12168248642290368000
12,168,248,642,290,368,000 is an even composite number composed of four prime numbers multiplied together.
12168248642290368000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 12168248642290368000:
29 × 311 × 53 × 1814
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 181 × 181 × 181 × 181)See below for interesting mathematical facts about the number 12168248642290368000 from the Numbermatics database.
Names of 12168248642290368000
- Cardinal: 12168248642290368000 can be written as Twelve quintillion, one hundred sixty-eight quadrillion, two hundred forty-eight trillion, six hundred forty-two billion, two hundred ninety million, three hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.2168248642290368 × 1019
Factors of 12168248642290368000
Divisors of 12168248642290368000
- Number of divisors d(n): 2400
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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 64 72 75 80 81 90 96 100 108 120 125 128 135 144 150 160 162 180 181 192 200 216 225 240 243 250 256 270 288 300 320 324 360 362 375 384 400 405 432 450 480 486 500 512 540 543 576 600 640 648 675 720 724 729 750 768 800 810 864 900 905 960 972 1000 1080 1086 1125 1152 1200 1215 1280 1296 1350 1440 1448 1458 1500 1536 1600 1620 1629 1728 1800 1810 1920 1944 2000 2025 2160 2172 2187 2250 2304 2400 2430 2560 2592 2700 2715 2880 2896 2916 3000 3200 3240 3258 3375 3456 3600 3620 3645 3840 3888 4000 4050 4320 4344 4374 4500 4525 4608 4800 4860 4887 5184 5400 5430 5760 5792 5832 6000 6075 6400 6480 6516 6561 6750 6912 7200 7240 7290 7680 7776 8000 8100 8145 8640 8688 8748 9000 9050 9600 9720 9774 10125 10368 10800 10860 10935 11520 11584 11664 12000 12150 12800 12960 13032 13122 13500 13575 13824 14400 14480 14580 14661 15552 16000 16200 16290 17280 17376 17496 18000 18100 18225 19200 19440 19548 19683 20250 20736 21600 21720 21870 22625 23040 23168 23328 24000 24300 24435 25920 26064 26244 27000 27150 28800 28960 29160 29322 30375 31104 32000 32400 32580 32761 32805 34560 34752 34992 36000 36200 36450 38400 38880 39096 39366 40500 40725 41472 43200 43440 43740 43983 45250 46336 46656 48000 48600 48870 51840 52128 52488 54000 54300 54675 57600 57920 58320 58644 59049 60750 62208 64000 64800 65160 65522 65610 67875 69120 69504 69984 72000 72400 72900 73305 77760 78192 78732 81000 81450 86400 86880 87480 87966 90500 91125 92672 93312 96000 97200 97740 98283 98415 103680 104256 104976 108000 108600 109350 115200 115840 116640 117288 118098 121500 122175 124416 129600 130320 131044 131220 131949 135750 139008 139968 144000 144800 145800 146610 155520 156384 157464 162000 162900 163805 164025 172800 173760 174960 175932 177147 181000 182250 186624 192000 194400 195480 196566 196830 203625 207360 208512 209952 216000 217200 218700 219915 231680 233280 234576 236196 243000 244350 259200 260640 262088 262440 263898 271500 273375 278016 279936 288000 289600 291600 293220 294849 295245 311040 312768 314928 324000 325800 327610 328050 345600 347520 349920 351864 354294 362000 364500 366525 373248 388800 390960 393132 393660 395847 407250 417024 419904 432000 434400 437400 439830 463360 466560 469152 472392 486000 488700 491415 492075 518400 521280 524176 524880 527796 543000 546750 559872 576000 579200 583200 586440 589698 590490 610875 622080 625536 629856 648000 651600 655220 656100 659745 695040 699840 703728 708588 724000 729000 733050 777600 781920 786264 787320 791694 814500 819025 820125 834048 839808 864000 868800 874800 879660 884547 885735 933120 938304 944784 972000 977400 982830 984150 1036800 1042560 1048352 1049760 1055592 1086000 1093500 1099575 1119744 1158400 1166400 1172880 1179396 1180980 1187541 1221750 1251072 1259712 1296000 1303200 1310440 1312200 1319490 1390080 1399680 1407456 1417176 1448000 1458000 1466100 1474245 1476225 1555200 1563840 1572528 1574640 1583388 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92219332032000 92731661654400 92856205872000 93372073682400 93890807425080 97802924401125 99596878594560 100150194586752 103035179616000 103746748536000 104323119361200 105043582892700 105627158353215 111277993985280 112046488418880 112668968910096 115914577068000 116715092103000 117363509281350 123642215539200 123808274496000 124496098243200 125187743233440 126752590023858 130403899201500 131304478615875 133533592782336 134455786102656 138328998048000 139097492481600 140058110523600 140836211137620 149395317891840 150225291880128 154552769424000 155620122804000 156484679041800 165994797657600 166916990977920 168069732628320 169003453365144 173871865602000 175072638154500 176045263922025 179274381470208 185463323308800 185712411744000 186744147364800 187781614850160 190128885035787 195605848802250 200300389173504 206070359232000 207493497072000 208646238722400 210087165785400 211254316706430 222555987970560 224092976837760 225337937820192 231829154136000 233430184206000 234727018562700 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751126459400640 760515540143148 782423395209000 829973988288000 834584954889600 840348663141600 845017266825720 880226319610125 896371907351040 901351751280768 927316616544000 933720736824000 938908074250800 950644425178935 1001501945867520 1014020720190864 1043231193612000 1050435828927000 1056271583532150 