48668440128000
48,668,440,128,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48668440128000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3840 divisors.
48668440128000 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 48668440128000:
29 × 3 × 53 × 73 × 11 × 232 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 23 × 23 × 127)See below for interesting mathematical facts about the number 48668440128000 from the Numbermatics database.
Names of 48668440128000
- Cardinal: 48668440128000 can be written as Forty-eight trillion, six hundred sixty-eight billion, four hundred forty million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.8668440128 × 1013
Factors of 48668440128000
Divisors of 48668440128000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 23 24 25 28 30 32 33 35 40 42 44 46 48 49 50 55 56 60 64 66 69 70 75 77 80 84 88 92 96 98 100 105 110 112 115 120 125 127 128 132 138 140 147 150 154 160 161 165 168 175 176 184 192 196 200 210 220 224 230 231 240 245 250 253 254 256 264 275 276 280 294 300 308 320 322 330 336 343 345 350 352 368 375 381 384 385 392 400 420 440 448 460 462 480 483 490 500 506 508 512 525 528 529 539 550 552 560 575 588 600 616 635 640 644 660 672 686 690 700 704 735 736 750 759 762 768 770 784 800 805 825 840 875 880 889 896 920 924 960 966 980 1000 1012 1016 1029 1050 1056 1058 1078 1100 1104 1120 1127 1150 1155 1176 1200 1225 1232 1265 1270 1280 1288 1320 1344 1372 1375 1380 1397 1400 1408 1470 1472 1500 1518 1524 1536 1540 1568 1587 1600 1610 1617 1650 1680 1715 1725 1750 1760 1771 1778 1792 1840 1848 1905 1920 1925 1932 1960 2000 2024 2032 2058 2100 2112 2116 2156 2200 2208 2240 2254 2300 2310 2352 2400 2415 2450 2464 2530 2540 2560 2576 2625 2640 2645 2667 2688 2695 2744 2750 2760 2794 2800 2816 2875 2921 2940 2944 3000 3036 3048 3080 3136 3174 3175 3200 3220 3234 3300 3360 3381 3430 3450 3500 3520 3542 3556 3584 3675 3680 3696 3703 3773 3795 3810 3840 3850 3864 3920 4000 4025 4048 4064 4116 4125 4191 4200 4224 4232 4312 4400 4416 4445 4480 4508 4600 4620 4704 4800 4830 4900 4928 5060 5080 5145 5152 5250 5280 5290 5313 5334 5376 5390 5488 5500 5520 5588 5600 5632 5635 5750 5775 5819 5842 5880 5888 6000 6072 6096 6125 6160 6223 6272 6325 6348 6350 6400 6440 6468 6600 6720 6762 6860 6900 6985 7000 7040 7084 7112 7350 7360 7392 7406 7546 7590 7620 7680 7700 7728 7840 7889 7935 8000 8050 8085 8096 8128 8232 8250 8382 8400 8448 8464 8575 8624 8625 8763 8800 8832 8855 8890 8960 9016 9200 9240 9408 9525 9600 9625 9660 9779 9800 9856 10120 10160 10290 10304 10500 10560 10580 10626 10668 10752 10780 10976 11000 11040 11109 11176 11200 11270 11319 11500 11550 11638 11684 11760 11776 12000 12075 12144 12192 12250 12320 12397 12446 12544 12650 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194673760512 198646694400 202785167200 210685888000 211601913600 217269822000 221220182400 231754476800 243342200640 248308368000 253481459000 264502392000 276525228000 278105372160 289693096000 294960243200 302288448000 304177750800 316028832000 324456267520 331077824000 347631715200 352669856000 368700304000 380222188500 383216064000 389347521024 405570334400 423203827200 434539644000 442440364800 463508953600 486684401280 496616736000 506962918000 529004784000 553050456000 579386192000 608355501600 632057664000 648912535040 695263430400 705339712000 737400608000 760444377000 811140668800 869079288000 884880729600 973368802560 993233472000 1013925836000 1058009568000 1106100912000 1158772384000 1216711003200 1390526860800 1474801216000 1520888754000 1622281337600 1738158576000 1946737605120 2027851672000 2116019136000 2212201824000 2317544768000 2433422006400 3041777508000 3244562675200 3476317152000 4055703344000 4424403648000 4866844012800 6083555016000 6952634304000 8111406688000 9733688025600 12167110032000 16222813376000 24334220064000 48668440128000
- Sum of all divisors σ(n): 216888518246400
- Sum of proper divisors (its aliquot sum) s(n): 168220078118400
- 48668440128000 is an abundant number, because the sum of its proper divisors (168220078118400) is greater than itself. Its abundance is 119551637990400
Bases of 48668440128000
- Binary: 10110001000011100000010001010111101010000000002
- Hexadecimal: 0x2C438115EA00
- Base-36: H91Z0O4QO
Squares and roots of 48668440128000
- 48668440128000 squared (486684401280002) is 2368617064492720656384000000
- 48668440128000 cubed (486684401280003) is 115276897789423089957053564977152000000000
-
The
square root of 48668440128000 is 6976276.9532179555 -
The
cube root of 48668440128000 is 36510.3342547431
Scales and comparisons
How big is 48668440128000?- 48,668,440,128,000 seconds is equal to 1,547,505 years, 44 weeks, 3 days, 2 hours, 40 minutes.
-
To count from 1 to 48,668,440,128,000 would take you about three million, eight hundred sixty-eight thousand, seven hundred sixty-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 48668440128000 cubic inches would be around 3042.5 feet tall.
Recreational maths with 48668440128000
- 48668440128000 backwards is 00082104486684
- The number of decimal digits it has is: 14
- The sum of 48668440128000's digits is 51
- More coming soon!
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Cite this page
MLA style:
"Number 48668440128000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 48668440128000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/48668440128000/
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The information we have on file for 48668440128000 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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