48513635708928000
48,513,635,708,928,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48513635708928000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2048 divisors.
48513635708928000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 48513635708928000:
215 × 3 × 53 × 13 × 173 × 353 × 4973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 173 × 353 × 4973)See below for interesting mathematical facts about the number 48513635708928000 from the Numbermatics database.
Names of 48513635708928000
- Cardinal: 48513635708928000 can be written as Forty-eight quadrillion, five hundred thirteen trillion, six hundred thirty-five billion, seven hundred eight million, nine hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 4.8513635708928 × 1016
Factors of 48513635708928000
Divisors of 48513635708928000
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 125 128 130 150 156 160 173 192 195 200 208 240 250 256 260 300 312 320 325 346 353 375 384 390 400 416 480 500 512 519 520 600 624 640 650 692 706 750 768 780 800 832 865 960 975 1000 1024 1038 1040 1059 1200 1248 1280 1300 1384 1412 1500 1536 1560 1600 1625 1664 1730 1765 1920 1950 2000 2048 2076 2080 2118 2249 2400 2496 2560 2595 2600 2768 2824 3000 3072 3120 3200 3250 3328 3460 3530 3840 3900 4000 4096 4152 4160 4236 4325 4498 4589 4800 4875 4973 4992 5120 5190 5200 5295 5536 5648 6000 6144 6240 6400 6500 6656 6747 6920 7060 7680 7800 8000 8192 8304 8320 8472 8650 8825 8996 9178 9600 9750 9946 9984 10240 10380 10400 10590 11072 11245 11296 12000 12288 12480 12800 12975 13000 13312 13494 13767 13840 14120 14919 15360 15600 16000 16384 16608 16640 16944 17300 17650 17992 18356 19200 19500 19892 19968 20480 20760 20800 21180 21625 22144 22490 22592 22945 24000 24576 24865 24960 25600 25950 26000 26475 26624 26988 27534 27680 28240 29838 30720 31200 32000 32768 33216 33280 33735 33888 34600 35300 35984 36712 38400 39000 39784 39936 40960 41520 41600 42360 43250 44125 44288 44980 45184 45890 48000 49152 49730 49920 51200 51900 52000 52950 53248 53976 55068 55360 56225 56480 59676 61069 61440 62400 64000 64649 64875 66432 66560 67470 67776 68835 69200 70600 71968 73424 74595 76800 78000 79568 79872 81920 83040 83200 84720 86500 88250 88576 89960 90368 91780 96000 98304 99460 99840 102400 103800 104000 105900 106496 107952 110136 110720 112450 112960 114725 119352 122138 122880 124325 124800 128000 129298 129750 132375 132864 133120 134940 135552 137670 138400 141200 143936 146848 149190 153600 156000 159136 159744 163840 166080 166400 168675 169440 173000 176500 177152 179920 180736 183207 183560 192000 193947 198920 199680 204800 207600 208000 211800 212992 215904 220272 221440 224900 225920 229450 238704 244276 245760 248650 249600 256000 258596 259500 264750 265728 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2425681785446400 3032102231808000 3234242380595200 3731818131456000 4042802975744000 4851363570892800 6064204463616000 8085605951488000 9702727141785600 12128408927232000 16171211902976000 24256817854464000 48513635708928000
- Sum of all divisors σ(n): 175405909308215040
- Sum of proper divisors (its aliquot sum) s(n): 126892273599287040
- 48513635708928000 is an abundant number, because the sum of its proper divisors (126892273599287040) is greater than itself. Its abundance is 78378637890359040
Bases of 48513635708928000
- Binary: 101011000101101011100101000001110011000110000000000000002
- Hexadecimal: 0xAC5AE507318000
- Base-36: D9ONCKK52IO
Squares and roots of 48513635708928000
- 48513635708928000 squared (485136357089280002) is 2353572849698573969138909184000000
- 48513635708928000 cubed (485136357089280003) is 114180375844700170750416951244432449994752000000000
-
The
square root of 48513635708928000 is 220258111.5621579101 -
The
cube root of 48513635708928000 is 364715.8248692031
Scales and comparisons
How big is 48513635708928000?- 48,513,635,708,928,000 seconds is equal to 1,542,583,553 years, 5 days, 18 hours, 40 minutes.
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To count from 1 to 48,513,635,708,928,000 would take you about four billion, six hundred twenty-seven million, seven hundred fifty thousand, six hundred fifty-nine 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 48513635708928000 cubic inches would be around 30393 feet tall.
Recreational maths with 48513635708928000
- 48513635708928000 backwards is 00082980753631584
- The number of decimal digits it has is: 17
- The sum of 48513635708928000's digits is 69
- More coming soon!
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The information we have on file for 48513635708928000 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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