48214030427397120
48,214,030,427,397,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48214030427397120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2112 divisors.
48214030427397120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 48214030427397120:
210 × 3 × 5 × 11 × 13 × 793 × 2112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 79 × 79 × 79 × 211 × 211)See below for interesting mathematical facts about the number 48214030427397120 from the Numbermatics database.
Names of 48214030427397120
- Cardinal: 48214030427397120 can be written as Forty-eight quadrillion, two hundred fourteen trillion, thirty billion, four hundred twenty-seven million, three hundred ninety-seven thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.821403042739712 × 1016
Factors of 48214030427397120
Divisors of 48214030427397120
- Number of divisors d(n): 2112
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 32 33 39 40 44 48 52 55 60 64 65 66 78 79 80 88 96 104 110 120 128 130 132 143 156 158 160 165 176 192 195 208 211 220 237 240 256 260 264 286 312 316 320 330 352 384 390 395 416 422 429 440 474 480 512 520 528 572 624 632 633 640 660 704 715 768 780 790 832 844 858 869 880 948 960 1024 1027 1040 1055 1056 1144 1185 1248 1264 1266 1280 1320 1408 1430 1536 1560 1580 1664 1688 1716 1738 1760 1896 1920 2054 2080 2110 2112 2145 2288 2321 2370 2496 2528 2532 2560 2607 2640 2743 2816 2860 3072 3081 3120 3160 3165 3328 3376 3432 3476 3520 3792 3840 4108 4160 4220 4224 4290 4345 4576 4642 4740 4992 5056 5064 5120 5135 5214 5280 5486 5632 5720 6162 6240 6241 6320 6330 6656 6752 6864 6952 6963 7040 7584 7680 8216 8229 8320 8440 8448 8580 8690 9152 9284 9480 9984 10112 10128 10270 10428 10560 10972 11264 11297 11440 11605 12324 12480 12482 12640 12660 13035 13312 13504 13715 13728 13904 13926 14080 15168 15360 15405 16432 16458 16640 16669 16880 16896 17160 17380 18304 18568 18723 18960 19968 20224 20256 20540 20856 21120 21944 22594 22880 23210 24648 24960 24964 25280 25320 26070 27008 27430 27456 27808 27852 28160 30173 30336 30810 31205 32864 32916 33280 33338 33760 33792 33891 34320 34760 34815 36608 37136 37446 37920 39936 40448 40512 41080 41145 41712 42240 43888 44521 45188 45760 46420 49296 49920 49928 50007 50560 50640 52140 54016 54860 54912 55616 55704 56320 56485 60346 60672 61620 62410 65728 65832 66560 66676 67520 67782 68640 68651 69520 69630 73216 74272 74892 75840 80896 81024 81133 82160 82290 83345 83424 84480 87776 89042 90376 90519 91520 92840 93615 98592 99840 99856 100014 101120 101280 104280 108032 109720 109824 111232 111408 112970 120692 121344 123240 124820 131456 131664 133352 133563 135040 135564 137280 137302 139040 139260 146432 148544 149784 150865 151680 162048 162266 164320 164580 166690 166848 168960 169455 175552 178084 180752 181038 183040 183359 185680 187230 197184 199680 199712 200028 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228502513873920 231798223208640 247251438089216 251114741809360 273943354701120 292206245014528 301337690171232 305152091312640 309064297611520 337161051939840 365257806268160 370877157133824 376672112714040 401783586894976 438309367521792 463596446417280 502229483618720 547886709402240 602675380342464 610304182625280 618128595223040 730515612536320 741754314267648 753344225428080 803567173789952 876618735043584 927192892834560 1004458967237440 1095773418804480 1205350760684928 1236257190446080 1461031225072640 1506688450856160 1607134347579904 1854385785669120 2008917934474880 2191546837608960 2410701521369856 3013376901712320 3214268695159808 3708771571338240 4017835868949760 4383093675217920 4821403042739712 6026753803424640 8035671737899520 9642806085479424 12053507606849280 16071343475799040 24107015213698560 48214030427397120
- Sum of all divisors σ(n): 184365706659563520
- Sum of proper divisors (its aliquot sum) s(n): 136151676232166400
- 48214030427397120 is an abundant number, because the sum of its proper divisors (136151676232166400) is greater than itself. Its abundance is 87937645804769280
Bases of 48214030427397120
- Binary: 101010110100101001100111101111001101000010011100000000002
- Hexadecimal: 0xAB4A67BCD09C00
- Base-36: D6QG3SZ3H1C
Squares and roots of 48214030427397120
- 48214030427397120 squared (482140304273971202) is 2324592730053975313855498184294400
- 48214030427397120 cubed (482140304273971203) is 112077984618128505399494898815451750564655792128000
-
The
square root of 48214030427397120 is 219576935.0988330013 -
The
cube root of 48214030427397120 is 363963.4831020847
Scales and comparisons
How big is 48214030427397120?- 48,214,030,427,397,120 seconds is equal to 1,533,057,031 years, 41 weeks, 5 days, 8 hours, 32 minutes.
-
To count from 1 to 48,214,030,427,397,120 would take you about four billion, five hundred ninety-nine million, one hundred seventy-one thousand and ninety-five 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 48214030427397120 cubic inches would be around 30330.3 feet tall.
Recreational maths with 48214030427397120
- 48214030427397120 backwards is 02179372403041284
- The number of decimal digits it has is: 17
- The sum of 48214030427397120's digits is 57
- More coming soon!
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"Number 48214030427397120 - Facts about the integer". Numbermatics.com. 2024. Web. 26 June 2024.
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Numbermatics. (2024). Number 48214030427397120 - Facts about the integer. Retrieved 26 June 2024, from https://numbermatics.com/n/48214030427397120/
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The information we have on file for 48214030427397120 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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