48648142861920
48,648,142,861,920 is an even composite number composed of eight prime numbers multiplied together.
48648142861920 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 48648142861920:
25 × 34 × 5 × 72 × 19 × 61 × 157 × 421
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 19 × 61 × 157 × 421)See below for interesting mathematical facts about the number 48648142861920 from the Numbermatics database.
Names of 48648142861920
- Cardinal: 48648142861920 can be written as Forty-eight trillion, six hundred forty-eight billion, one hundred forty-two million, eight hundred sixty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.864814286192 × 1013
Factors of 48648142861920
Divisors of 48648142861920
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 27 28 30 32 35 36 38 40 42 45 48 49 54 56 57 60 61 63 70 72 76 80 81 84 90 95 96 98 105 108 112 114 120 122 126 133 135 140 144 147 152 157 160 162 168 171 180 183 189 190 196 210 216 224 228 240 244 245 252 266 270 280 285 288 294 304 305 314 315 324 336 342 360 366 378 380 392 399 405 420 421 427 432 441 456 471 480 488 490 504 513 532 540 549 560 567 570 588 608 610 628 630 648 665 672 684 720 732 735 756 760 784 785 798 810 840 842 854 855 864 882 912 915 931 942 945 976 980 1008 1026 1064 1080 1098 1099 1120 1134 1140 1159 1176 1197 1220 1256 1260 1263 1281 1296 1323 1330 1368 1413 1440 1464 1470 1512 1520 1539 1568 1570 1596 1620 1647 1680 1684 1708 1710 1764 1824 1830 1862 1884 1890 1952 1960 1995 2016 2052 2105 2128 2135 2160 2196 2198 2205 2268 2280 2318 2352 2355 2394 2440 2512 2520 2526 2562 2565 2592 2646 2660 2736 2745 2793 2826 2835 2928 2940 2947 2983 2989 3024 3040 3078 3140 3192 3240 3294 3297 3360 3368 3416 3420 3477 3528 3591 3660 3724 3768 3780 3789 3843 3920 3969 3990 4104 4210 4239 4256 4270 4320 4392 4396 4410 4536 4560 4636 4655 4704 4710 4788 4880 4941 5024 5040 5052 5124 5130 5292 5320 5472 5490 5495 5586 5652 5670 5795 5856 5880 5894 5966 5978 5985 6048 6156 6280 6315 6384 6405 6480 6588 6594 6615 6736 6832 6840 6954 7056 7065 7182 7320 7448 7536 7560 7578 7686 7693 7695 7840 7938 7980 7999 8113 8208 8235 8379 8420 8478 8540 8784 8792 8820 8841 8949 8967 9072 9120 9272 9310 9420 9576 9577 9760 9882 9891 10080 10104 10248 10260 10431 10584 10640 10773 10980 10990 11172 11304 11340 11367 11529 11590 11760 11788 11932 11956 11970 12312 12560 12630 12717 12768 12810 12960 13176 13188 13230 13472 13664 13680 13908 13965 14112 14130 14364 14640 14735 14896 14915 14945 15072 15120 15156 15372 15386 15390 15876 15960 15998 16226 16416 16470 16485 16758 16840 16956 17080 17385 17568 17584 17640 17682 17898 17934 17955 18144 18544 18620 18840 18945 19152 19154 19215 19764 19782 19845 20208 20496 20520 20629 20862 20881 21168 21195 21280 21546 21960 21980 22344 22608 22680 22734 23058 23079 23180 23520 23576 23864 23912 23940 23997 24339 24624 24705 25120 25137 25260 25434 25620 25681 26352 26376 26460 26523 26847 26901 27360 27816 27930 28260 28728 28731 29280 29470 29673 29792 29830 29890 30240 30312 30744 30772 30780 31293 31752 31920 31996 32452 32940 32970 33516 33680 33912 34101 34160 34587 34770 35168 35280 35364 35796 35868 35910 37088 37240 37680 37890 38304 38308 38430 38465 39528 39564 39690 39995 40416 40565 40992 41040 41258 41724 41762 41895 42336 42390 43092 43920 43960 44205 44688 44745 44835 45216 45360 45468 46116 46158 46360 47152 47728 47824 47880 47885 47994 48678 49248 49410 49455 50274 50520 50868 51240 51362 52155 52704 52752 52920 53046 53694 53802 53865 55632 55860 55993 56520 56791 56835 57456 57462 57645 58940 59346 59660 59780 60624 61488 61544 61560 61887 62586 62643 63504 63585 63840 63992 64904 65880 65940 66097 67032 67039 67360 67824 68202 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12162035715480 16216047620640 24324071430960 48648142861920
- Sum of all divisors σ(n): 215547628443840
- Sum of proper divisors (its aliquot sum) s(n): 166899485581920
- 48648142861920 is an abundant number, because the sum of its proper divisors (166899485581920) is greater than itself. Its abundance is 118251342720000
Bases of 48648142861920
- Binary: 10110000111110110001110100011000110110011000002
- Hexadecimal: 0x2C3EC7463660
- Base-36: H8SNC7A00
Squares and roots of 48648142861920
- 48648142861920 squared (486481428619202) is 2366641803913777848186086400
- 48648142861920 cubed (486481428619203) is 115132728579789524144374576520020389888000
-
The
square root of 48648142861920 is 6974822.0666852855 -
The
cube root of 48648142861920 is 36505.2579807339
Scales and comparisons
How big is 48648142861920?- 48,648,142,861,920 seconds is equal to 1,546,860 years, 24 weeks, 1 day, 1 hour, 12 minutes.
-
To count from 1 to 48,648,142,861,920 would take you about three million, eight hundred sixty-seven thousand, one hundred fifty-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 48648142861920 cubic inches would be around 3042.1 feet tall.
Recreational maths with 48648142861920
- 48648142861920 backwards is 02916824184684
- 48648142861920 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48648142861920's digits is 63
- More coming soon!
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"Number 48648142861920 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 48648142861920 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/48648142861920/
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The information we have on file for 48648142861920 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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