48688008768000
48,688,008,768,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 48688008768000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3840 divisors.
48688008768000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 48688008768000:
29 × 37 × 53 × 72 × 31 × 229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 31 × 229)See below for interesting mathematical facts about the number 48688008768000 from the Numbermatics database.
Names of 48688008768000
- Cardinal: 48688008768000 can be written as Forty-eight trillion, six hundred eighty-eight billion, eight million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.8688008768 × 1013
Factors of 48688008768000
Divisors of 48688008768000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 31 32 35 36 40 42 45 48 49 50 54 56 60 62 63 64 70 72 75 80 81 84 90 93 96 98 100 105 108 112 120 124 125 126 128 135 140 144 147 150 155 160 162 168 175 180 186 189 192 196 200 210 216 217 224 225 229 240 243 245 248 250 252 256 270 279 280 288 294 300 310 315 320 324 336 350 360 372 375 378 384 392 400 405 420 432 434 441 448 450 458 465 480 486 490 496 500 504 512 525 540 558 560 567 576 588 600 620 630 640 648 651 672 675 687 700 720 729 735 744 750 756 768 775 784 800 810 837 840 864 868 875 882 896 900 916 930 945 960 972 980 992 1000 1008 1050 1080 1085 1116 1120 1125 1134 1145 1152 1176 1200 1215 1225 1240 1260 1280 1296 1302 1323 1344 1350 1374 1395 1400 1440 1458 1470 1488 1500 1512 1519 1536 1550 1568 1575 1600 1603 1620 1674 1680 1701 1728 1736 1750 1764 1792 1800 1832 1860 1890 1920 1944 1953 1960 1984 2000 2016 2025 2061 2100 2160 2170 2187 2205 2232 2240 2250 2268 2290 2304 2325 2352 2400 2430 2450 2480 2511 2520 2560 2592 2604 2625 2646 2688 2700 2748 2790 2800 2835 2880 2916 2940 2976 3000 3024 3038 3100 3136 3150 3200 3206 3240 3255 3348 3360 3375 3402 3435 3456 3472 3500 3528 3584 3600 3645 3664 3675 3720 3780 3840 3875 3888 3906 3920 3968 3969 4000 4032 4050 4122 4185 4200 4320 4340 4374 4410 4464 4480 4500 4536 4557 4580 4608 4650 4704 4725 4800 4809 4860 4900 4960 5022 5040 5103 5184 5208 5250 5292 5376 5400 5425 5496 5580 5600 5670 5725 5760 5832 5859 5880 5952 6000 6048 6075 6076 6125 6183 6200 6272 6300 6400 6412 6480 6510 6615 6696 6720 6750 6804 6870 6912 6944 6975 7000 7056 7099 7200 7290 7328 7350 7440 7533 7560 7595 7680 7750 7776 7812 7840 7875 7936 7938 8000 8015 8064 8100 8244 8370 8400 8505 8640 8680 8748 8820 8928 8960 9000 9072 9114 9160 9300 9408 9450 9600 9618 9720 9765 9800 9920 10044 10080 10125 10206 10305 10368 10416 10500 10584 10752 10800 10850 10935 10992 11025 11160 11200 11221 11340 11450 11520 11625 11664 11718 11760 11904 11907 12000 12096 12150 12152 12250 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200362176000 202866703200 212611392000 216391150080 217357182000 224368704000 225407448000 231847660800 243440043840 248408208000 253583379000 257608512000 261763488000 270488937600 278217192960 289809576000 300543264000 304300054800 314116185600 324586725120 331210944000 338111172000 347771491200 360651916800 380375068500 386412768000 389504070144 392645232000 405733406400 434714364000 450814896000 463695321600 486880087680 496816416000 507166758000 523526976000 540977875200 579619152000 601086528000 608600109600 649173450240 676222344000 695542982400 760750137000 772825536000 785290464000 811466812800 869428728000 901629792000 973760175360 993632832000 1014333516000 1081955750400 1159238304000 1217200219200 1352444688000 1391085964800 1521500274000 1570580928000 1622933625600 1738857456000 1803259584000 1947520350720 2028667032000 2318476608000 2434400438400 2704889376000 3043000548000 3245867251200 3477714912000 4057334064000 4868800876800 5409778752000 6086001096000 6955429824000 8114668128000 9737601753600 12172002192000 16229336256000 24344004384000 48688008768000
- Sum of all divisors σ(n): 219597173452800
- Sum of proper divisors (its aliquot sum) s(n): 170909164684800
- 48688008768000 is an abundant number, because the sum of its proper divisors (170909164684800) is greater than itself. Its abundance is 122221155916800
Bases of 48688008768000
- Binary: 10110001001000000011110111011110101010000000002
- Hexadecimal: 0x2C480F77AA00
- Base-36: H9AYNC000
Squares and roots of 48688008768000
- 48688008768000 squared (486880087680002) is 2370522197792844877824000000
- 48688008768000 cubed (486880087680003) is 115416005550876661659158800760832000000000
-
The
square root of 48688008768000 is 6977679.3253917881 -
The
cube root of 48688008768000 is 36515.2269658463
Scales and comparisons
How big is 48688008768000?- 48,688,008,768,000 seconds is equal to 1,548,128 years, 4 weeks.
-
To count from 1 to 48,688,008,768,000 would take you about three million, eight hundred seventy thousand, three hundred twenty 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 48688008768000 cubic inches would be around 3042.9 feet tall.
Recreational maths with 48688008768000
- 48688008768000 backwards is 00086780088684
- 48688008768000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48688008768000's digits is 63
- More coming soon!
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MLA style:
"Number 48688008768000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 48688008768000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/48688008768000/
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The information we have on file for 48688008768000 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!
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