48768132002400000
48,768,132,002,400,000 is an even composite number composed of six prime numbers multiplied together.
48768132002400000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six thousand, nine hundred twelve divisors.
Prime factorization of 48768132002400000:
28 × 33 × 55 × 173 × 193 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 17 × 17 × 17 × 19 × 19 × 19 × 67)See below for interesting mathematical facts about the number 48768132002400000 from the Numbermatics database.
Names of 48768132002400000
- Cardinal: 48768132002400000 can be written as Forty-eight quadrillion, seven hundred sixty-eight trillion, one hundred thirty-two billion, two million, four hundred thousand.
Scientific notation
- Scientific notation: 4.87681320024 × 1016
Factors of 48768132002400000
Divisors of 48768132002400000
- Number of divisors d(n): 6912
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 19 20 24 25 27 30 32 34 36 38 40 45 48 50 51 54 57 60 64 67 68 72 75 76 80 85 90 95 96 100 102 108 114 120 125 128 134 135 136 144 150 152 153 160 170 171 180 190 192 200 201 204 216 225 228 240 250 255 256 268 270 272 285 288 289 300 304 306 320 323 335 340 342 360 361 375 380 384 400 402 408 425 432 450 456 459 475 480 500 510 513 536 540 544 570 576 578 600 603 608 612 625 640 646 670 675 680 684 720 722 750 760 765 768 800 804 816 850 855 864 867 900 912 918 950 960 969 1000 1005 1020 1026 1072 1080 1083 1088 1125 1139 1140 1152 1156 1200 1206 1216 1224 1250 1273 1275 1280 1292 1340 1350 1360 1368 1425 1440 1444 1445 1500 1520 1530 1600 1608 1615 1632 1675 1700 1710 1728 1734 1800 1805 1809 1824 1836 1875 1900 1920 1938 2000 2010 2040 2052 2125 2144 2160 2166 2176 2250 2278 2280 2295 2304 2312 2375 2400 2412 2432 2448 2500 2546 2550 2565 2584 2601 2680 2700 2720 2736 2850 2880 2888 2890 2907 3000 3015 3040 3060 3125 3200 3216 3230 3249 3264 3350 3375 3400 3417 3420 3456 3468 3600 3610 3618 3648 3672 3750 3800 3819 3825 3840 3876 4000 4020 4080 4104 4250 4275 4288 4320 4332 4335 4352 4500 4556 4560 4590 4624 4750 4800 4824 4845 4864 4896 4913 5000 5025 5092 5100 5130 5168 5202 5360 5400 5415 5440 5472 5491 5625 5695 5700 5760 5776 5780 5814 6000 6030 6080 6120 6137 6250 6365 6375 6400 6432 6460 6498 6528 6700 6750 6800 6834 6840 6859 6912 6936 7125 7200 7220 7225 7236 7296 7344 7500 7600 7638 7650 7752 7803 8000 8040 8075 8160 8208 8375 8500 8550 8576 8640 8664 8670 8721 9000 9025 9045 9112 9120 9180 9248 9375 9500 9600 9648 9690 9747 9792 9826 10000 10050 10184 10200 10251 10260 10336 10404 10625 10720 10800 10830 10880 10944 10982 11250 11390 11400 11457 11475 11520 11552 11560 11628 11875 12000 12060 12160 12240 12274 12500 12730 12750 12825 12864 12920 12996 13005 13056 13400 13500 13600 13668 13680 13718 13872 14250 14400 14440 14450 14472 14535 14592 14688 14739 15000 15075 15200 15276 15300 15504 15606 16000 16080 16150 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4876813200240000 5418681333600000 6096016500300000 8128022000400000 9753626400480000 12192033000600000 16256044000800000 24384066001200000 48768132002400000
- Sum of all divisors σ(n): 205178151257856000
- Sum of proper divisors (its aliquot sum) s(n): 156410019255456000
- 48768132002400000 is an abundant number, because the sum of its proper divisors (156410019255456000) is greater than itself. Its abundance is 107641887253056000
Bases of 48768132002400000
- Binary: 101011010100001001011011100100000101110011000111000000002
- Hexadecimal: 0xAD425B905CC700
- Base-36: DC6UYJYDHC0
Squares and roots of 48768132002400000
- 48768132002400000 squared (487681320024000002) is 2378330699003511033605760000000000
- 48768132002400000 cubed (487681320024000003) is 115986745474363488227950566120973824000000000000000
-
The
square root of 48768132002400000 is 220835078.7406747115 -
The
cube root of 48768132002400000 is 365352.4636918671
Scales and comparisons
How big is 48768132002400000?- 48,768,132,002,400,000 seconds is equal to 1,550,675,747 years, 48 weeks, 6 days.
-
To count from 1 to 48,768,132,002,400,000 would take you about four billion, six hundred fifty-two million, twenty-seven thousand, two hundred forty-three 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 48768132002400000 cubic inches would be around 30446 feet tall.
Recreational maths with 48768132002400000
- 48768132002400000 backwards is 00000420023186784
- 48768132002400000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48768132002400000's digits is 45
- More coming soon!
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"Number 48768132002400000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 48768132002400000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/48768132002400000/
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The information we have on file for 48768132002400000 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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