1112779939852800 1120464884188800 1126689689100960 1173635092813500 1201802335041024 1244960982432000 1251877432334400 1267525900238580 1344557861026560 1352027626921152 1390974924816000 1400581105236000 1408362111376200 1493953178918400 1502252918801280 1521031080286296 1564846790418000 1584407375298225 1669169909779200 1680697326283200 1690034533651440 1760452639220250 1802703502561536 1854633233088000 1867441473648000 1877816148501600 1901288850357870 2003003891735040 2028041440381728 2086462387224000 2100871657854000 2112543167064300 2240929768377600 2253379378201920 2347270185627000 2489921964864000 2503754864668800 2535051800477160 2640678958830375 2689115722053120 2704055253842304 2781949849632000 2801162210472000 2816724222752400 3004505837602560 3042062160572592 3129693580836000 3168814750596450 3338339819558400 3361394652566400 3380069067302880 3520905278440500 3605407005123072 3734882947296000 3755632297003200 3802577700715740 4056082880763456 4172924774448000 4201743315708000 4225086334128600 4481859536755200 4506758756403840 4694540371254000 4753222125894675 5007509729337600 5070103600954320 5281357917660750 5408110507684608 5563899699264000 5602324420944000 5633448445504800 6009011675205120 6084124321145184 6259387161672000 6337629501192900 6722789305132800 6760138134605760 7041810556881000 7469765894592000 7511264594006400 7605155401431480 7922036876491125 8112165761526912 8345849548896000 8403486631416000 8450172668257200 9013517512807680 9389080742508000 9506444251789350 10015019458675200 10140207201908640 10562715835321500 10816221015369216 11204648841888000 11266896891009600 12168248642290368 12518774323344000 12675259002385800 13445578610265600 13520276269211520 14083621113762000 15022529188012800 15210310802862960 15844073752982250 16224331523053824 16691699097792000 16806973262832000 16900345336514400 18027035025615360 18778161485016000 19012888503578700 20280414403817280 21125431670643000 22409297683776000 22533793782019200 23766110629473375 24336497284580736 25037548646688000 25350518004771600 27040552538423040 28167242227524000 30045058376025600 30420621605725920 31688147505964500 32448663046107648 33613946525664000 33800690673028800 37556322970032000 38025777007157400 40560828807634560 42250863341286000 45067587564038400 47532221258946750 48672994569161472 50075097293376000 50701036009543200 54081105076846080 56334484455048000 60841243211451840 63376295011929000 67227893051328000 67601381346057600 75112645940064000 76051554014314800 81121657615269120 84501726682572000 90135175128076800 95064442517893500 97345989138322944 101402072019086400 112668968910096000 121682486422903680 126752590023858000 135202762692115200 150225291880128000 152103108028629600 162243315230538240 169003453365144000 190128885035787000 202804144038172800 225337937820192000 243364972845807360 253505180047716000 270405525384230400 304206216057259200 338006906730288000 380257770071574000 405608288076345600 450675875640384000 486729945691614720 507010360095432000 608412432114518400 676013813460576000 760515540143148000 811216576152691200 1014020720190864000 1216824864229036800 1352027626921152000 1521031080286296000 2028041440381728000 2433649728458073600 3042062160572592000 4056082880763456000 6084124321145184000 12168248642290368000
- Sum of all divisors σ(n): 45766199044270504800
- Sum of proper divisors (its aliquot sum) s(n): 33597950401980136800
- 12168248642290368000 is an abundant number, because the sum of its proper divisors (33597950401980136800) is greater than itself. Its abundance is 21429701759689768800
Bases of 12168248642290368000
- Binary: 10101000110111100100110110101011100001100101100010111110000000002
- Hexadecimal: 0xA8DE4DAB8658BE00
- Base-36: 2KG5G5B7I0000
Squares and roots of 12168248642290368000
- 12168248642290368000 squared (121682486422903680002) is 148066275020601384207444825575424000000
- 12168248642290368000 cubed (121682486422903680003) is 1801707249988425023550742727827627295686892716032000000000
-
The
square root of 12168248642290368000 is 3488301684.5293596251 -
The
cube root of 12168248642290368000 is 2300078.6767220351
Scales and comparisons
How big is 12168248642290368000?- 12,168,248,642,290,368,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 12,168,248,642,290,368,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 12168248642290368000 cubic inches would be around 191673.2 feet tall.
Recreational maths with 12168248642290368000
- 12168248642290368000 backwards is 00086309224684286121
- 12168248642290368000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 12168248642290368000's digits is 72
- More coming soon!
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Cite this page
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"Number 12168248642290368000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 12168248642290368000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/12168248642290368000/
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Numbermatics. 2024. "Number 12168248642290368000 - Facts about the integer". https://numbermatics.com/n/12168248642290368000/
The information we have on file for 12168248642290368000 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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