12804863164416000
12,804,863,164,416,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 12804863164416000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1512 divisors.
12804863164416000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 12804863164416000:
220 × 32 × 53 × 1272 × 673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 127 × 127 × 673)See below for interesting mathematical facts about the number 12804863164416000 from the Numbermatics database.
Names of 12804863164416000
- Cardinal: 12804863164416000 can be written as Twelve quadrillion, eight hundred four trillion, eight hundred sixty-three billion, one hundred sixty-four million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.2804863164416 × 1016
Factors of 12804863164416000
Divisors of 12804863164416000
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 127 128 144 150 160 180 192 200 225 240 250 254 256 288 300 320 360 375 381 384 400 450 480 500 508 512 576 600 635 640 673 720 750 762 768 800 900 960 1000 1016 1024 1125 1143 1152 1200 1270 1280 1346 1440 1500 1524 1536 1600 1800 1905 1920 2000 2019 2032 2048 2250 2286 2304 2400 2540 2560 2692 2880 3000 3048 3072 3175 3200 3365 3600 3810 3840 4000 4038 4064 4096 4500 4572 4608 4800 5080 5120 5384 5715 5760 6000 6057 6096 6144 6350 6400 6730 7200 7620 7680 8000 8076 8128 8192 9000 9144 9216 9525 9600 10095 10160 10240 10768 11430 11520 12000 12114 12192 12288 12700 12800 13460 14400 15240 15360 15875 16000 16129 16152 16256 16384 16825 18000 18288 18432 19050 19200 20190 20320 20480 21536 22860 23040 24000 24228 24384 24576 25400 25600 26920 28575 28800 30285 30480 30720 31750 32000 32258 32304 32512 32768 33650 36000 36576 36864 38100 38400 40380 40640 40960 43072 45720 46080 47625 48000 48387 48456 48768 49152 50475 50800 51200 53840 57150 57600 60570 60960 61440 63500 64000 64516 64608 65024 65536 67300 72000 73152 73728 76200 76800 80645 80760 81280 81920 84125 85471 86144 91440 92160 95250 96000 96774 96912 97536 98304 100950 101600 102400 107680 114300 115200 121140 121920 122880 127000 128000 129032 129216 130048 131072 134600 142875 144000 145161 146304 147456 151425 152400 153600 161290 161520 162560 163840 168250 170942 172288 182880 184320 190500 192000 193548 193824 195072 196608 201900 203200 204800 215360 228600 230400 241935 242280 243840 245760 252375 254000 256000 256413 258064 258432 260096 262144 269200 285750 288000 290322 292608 294912 302850 304800 307200 322580 323040 325120 327680 336500 341884 344576 365760 368640 381000 384000 387096 387648 390144 393216 403225 403800 406400 409600 427355 430720 457200 460800 483870 484560 487680 491520 504750 508000 512000 512826 516128 516864 520192 524288 538400 571500 576000 580644 585216 589824 605700 609600 614400 645160 646080 650240 655360 673000 683768 689152 725805 731520 737280 757125 762000 768000 769239 774192 775296 780288 786432 806450 807600 812800 819200 854710 861440 914400 921600 967740 969120 975360 983040 1009500 1016000 1024000 1025652 1032256 1033728 1040384 1048576 1076800 1143000 1152000 1161288 1170432 1179648 1209675 1211400 1219200 1228800 1282065 1290320 1292160 1300480 1310720 1346000 1367536 1378304 1451610 1463040 1474560 1514250 1524000 1536000 1538478 1548384 1550592 1560576 1572864 1612900 1615200 1625600 1638400 1709420 1722880 1828800 1843200 1935480 1938240 1950720 1966080 2016125 2019000 2032000 2048000 2051304 2064512 2067456 2080768 2136775 2153600 2286000 2304000 2322576 2340864 2359296 2419350 2422800 2438400 2457600 2564130 2580640 2584320 2600960 2621440 2692000 2735072 2756608 2903220 2926080 2949120 3028500 3048000 3072000 3076956 3096768 3101184 3121152 3145728 3225800 3230400 3251200 3276800 3418840 3445760 3629025 3657600 3686400 3846195 3870960 3876480 3901440 3932160 4032250 4038000 4064000 4096000 4102608 4129024 4134912 4161536 4273550 4307200 4572000 4608000 4645152 4681728 4718592 4838700 4845600 4876800 4915200 5128260 5161280 