12828634624000
12,828,634,624,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 12828634624000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 832 divisors.
12828634624000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred thirty-two divisors.
Prime factorization of 12828634624000:
212 × 53 × 13 × 193 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 19 × 19 × 19 × 281)See below for interesting mathematical facts about the number 12828634624000 from the Numbermatics database.
Names of 12828634624000
- Cardinal: 12828634624000 can be written as Twelve trillion, eight hundred twenty-eight billion, six hundred thirty-four million, six hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.2828634624 × 1013
Factors of 12828634624000
Divisors of 12828634624000
- Number of divisors d(n): 832
-
Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 64 65 76 80 95 100 104 125 128 130 152 160 190 200 208 247 250 256 260 281 304 320 325 361 380 400 416 475 494 500 512 520 562 608 640 650 722 760 800 832 950 988 1000 1024 1040 1124 1216 1235 1280 1300 1405 1444 1520 1600 1625 1664 1805 1900 1976 2000 2048 2080 2248 2375 2432 2470 2560 2600 2810 2888 3040 3200 3250 3328 3610 3653 3800 3952 4000 4096 4160 4496 4693 4750 4864 4940 5120 5200 5339 5620 5776 6080 6175 6400 6500 6656 6859 7025 7220 7306 7600 7904 8000 8320 8992 9025 9386 9500 9728 9880 10240 10400 10678 11240 11552 12160 12350 12800 13000 13312 13718 14050 14440 14612 15200 15808 16000 16640 17984 18050 18265 18772 19000 19456 19760 20480 20800 21356 22480 23104 23465 24320 24700 25600 26000 26624 26695 27436 28100 28880 29224 30400 30875 31616 32000 33280 34295 35125 35968 36100 36530 37544 38000 38912 39520 41600 42712 44960 45125 46208 46930 48640 49400 51200 52000 53248 53390 54872 56200 57760 58448 60800 61750 63232 64000 66560 68590 69407 70250 71936 72200 73060 75088 76000 77824 79040 83200 85424 89167 89920 90250 91325 92416 93860 97280 98800 101441 102400 104000 106780 109744 112400 115520 116896 117325 121600 123500 126464 128000 133120 133475 137180 138814 140500 143872 144400 146120 150176 152000 158080 166400 170848 171475 178334 179840 180500 182650 184832 187720 194560 197600 202882 208000 213560 219488 224800 231040 233792 234650 243200 247000 252928 256000 266240 266950 274360 277628 281000 287744 288800 292240 300352 304000 316160 332800 341696 342950 347035 356668 359680 361000 365300 369664 375440 389120 395200 405764 416000 427120 438976 445835 449600 456625 462080 467584 469300 486400 494000 505856 507205 512000 533900 548720 555256 562000 575488 577600 584480 586625 600704 608000 632320 665600 667375 683392 685900 694070 713336 719360 722000 730600 739328 750880 790400 811528 832000 854240 857375 877952 891670 899200 913250 924160 935168 938600 972800 988000 1011712 1014410 1067800 1097440 1110512 1124000 1150976 1155200 1168960 1173250 1201408 1216000 1264640 1318733 1331200 1334750 1366784 1371800 1388140 1426672 1438720 1444000 1461200 1478656 1501760 1580800 1623056 1664000 1708480 1714750 1735175 1755904 1783340 1798400 1826500 1848320 1870336 1877200 1927379 1945600 1976000 2028820 2135600 2194880 2221024 2229175 2248000 2310400 2337920 2346500 2402816 2432000 2529280 2536025 2637466 2669500 2733568 2743600 2776280 2853344 2877440 2888000 2922400 3003520 3161600 3246112 3328000 3416960 3429500 3470350 3511808 3566680 3596800 3653000 3696640 3740672 3754400 3854758 3952000 4057640 4271200 4389760 4442048 4458350 4496000 4620800 4675840 4693000 4805632 4864000 5058560 5072050 5274932 5339000 5467136 5487200 5552560 5706688 5754880 5776000 5844800 6007040 6323200 6492224 6593665 6656000 6833920 6859000 6940700 7023616 7133360 7193600 7306000 7393280 7481344 7508800 7709516 7904000 8115280 8542400 8675875 8779520 8884096 8916700 8992000 9241600 9351680 9386000 9611264 9636895 9728000 10144100 10549864 10678000 10934272 10974400 11105120 11145875 11413376 11552000 11689600 12014080 12646400 12680125 12984448 13187330 13667840 13718000 13881400 14047232 14266720 14387200 14612000 14962688 15017600 15419032 15808000 16230560 17084800 17351750 17559040 17768192 17833400 17984000 18483200 18703360 18772000 19222528 19273790 20288200 21099728 21356000 21868544 21948800 22210240 22291750 22826752 23104000 23379200 24028160 25055927 25292800 25360250 25968896 26374660 27335680 27436000 27762800 28094464 28533440 28774400 29224000 30035200 30838064 31616000 32461120 32968325 34169600 34703500 35118080 35536384 35666800 35968000 36966400 37406720 