12831513350400
12,831,513,350,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12831513350400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
12831513350400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12831513350400:
28 × 33 × 52 × 23 × 29 × 163 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 23 × 29 × 163 × 683)See below for interesting mathematical facts about the number 12831513350400 from the Numbermatics database.
Names of 12831513350400
- Cardinal: 12831513350400 can be written as Twelve trillion, eight hundred thirty-one billion, five hundred thirteen million, three hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 1.28315133504 × 1013
Factors of 12831513350400
Divisors of 12831513350400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 29 30 32 36 40 45 46 48 50 54 58 60 64 69 72 75 80 87 90 92 96 100 108 115 116 120 128 135 138 144 145 150 160 163 174 180 184 192 200 207 216 225 230 232 240 256 261 270 276 288 290 300 320 326 345 348 360 368 384 400 414 432 435 450 460 464 480 489 522 540 552 575 576 580 600 621 640 652 667 675 683 690 696 720 725 736 768 783 800 815 828 864 870 900 920 928 960 978 1035 1044 1080 1104 1150 1152 1160 1200 1242 1280 1304 1305 1334 1350 1366 1380 1392 1440 1450 1467 1472 1566 1600 1630 1656 1725 1728 1740 1800 1840 1856 1920 1956 2001 2049 2070 2088 2160 2175 2208 2300 2304 2320 2400 2445 2484 2608 2610 2668 2700 2732 2760 2784 2880 2900 2934 2944 3105 3132 3200 3260 3312 3335 3415 3450 3456 3480 3600 3680 3712 3749 3840 3912 3915 4002 4075 4098 4140 4176 4320 4350 4401 4416 4600 4640 4727 4800 4890 4968 5175 5216 5220 5336 5400 5464 5520 5568 5760 5800 5868 5888 6003 6147 6210 6264 6400 6520 6525 6624 6670 6830 6900 6912 6960 7200 7335 7360 7424 7498 7824 7830 8004 8150 8196 8280 8352 8640 8700 8802 8832 9200 9280 9454 9600 9780 9936 10005 10245 10350 10432 10440 10672 10800 10928 11040 11136 11247 11520 11600 11736 12006 12225 12294 12420 12528 13040 13050 13248 13340 13660 13800 13920 14181 14400 14670 14720 14996 15525 15648 15660 15709 16008 16300 16392 16560 16675 16704 17075 17280 17400 17604 17664 18009 18400 18441 18560 18745 18908 19200 19560 19575 19807 19872 20010 20490 20700 20864 20880 21344 21600 21856 22005 22080 22272 22494 23200 23472 23635 24012 24450 24588 24840 25056 26080 26100 26496 26680 27320 27600 27840 28362 28800 29340 29440 29992 30015 30735 31050 31296 31320 31418 32016 32600 32784 33120 33350 33408 33741 34150 34560 34800 35208 36018 36675 36800 36882 37120 37490 37816 39120 39150 39614 39744 40020 40980 41400 41728 41760 42543 42688 43200 43712 44010 44160 44988 46400 46944 47127 47270 48024 48900 49176 49680 50025 50112 51225 52160 52200 52992 53360 54640 55200 55680 56235 56724 57600 58680 59421 59984 60030 61470 62100 62592 62640 62836 64032 65200 65568 66240 66700 66816 67482 68300 69600 70416 70905 72036 73350 73600 73764 74980 75632 78240 78300 78545 79228 79488 80040 81960 82800 83520 85086 85376 86400 87424 88020 88320 89976 90045 92205 92800 93725 93888 94254 94540 96048 97800 98352 99035 99360 100050 100224 101223 102450 104320 104400 106720 108721 109280 110025 110400 111329 111360 112470 113448 117360 118175 118842 119968 120060 122940 124200 125184 125280 125672 127629 128064 130400 131136 132480 133400 134964 136600 139200 140832 141381 141810 144072 146700 147200 147528 149960 150075 151264 153675 156480 156600 157090 158456 158976 160080 163920 165600 167040 168705 170172 170752 172800 174848 176040 178263 179952 180090 184410 185600 187450 187776 188508 189080 192096 195600 196704 198070 198720 200100 200448 202446 204900 208640 208800 212715 213440 217442 218560 220050 220800 222658 224940 226896 234720 235635 236350 237684 239936 240120 245880 248400 250560 251344 255258 256128 260800 262272 264960 266800 269928 273200 278400 281175 281664 282762 283620 288144 293400 295056 297105 299920 300150 302528 307350 312960 313200 314180 316912 320160 326163 327840 331200 333987 334080 337410 340344 352080 354525 356526 359904 360180 368820 374900 375552 377016 378160 384192 391200 392725 393408 396140 397440 400200 404892 409800 417600 424143 425430 426880 434884 437120 440100 441600 445316 449880 450225 453792 455561 461025 469440 471270 472700 475368 479872 480240 491760 495175 496800 501120 502688 506115 510516 512256 521600 524544 533600 534789 539856 543605 546400 556645 556800 562350 563328 565524 567240 576288 586800 590112 594210 599840 600300 605056 614700 625920 626400 628360 633824 638145 640320 652326 655680 662400 667974 674820 680688 704160 706905 709050 713052 719808 720360 737640 749800 754032 756320 768384 782400 785450 786816 792280 794880 800400 809784 819600 835200 843525 848286 850860 853760 869768 874240 880200 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51051600 51211340 51656656 52186080 53437920 53478900 53985600 54290304 54455040 54667320 56552400 57044160 57628800 58113738 58311808 58709340 59011200 60117660 60322560 61453608 61500735 62623296 63382400 64014175 64125504 64570820 64782720 65232600 65600784 66797400 67862880 68068800 68334150 68452992 69135309 69581440 71250560 71305200 71980800 72889760 73386675 74256443 75147075 75403200 76058880 76817010 77484984 78279120 