5168640 5201920 5242880 5384000 5470144 5513216 5806440 5852160 5898240 6048375 6057000 6096000 6144000 6153912 6193536 6202368 6242304 6410325 6451600 6460800 6502400 6553600 6837680 6891520 7258050 7315200 7372800 7692390 7741920 7752960 7802880 7864320 8064500 8076000 8128000 8192000 8205216 8258048 8269824 8323072 8547100 8614400 9144000 9216000 9290304 9363456 9437184 9677400 9691200 9753600 9830400 10256520 10322560 10337280 10403840 10683875 10768000 10854817 10940288 11026432 11612880 11704320 11796480 12096750 12114000 12192000 12288000 12307824 12387072 12404736 12484608 12820650 12903200 12921600 13004800 13107200 13675360 13783040 14516100 14630400 14745600 15384780 15483840 15505920 15605760 15728640 16129000 16152000 16256000 16384000 16410432 16516096 16539648 16646144 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5335359651840 5557666304000 5601427456000 5691050295296 6252374592000 6301605888000 6342180864000 6402431582208 6669199564800 6721712947200 7113812869120 8003039477760 8336499456000 8402141184000 8536575442944 8892266086400 9513271296000 10003799347200 10082569420800 10670719303680 11115332608000 11202854912000 11382100590592 12504749184000 12603211776000 12804863164416 13338399129600 14227625738240 16006078955520 16672998912000 16804282368000 17073150885888 17784532172800 19026542592000 20007598694400 20165138841600 21341438607360 22230665216000 25009498368000 25206423552000 25609726328832 26676798259200 28455251476480 32012157911040 33345997824000 33608564736000 34146301771776 35569064345600 40015197388800 42682877214720 44461330432000 50018996736000 50412847104000 51219452657664 53353596518400 56910502952960 64024315822080 66691995648000 71138128691200 80030394777600 85365754429440 88922660864000 100037993472000 100825694208000 102438905315328 106707193036800 128048631644160 133383991296000 142276257382400 160060789555200 170731508858880 177845321728000 200075986944000 213414386073600 256097263288320 266767982592000 284552514764800 320121579110400 355690643456000 400151973888000 426828772147200 512194526576640 533535965184000 640243158220800 711381286912000 800303947776000 853657544294400 1067071930368000 1280486316441600 1422762573824000 1600607895552000 2134143860736000 2560972632883200 3201215791104000 4268287721472000 6402431582208000 12804863164416000
- Sum of all divisors σ(n): 46601291711041704
- Sum of proper divisors (its aliquot sum) s(n): 33796428546625704
- 12804863164416000 is an abundant number, because the sum of its proper divisors (33796428546625704) is greater than itself. Its abundance is 20991565382209704
Bases of 12804863164416000
- Binary: 1011010111110111110100100010000101000000000000000000002
- Hexadecimal: 0x2D7DF488500000
- Base-36: 3I2Y0XGBNK0
Squares and roots of 12804863164416000
- 12804863164416000 squared (128048631644160002) is 163964520659417737048621056000000
- 12804863164416000 cubed (128048631644160003) is 2099543250862904411416443615581407543296000000000
-
The
square root of 12804863164416000 is 113158575.3021661189 -
The
cube root of 12804863164416000 is 233951.0402622549
Scales and comparisons
How big is 12804863164416000?- 12,804,863,164,416,000 seconds is equal to 407,155,040 years, 30 weeks, 3 days, 8 hours.
-
To count from 1 to 12,804,863,164,416,000 would take you about one billion, two hundred twenty-one million, four hundred sixty-five thousand, one hundred twenty-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 12804863164416000 cubic inches would be around 19495.9 feet tall.
Recreational maths with 12804863164416000
- 12804863164416000 backwards is 00061446136840821
- The number of decimal digits it has is: 17
- The sum of 12804863164416000's digits is 54
- More coming soon!
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The information we have on file for 12804863164416000 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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