200 8309 8405 8480 8624 8692 8800 9020 9184 9275 9328 9496 9625 9800 9856 10045 10250 10388 10600 10780 10865 11000 11200 11236 11275 11480 11660 11767 11870 11872 12250 12320 12628 12985 13057 13120 13250 13448 13475 14000 14045 14350 14432 14575 14840 15211 15400 15680 15785 16000 16072 16324 16400 16618 16810 16960 17248 17384 17600 18040 18368 18491 18550 18656 18992 19250 19600 19663 20090 20405 20500 20776 21200 21560 21730 22000 22099 22400 22472 22550 22960 23320 23534 23740 23744 23903 24500 24640 25256 25970 26114 26240 26500 26896 26950 28000 28090 28567 28700 28864 29150 29675 29680 30422 30800 30899 31360 31570 32144 32648 32800 33236 33620 33920 34496 34768 35200 35875 36080 36736 36982 37100 37312 37984 38500 39200 39326 40180 40810 41000 41545 41552 42025 42400 43120 43460 44000 44198 44944 45100 45920 46375 46640 47068 47480 47488 47806 48667 49000 49280 50225 50512 51940 52228 53000 53792 53900 54325 56000 56180 56375 57134 57400 57728 58163 58300 58835 59350 59360 60844 61600 61798 62911 63140 64288 64925 65285 65296 65600 66472 67240 67375 68992 69536 70225 71750 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114002155498000 117894912027200 120842284827880 123308453906000 125550425795200 130288177712000 137320778213500 138105468374720 147368640034000 151052856034850 156938032244000 168421302896000 172631835468400 175770596113280 182403448796800 193347655724608 197293526249600 215789794335500 219713245141600 228004310996000 235789824054400 241684569655760 246616907812000 274641556427000 276210936749440 294737280068000 302105712069700 313876064488000 345263670936800 377632140087125 386695311449216 431579588671000 439426490283200 456008621992000 483369139311520 493233815624000 549283112854000 589474560136000 604211424139400 627752128976000 690527341873600 755264280174250 863159177342000 878852980566400 912017243984000 966738278623040 986467631248000 1098566225708000 1178949120272000 1208422848278800 1381054683747200 1510528560348500 1726318354684000 1933476557246080 2197132451416000 2416845696557600 3021057120697000 3452636709368000 4394264902832000 4833691393115200 6042114241394000 6905273418736000 9667382786230400 12084228482788000 24168456965576000 48336913931152000
- Sum of all divisors σ(n): 159457131275682240
- Sum of proper divisors (its aliquot sum) s(n): 111120217344530240
- 48336913931152000 is an abundant number, because the sum of its proper divisors (111120217344530240) is greater than itself. Its abundance is 62783303413378240
Bases of 48336913931152000
- Binary: 101010111011101000101010110010000110011110101010100000002
- Hexadecimal: 0xABBA2AC867AA80
- Base-36: D7Y07PGH2F4
Squares and roots of 48336913931152000
- 48336913931152000 squared (483369139311520002) is 2336457248387596294596047104000000
- 48336913931152000 cubed (483369139311520003) is 112937132919127472121618563915648404983808000000000
-
The
square root of 48336913931152000 is 219856575.8196738583 -
The
cube root of 48336913931152000 is 364272.4330368579
Scales and comparisons
How big is 48336913931152000?- 48,336,913,931,152,000 seconds is equal to 1,536,964,347 years, 6 weeks, 1 day, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 48,336,913,931,152,000 would take you about four billion, six hundred ten million, eight hundred ninety-three thousand and forty-one 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 48336913931152000 cubic inches would be around 30356 feet tall.
Recreational maths with 48336913931152000
- 48336913931152000 backwards is 00025113931963384
- The number of decimal digits it has is: 17
- The sum of 48336913931152000's digits is 58
- More coming soon!
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MLA style:
"Number 48336913931152000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
APA style:
Numbermatics. (2024). Number 48336913931152000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/48336913931152000/
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Numbermatics. 2024. "Number 48336913931152000 - Facts about the integer". https://numbermatics.com/n/48336913931152000/
The information we have on file for 48336913931152000 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 48336913931152000, math, Factors of 48336913931152000, curriculum, school, college, exams, university, Prime factorization of 48336913931152000, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, three hundred thirty-six trillion, nine hundred thirteen billion, nine hundred thirty-one million, one hundred fifty-two thousand.