80156880 80713525 80978400 81682560 81938144 82000980 83497728 84828600 85500672 85566240 86976800 87170607 87467712 89063200 90483840 90758400 91112200 92180412 93934944 95073600 96188256 96856230 97848900 98401176 100196100 100537600 102103200 102422680 102501225 103313312 104372160 106875840 106957800 107971200 108580608 109334640 113104800 114088320 115225515 115257600 116227476 116623616 117418680 118022400 120235320 122907216 123001470 125246592 126764800 128028350 128251008 129141640 129565440 130465200 131201568 133594800 135725760 136137600 136668300 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1336615974 1357257600 1382706180 1394729712 1452843450 1457795200 1474886592 1485128860 1536340200 1549699680 1565582400 1574418816 1603137600 1638762880 1640019600 1711324800 1728382725 1743412140 1749354240 1782154632 1843608240 1856411075 1859639616 1878698880 1923765120 1937124600 1966515456 1968023520 2004923961 2048453600 2066266240 2087443200 2137516800 2179265175 2186692800 2212329888 2227693290 2304510300 2324549520 2348373600 2376206176 2404706400 2458144320 2460029400 2479519488 2582832800 2624031360 2673231948 2714515200 2765412360 2789459424 2905686900 2915590400 2949773184 2970257720 3072680400 3099399360 3131164800 3148837632 3206275200 3277525760 3280039200 3341539935 3422649600 3456765450 3486824280 3564309264 3687216480 3712822150 3719279232 3757397760 3847530240 3874249200 3936047040 4009847922 4096907200 4132532480 4358530350 4373385600 4424659776 4455386580 4609020600 4649099040 4696747200 4752412352 4809412800 4916288640 4920058800 5165665600 5248062720 5346463896 5530824720 5569233225 5578918848 5811373800 5899546368 5940515440 6145360800 6198798720 6262329600 6412550400 6560078400 6683079870 6913530900 6973648560 7128618528 7374432960 7425644300 7438558464 7748498400 7872094080 8019695844 8193814400 8717060700 8746771200 8849319552 8910773160 9218041200 9298198080 9393494400 9504824704 9618825600 9832577280 9840117600 10024619805 10331331200 10692927792 11061649440 11138466450 11157837696 11622747600 11881030880 12290721600 12397597440 13120156800 13366159740 13827061800 13947297120 14257237056 14748865920 14851288600 15496996800 15744188160 16039391688 16387628800 16707699675 17434121400 17698639104 17821546320 18436082400 18596396160 18786988800 19009649408 19237651200 19680235200 20049239610 20662662400 21385855584 22123298880 22276932900 22315675392 23245495200 23762061760 24581443200 26240313600 26732319480 27654123600 27894594240 28514474112 29497731840 29702577200 30993993600 32078783376 33415399350 34868242800 35643092640 36872164800 37192792320 39360470400 40098479220 42771711168 44246597760 44553865800 46490990400 47524123520 49162886400 50123099025 53464638960 55308247200 55789188480 57028948224 59405154400 61987987200 64157566752 66830798700 69736485600 71286185280 73744329600 78720940800 80196958440 85543422336 88493195520 89107731600 92981980800 95048247040 100246198050 106929277920 110616494400 111578376960 118810308800 128315133504 133661597400 139472971200 142572370560 147488659200 160393916880 171086844672 178215463200 185963961600 200492396100 213858555840 221232988800 237620617600 256630267008 267323194800 278945942400 285144741120 320787833760 356430926400 400984792200 427717111680 442465977600 475241235200 513260534016 534646389600 557891884800 641575667520 712861852800 801969584400 855434223360 1069292779200 1283151335040 1425723705600 1603939168800 2138585558400 2566302670080 3207878337600 4277171116800 6415756675200 12831513350400
- Sum of all divisors σ(n): 51177024460800
- Sum of proper divisors (its aliquot sum) s(n): 38345511110400
- 12831513350400 is an abundant number, because the sum of its proper divisors (38345511110400) is greater than itself. Its abundance is 25513997760000
Bases of 12831513350400
- Binary: 101110101011100100011100101110010001000000002
- Hexadecimal: 0xBAB91CB9100
- Base-36: 4JQPRQYO0
Squares and roots of 12831513350400
- 12831513350400 squared (128315133504002) is 164647734861493433180160000
- 12831513350400 cubed (128315133504003) is 2112679607988372482733153368408064000000
-
The
square root of 12831513350400 is 3582110.1812200029 -
The
cube root of 12831513350400 is 23411.3231720783
Scales and comparisons
How big is 12831513350400?- 12,831,513,350,400 seconds is equal to 408,002 years, 22 weeks, 4 days.
-
To count from 1 to 12,831,513,350,400 would take you about one million, twenty thousand and six 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 12831513350400 cubic inches would be around 1950.9 feet tall.
Recreational maths with 12831513350400
- 12831513350400 backwards is 00405331513821
- 12831513350400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12831513350400's digits is 36
- More coming soon!
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"Number 12831513350400 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 12831513350400 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/12831513350400/
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The information we have on file for 12831513350400 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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