48768735312000
48,768,735,312,000 is an even composite number composed of seven prime numbers multiplied together.
48768735312000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand and ninety-six divisors.
Prime factorization of 48768735312000:
27 × 37 × 53 × 11 × 17 × 29 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 17 × 29 × 257)See below for interesting mathematical facts about the number 48768735312000 from the Numbermatics database.
Names of 48768735312000
- Cardinal: 48768735312000 can be written as Forty-eight trillion, seven hundred sixty-eight billion, seven hundred thirty-five million, three hundred twelve thousand.
Scientific notation
- Scientific notation: 4.8768735312 × 1013
Factors of 48768735312000
Divisors of 48768735312000
- Number of divisors d(n): 4096
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 27 29 30 32 33 34 36 40 44 45 48 50 51 54 55 58 60 64 66 68 72 75 80 81 85 87 88 90 96 99 100 102 108 110 116 120 125 128 132 135 136 144 145 150 153 160 162 165 170 174 176 180 187 192 198 200 204 216 220 225 232 240 243 250 255 257 261 264 270 272 275 288 290 297 300 306 319 320 324 330 340 348 352 360 374 375 384 396 400 405 408 425 432 435 440 450 459 464 480 486 493 495 500 510 514 522 528 540 544 550 561 576 580 594 600 612 638 640 648 660 675 680 696 704 720 725 729 748 750 765 771 783 792 800 810 816 825 850 864 870 880 891 900 918 928 935 957 960 972 986 990 1000 1020 1028 1044 1056 1080 1088 1100 1122 1125 1152 1160 1188 1200 1215 1224 1275 1276 1285 1296 1305 1320 1350 1360 1375 1377 1392 1408 1440 1450 1458 1479 1485 1496 1500 1530 1542 1566 1584 1595 1600 1620 1632 1650 1683 1700 1728 1740 1760 1782 1800 1836 1856 1870 1914 1920 1944 1972 1980 2000 2025 2040 2056 2088 2112 2125 2160 2175 2176 2187 2200 2244 2250 2295 2313 2320 2349 2376 2400 2430 2448 2465 2475 2550 2552 2570 2592 2610 2640 2673 2700 2720 2750 2754 2784 2805 2827 2871 2880 2900 2916 2958 2970 2992 3000 3060 3084 3132 3168 3190 3200 3240 3264 3300 3366 3375 3400 3456 3480 3520 3564 3600 3625 3645 3672 3712 3740 3825 3828 3855 3888 3915 3944 3960 4000 4050 4080 4112 4125 4131 4176 4224 4250 4320 4350 4369 4374 4400 4437 4455 4488 4500 4590 4626 4640 4675 4698 4752 4785 4800 4860 4896 4930 4950 5049 5100 5104 5140 5184 5220 5280 5346 5400 5423 5440 5500 5508 5568 5610 5654 5742 5760 5800 5832 5916 5940 5984 6000 6075 6120 6168 6264 6336 6375 6380 6425 6480 6525 6528 6600 6732 6750 6800 6885 6939 6960 7040 7047 7128 7200 7250 7290 7344 7395 7425 7453 7480 7650 7656 7710 7776 7830 7888 7920 7975 8000 8019 8100 8160 8224 8250 8262 8352 8415 8481 8500 8613 8640 8700 8738 8748 8800 8874 8910 8976 9000 9180 9252 9280 9350 9396 9504 9570 9600 9720 9792 9860 9900 10098 10125 10200 10208 10280 10368 10440 10560 10692 10800 10846 10875 10880 10935 11000 11016 11136 11220 11308 11475 11484 11565 11600 11664 11745 11832 11880 11968 12000 12150 12240 12325 12336 12375 12393 12528 12672 12750 12760 12850 12960 13050 13107 13200 13311 13365 13464 13500 13600 13770 13878 13920 14025 14094 14135 14256 14355 14400 14500 14580 14688 14790 14850 14906 14960 15147 15300 15312 15420 15552 15660 15776 15840 15950 16000 16038 16200 16269 16320 16448 16500 16524 16704 16830 16962 17000 17226 17280 17400 17476 17496 17600 17748 17820 17952 18000 18225 18360 18504 18560 18700 18792 19008 19125 19140 19275 19440 19575 19584 19720 19800 20196 20250 20400 20416 20560 20655 20817 20880 21120 21141 21384 21600 21692 21750 21845 21870 22000 22032 22185 22275 22359 22440 22616 22950 22968 23130 23200 23328 23375 23490 23664 23760 23925 23936 24000 24057 24300 24480 24650 24672 24750 24786 25056 25245 25443 25500 25520 25700 25839 25920 26100 26214 26400 26622 26730 26928 27000 27115 27200 27540 27756 27840 28050 28188 28270 28512 28710 28800 29000 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177340855680 179296821000 180624945600 184730058000 186853392000 189761616000 191249942400 195074941248 200694384000 203203063800 210210066000 216749934720 221676069600 225781182000 239062428000 243843676560 246306744000 254003829750 260795376000 270937418400 277095087000 280280088000 286874913600 295568092800 301041576000 304804595700 318749904000 325124902080 336336105600 338671773000 358593642000 361249891200 369460116000 381005744625 390149882496 406406127600 420420132000 443352139200 451562364000 478124856000 487687353120 492613488000 508007659500 541874836800 554190174000 560560176000 573749827200 602083152000 609609191400 650249804160 677343546000 717187284000 738920232000 762011489250 812812255200 840840264000 886704278400 903124728000 956249712000 975374706240 1016015319000 1083749673600 1108380348000 1219218382800 1354687092000 1434374568000 1477840464000 1524022978500 1625624510400 1681680528000 1806249456000 1950749412480 2032030638000 2216760696000 2438436765600 2709374184000 2868749136000 3048045957000 3251249020800 4064061276000 4433521392000 4876873531200 5418748368000 6096091914000 8128122552000 9753747062400 12192183828000 16256245104000 24384367656000 48768735312000
- Sum of all divisors σ(n): 218139008256000
- Sum of proper divisors (its aliquot sum) s(n): 169370272944000
- 48768735312000 is an abundant number, because the sum of its proper divisors (169370272944000) is greater than itself. Its abundance is 120601537632000
Bases of 48768735312000
- Binary: 10110001011010110110110010010011111000100000002
- Hexadecimal: 0x2C5ADB24F880
- Base-36: HAC1PU000
Squares and roots of 48768735312000
- 48768735312000 squared (487687353120002) is 2378389543931915737344000000
- 48768735312000 cubed (487687353120003) is 115991050136843994343616849891328000000000
-
The
square root of 48768735312000 is 6983461.5565634783 -
The
cube root of 48768735312000 is 36535.3970275031
Scales and comparisons
How big is 48768735312000?- 48,768,735,312,000 seconds is equal to 1,550,694 years, 48 weeks, 3 days.
-
To count from 1 to 48,768,735,312,000 would take you about three million, eight hundred seventy-six thousand, seven hundred thirty-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 48768735312000 cubic inches would be around 3044.6 feet tall.
Recreational maths with 48768735312000
- 48768735312000 backwards is 00021353786784
- 48768735312000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48768735312000's digits is 54
- More coming soon!
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"Number 48768735312000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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Numbermatics. (2024). Number 48768735312000 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/48768735312000/
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The information we have on file for 48768735312000 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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