37544000 38547580 40576400 42199456 42712000 43897600 44420480 44583500 45653504 46208000 46758400 48056320 48184475 50111854 50720500 51937792 52749320 54671360 54872000 55525600 57066880 58448000 60070400 61676128 63232000 64922240 65936650 68339200 69407000 70236160 71072768 71333600 71936000 74813440 75088000 77095160 81152800 84398912 85424000 87795200 88840960 89167000 91307008 92416000 93516800 96112640 96368950 100223708 101441000 103875584 105498640 109342720 109744000 111051200 114133760 116896000 120140800 123352256 125279635 126464000 129844480 131873300 136678400 138814000 140472320 142145536 142667200 143872000 150176000 154190320 162305600 164841625 168797824 170848000 175590400 177681920 178334000 182614016 184832000 187033600 192737900 200447416 202882000 207751168 210997280 219488000 222102400 228267520 233792000 240281600 240922375 246704512 250559270 259688960 263746600 273356800 277628000 284291072 285334400 300352000 308380640 324611200 329683250 337595648 341696000 351180800 355363840 356668000 365228032 374067200 385475800 400894832 405764000 415502336 421994560 438976000 444204800 456535040 467584000 480563200 481844750 493409024 501118540 519377920 527493200 546713600 555256000 570668800 600704000 616761280 626398175 649222400 659366500 675191296 683392000 702361600 710727680 713336000 770951600 801789664 811528000 843989120 877952000 888409600 913070080 935168000 963689500 986818048 1002237080 1038755840 1054986400 1110512000 1141337600 1201408000 1233522560 1252796350 1298444800 1318733000 1350382592 1366784000 1421455360 1426672000 1541903200 1603579328 1623056000 1687978240 1755904000 1776819200 1826140160 1870336000 1927379000 1973636096 2004474160 2077511680 2109972800 2221024000 2282675200 2402816000 2467045120 2505592700 2596889600 2637466000 2700765184 2733568000 2853344000 3083806400 3131990875 3207158656 3246112000 3375956480 3511808000 3553638400 3854758000 3947272192 4008948320 4219945600 4442048000 4565350400 4934090240 5011185400 5193779200 5274932000 5401530368 5706688000 6167612800 6263981750 6414317312 6492224000 6751912960 7107276800 7709516000 7894544384 8017896640 8439891200 8884096000 9130700800 9868180480 10022370800 10387558400 10549864000 11413376000 12335225600 12527963500 12828634624 12984448000 13503825920 15419032000 16035793280 16879782400 17768192000 19736360960 20044741600 21099728000 22826752000 24670451200 25055927000 25657269248 25968896000 27007651840 30838064000 32071586560 33759564800 35536384000 39472721920 40089483200 42199456000 45653504000 49340902400 50111854000 51314538496 51937792000 61676128000 64143173120 67519129600 80178966400 84398912000 98681804800 100223708000 102629076992 123352256000 128286346240 135038259200 160357932800 168797824000 197363609600 200447416000 246704512000 256572692480 320715865600 337595648000 400894832000 493409024000 513145384960 641431731200 675191296000 801789664000 986818048000 1282863462400 1603579328000 2565726924800 3207158656000 6414317312000 12828634624000
- Sum of all divisors σ(n): 36523907521920
- Sum of proper divisors (its aliquot sum) s(n): 23695272897920
- 12828634624000 is an abundant number, because the sum of its proper divisors (23695272897920) is greater than itself. Its abundance is 10866638273920
Bases of 12828634624000
- Binary: 101110101010111001100011010110110000000000002
- Hexadecimal: 0xBAAE635B000
- Base-36: 4JPE5TV5S
Squares and roots of 12828634624000
- 12828634624000 squared (128286346240002) is 164573866316091621376000000
- 12828634624000 cubed (128286346240003) is 2111257999628160302340452122624000000000
-
The
square root of 12828634624000 is 3581708.3387679685 -
The
cube root of 12828634624000 is 23409.5722787157
Scales and comparisons
How big is 12828634624000?- 12,828,634,624,000 seconds is equal to 407,910 years, 46 weeks, 5 days, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 12,828,634,624,000 would take you about one million, nineteen thousand, seven hundred seventy-seven 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 12828634624000 cubic inches would be around 1950.8 feet tall.
Recreational maths with 12828634624000
- 12828634624000 backwards is 00042643682821
- The number of decimal digits it has is: 14
- The sum of 12828634624000's digits is 46
- More coming soon!
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The information we have on file for 12828634624000 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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