12829324050432000
12,829,324,050,432,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 12829324050432000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2736 divisors.
12829324050432000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, seven hundred thirty-six divisors.
Prime factorization of 12829324050432000:
218 × 35 × 53 × 612 × 433
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 61 × 61 × 433)See below for interesting mathematical facts about the number 12829324050432000 from the Numbermatics database.
Names of 12829324050432000
- Cardinal: 12829324050432000 can be written as Twelve quadrillion, eight hundred twenty-nine trillion, three hundred twenty-four billion, fifty million, four hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.2829324050432 × 1016
Factors of 12829324050432000
Divisors of 12829324050432000
- Number of divisors d(n): 2736
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 61 64 72 75 80 81 90 96 100 108 120 122 125 128 135 144 150 160 162 180 183 192 200 216 225 240 243 244 250 256 270 288 300 305 320 324 360 366 375 384 400 405 432 433 450 480 486 488 500 512 540 549 576 600 610 640 648 675 720 732 750 768 800 810 864 866 900 915 960 972 976 1000 1024 1080 1098 1125 1152 1200 1215 1220 1280 1296 1299 1350 1440 1464 1500 1525 1536 1600 1620 1647 1728 1732 1800 1830 1920 1944 1952 2000 2025 2048 2160 2165 2196 2250 2304 2400 2430 2440 2560 2592 2598 2700 2745 2880 2928 3000 3050 3072 3200 3240 3294 3375 3456 3464 3600 3660 3721 3840 3888 3897 3904 4000 4050 4096 4320 4330 4392 4500 4575 4608 4800 4860 4880 4941 5120 5184 5196 5400 5490 5760 5856 6000 6075 6100 6144 6400 6480 6495 6588 6750 6912 6928 7200 7320 7442 7625 7680 7776 7794 7808 8000 8100 8192 8235 8640 8660 8784 9000 9150 9216 9600 9720 9760 9882 10125 10240 10368 10392 10800 10825 10980 11163 11520 11691 11712 12000 12150 12200 12288 12800 12960 12990 13176 13500 13725 13824 13856 14400 14640 14823 14884 15250 15360 15552 15588 15616 16000 16200 16384 16470 17280 17320 17568 18000 18300 18432 18605 19200 19440 19485 19520 19764 20250 20480 20736 20784 21600 21650 21960 22326 22875 23040 23382 23424 24000 24300 24400 24576 24705 25600 25920 25980 26352 26413 27000 27450 27648 27712 28800 29280 29646 29768 30375 30500 30720 31104 31176 31232 32000 32400 32475 32768 32940 33489 34560 34640 35073 35136 36000 36600 36864 37210 38400 38880 38970 39040 39528 40500 40960 41175 41472 41568 43200 43300 43920 44652 45750 46080 46764 46848 48000 48600 48800 49152 49410 51200 51840 51960 52704 52826 54000 54125 54900 55296 55424 55815 57600 58455 58560 59292 59536 60750 61000 61440 62208 62352 62464 64000 64800 64950 65536 65880 66978 68625 69120 69280 70146 70272 72000 73200 73728 74115 74420 76800 77760 77940 78080 79056 79239 81000 81920 82350 82944 83136 86400 86600 87840 89304 91500 92160 93025 93528 93696 96000 97200 97425 97600 98304 98820 100467 102400 103680 103920 105219 105408 105652 108000 108250 109800 110592 110848 111630 115200 116910 117120 118584 119072 121500 122000 122880 123525 124416 124704 124928 128000 129600 129900 131072 131760 132065 133956 137250 138240 138560 140292 140544 144000 146400 147456 148230 148840 153600 155520 155880 156160 158112 158478 162000 162375 163840 164700 165888 166272 167445 172800 173200 175365 175680 178608 183000 184320 186050 187056 187392 192000 194400 194850 195200 196608 197640 200934 204800 205875 207360 207840 210438 210816 211304 216000 216500 219600 221184 221696 223260 230400 233820 234240 237168 237717 238144 243000 244000 245760 247050 248832 249408 249856 256000 259200 259800 262144 263520 264130 267912 274500 276480 277120 279075 280584 281088 288000 292275 292800 294912 296460 297680 301401 307200 311040 311760 312320 316224 316956 324000 324750 327680 329400 331776 332544 334890 345600 346400 350730 351360 357216 366000 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4206335754240 4276441350144 4381599744000 4454626406400 4673706393600 4751601500160 4938153984000 4949584896000 5011454707200 5257919692800 5279557222400 5345551687680 5568283008000 5701921800192 5842132992000 5925784780800 5939501875200 6264318384000 6335468666880 6414662025216 6572399616000 6599446528000 6681939609600 7010559590400 7127402250240 7407230976000 7424377344000 7789510656000 7919335833600 8018327531520 8352424512000 8412671508480 8552882700288 8763199488000 8909252812800 9503203000320 9876307968000 9899169792000 10022909414400 10515839385600 10559114444800 10691103375360 11136566016000 11403843600384 11684265984000 11879003750400 12528636768000 12829324050432 13144799232000 13198893056000 13363879219200 14021119180800 14254804500480 14814461952000 14848754688000 15838671667200 16036655063040 16704849024000 17105765400576 17526398976000 17818505625600 19006406000640 19798339584000 20045818828800 21031678771200 21382206750720 22273132032000 23368531968000 23758007500800 25057273536000 25658648100864 26289598464000 26397786112000 26727758438400 28509609000960 29628923904000 29697509376000 31677343334400 32073310126080 33409698048000 34211530801152 35052797952000 35637011251200 39596679168000 40091637657600 42063357542400 42764413501440 44546264064000 47516015001600 50114547072000 51317296201728 52579196928000 52795572224000 53455516876800 57019218001920 59395018752000 64146620252160 66819396096000 70105595904000 71274022502400 79193358336000 80183275315200 85528827002880 89092528128000 95032030003200 100229094144000 102634592403456 105158393856000 106911033753600 118790037504000 128293240504320 133638792192000 142548045004800 158386716672000 160366550630400 171057654005760 178185056256000 200458188288000 210316787712000 213822067507200 237580075008000 256586481008640 267277584384000 285096090009600 320733101260800 356370112512000 400916376576000 427644135014400 475160150016000 513172962017280 534555168768000 641466202521600 712740225024000 801832753152000 855288270028800 1069110337536000 1282932405043200 1425480450048000 1603665506304000 2138220675072000 2565864810086400 3207331012608000 4276441350144000 6414662025216000 12829324050432000
- Sum of all divisors σ(n): 48878868301020576
- Sum of proper divisors (its aliquot sum) s(n): 36049544250588576
- 12829324050432000 is an abundant number, because the sum of its proper divisors (36049544250588576) is greater than itself. Its abundance is 23220220200156576
Bases of 12829324050432000
- Binary: 1011011001010000110011110001101011110000000000000000002
- Hexadecimal: 0x2D9433C6BC0000
- Base-36: 3IBM63SAO00
Squares and roots of 12829324050432000
- 12829324050432000 squared (128293240504320002) is 164591555590992938479386624000000
- 12829324050432000 cubed (128293240504320003) is 2111598402641541221029074193954602221568000000000
-
The
square root of 12829324050432000 is 113266606.0691852811 -
The
cube root of 12829324050432000 is 234099.9162416859
Scales and comparisons
How big is 12829324050432000?- 12,829,324,050,432,000 seconds is equal to 407,932,821 years, 5 weeks, 1 day.
-
To count from 1 to 12,829,324,050,432,000 would take you about one billion, two hundred twenty-three million, seven hundred ninety-eight thousand, four hundred sixty-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 12829324050432000 cubic inches would be around 19508.3 feet tall.
Recreational maths with 12829324050432000
- 12829324050432000 backwards is 00023405042392821
- 12829324050432000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12829324050432000's digits is 45
- More coming soon!
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"Number 12829324050432000 - Facts about the integer". Numbermatics.com. 2024. Web. 30 May 2024.
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Numbermatics. (2024). Number 12829324050432000 - Facts about the integer. Retrieved 30 May 2024, from https://numbermatics.com/n/12829324050432000/
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The information we have on file for 12829324050432000 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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