12828433461043200
12,828,433,461,043,200 is an even composite number composed of eight prime numbers multiplied together.
12828433461043200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 12828433461043200:
213 × 3 × 52 × 7 × 11 × 13 × 31 × 672863
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 13 × 31 × 672863)See below for interesting mathematical facts about the number 12828433461043200 from the Numbermatics database.
Names of 12828433461043200
- Cardinal: 12828433461043200 can be written as Twelve quadrillion, eight hundred twenty-eight trillion, four hundred thirty-three billion, four hundred sixty-one million, forty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.28284334610432 × 1016
Factors of 12828433461043200
Divisors of 12828433461043200
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 13 14 15 16 20 21 22 24 25 26 28 30 31 32 33 35 39 40 42 44 48 50 52 55 56 60 62 64 65 66 70 75 77 78 80 84 88 91 93 96 100 104 105 110 112 120 124 128 130 132 140 143 150 154 155 156 160 165 168 175 176 182 186 192 195 200 208 210 217 220 224 231 240 248 256 260 264 273 275 280 286 300 308 310 312 320 325 330 336 341 350 352 364 372 384 385 390 400 403 416 420 429 434 440 448 455 462 465 480 496 512 520 525 528 546 550 560 572 600 616 620 624 640 650 651 660 672 682 700 704 715 728 744 768 770 775 780 800 806 825 832 840 858 868 880 896 910 924 930 960 975 992 1001 1023 1024 1040 1050 1056 1085 1092 1100 1120 1144 1155 1200 1209 1232 1240 1248 1280 1300 1302 1320 1344 1364 1365 1400 1408 1430 1456 1488 1536 1540 1550 1560 1600 1612 1650 1664 1680 1705 1716 1736 1760 1792 1820 1848 1860 1920 1925 1950 1984 2002 2015 2046 2048 2080 2100 2112 2145 2170 2184 2200 2240 2275 2288 2310 2325 2387 2400 2418 2464 2480 2496 2560 2600 2604 2640 2688 2728 2730 2800 2816 2821 2860 2912 2976 3003 3072 3080 3100 3120 3200 3224 3255 3300 3328 3360 3410 3432 3472 3520 3575 3584 3640 3696 3720 3840 3850 3900 3968 4004 4030 4092 4096 4160 4200 4224 4290 4340 4368 4400 4433 4480 4550 4576 4620 4650 4774 4800 4836 4928 4960 4992 5005 5115 5120 5200 5208 5280 5376 5425 5456 5460 5600 5632 5642 5720 5775 5824 5952 6006 6045 6144 6160 6200 6240 6400 6448 6510 6600 6656 6720 6820 6825 6864 6944 7040 7150 7161 7168 7280 7392 7440 7680 7700 7800 7936 8008 8060 8184 8192 8320 8400 8448 8463 8525 8580 8680 8736 8800 8866 8960 9100 9152 9240 9300 9548 9600 9672 9856 9920 9984 10010 10075 10230 10240 10400 10416 10560 10725 10752 10850 10912 10920 11200 11264 11284 11440 11550 11648 11904 11935 12012 12090 12288 12320 12400 12480 12800 12896 13020 13200 13299 13312 13440 13640 13650 13728 13888 14080 14105 14300 14322 14336 14560 14784 14880 15015 15360 15400 15600 15872 16016 16120 16275 16368 16640 16800 16896 16926 17050 17160 17360 17472 17600 17732 17920 18200 18304 18480 18600 19096 19200 19344 19712 19840 19968 20020 20150 20460 20480 20800 20832 21120 21450 21504 21700 21824 21840 22165 22400 22528 22568 22880 23100 23296 23808 23870 24024 24180 24576 24640 24800 24960 25025 25575 25600 25792 26040 26400 26598 26624 26880 27280 27300 27456 27776 28160 28210 28600 28644 28672 29120 29568 29760 30030 30225 30720 30800 31031 31200 31744 32032 32240 32550 32736 33280 33600 33792 33852 34100 34320 34720 34944 35200 35464 35805 35840 36400 36608 36960 37200 38192 38400 38688 39424 39680 39936 40040 40300 40920 40960 41600 41664 42240 42315 42900 43008 43400 43648 43680 44330 44800 45056 45136 45760 46200 46592 47616 47740 48048 48360 49280 49600 49920 50050 51150 51200 51584 52080 52800 53196 53248 53760 54560 54600 54912 55552 56320 56420 57200 57288 57344 58240 59136 59520 59675 60060 60450 61440 61600 62062 62400 63488 64064 64480 65100 65472 66495 66560 67200 67584 67704 68200 68640 69440 69888 70400 70525 70928 71610 71680 72800 73216 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1002221364144 1027919347840 1034551085568 1041268949760 1043980587650 1061078036480 1067968153600 1074858270720 1077657380800 1101342158400 1110686879744 1121366561280 1136869324800 1138887913800 1145395844736 1174764968960 1175626233600 1182344097792 1193120671600 1196124332032 1214813774720 1231608435200 1233503217408 1252776705180 1254001315840 1273293643776 1281561784320 1284899184800 1293188856960 1301586187200 1326347545600 1336295152192 1343572838400 1379401447424 1388358599680 1401708201600 1409717962752 1431744805920 1446924595200 1457776529664 1468456211200 1477930122240 1495155415040 1504801579008 1515825766400 1518517218400 1527194459648 1541879021760 1565970881475 1567501644800 1591617054720 1601952230400 1616486071200 1644670956544 1666030319616 1670368940240 1724251809280 1735448249600 1762147453440 1789681007400 1791430451200 1794186498048 1822220662080 1847412652800 1868944268800 1879623950336 1881001973760 1908993074560 1927348777200 1943702039552 1970573496320 1989521318400 2004442728288 2055838695680 2069102171136 2082537899520 2087961175300 2122156072960 2135936307200 2155314761600 2202684316800 2221373759488 2242733122560 2273738649600 2277775827600 2290791689472 2349529937920 2351252467200 2364688195584 2386241343200 2429627549440 2463216870400 2467006434816 2505553410360 2508002631680 2563123568640 2569798369600 2586377713920 2603172374400 2652695091200 2672590304384 2687145676800 2758802894848 2776717199360 2803416403200 2819435925504 2863489611840 2893849190400 2915553059328 2936912422400 2955860244480 2990310830080 3037034436800 3054388919296 3083758043520 3131941762950 3135003289600 3183234109440 3203904460800 3232972142400 3289341913088 3332060639232 3340737880480 3448503618560 3470896499200 3524294906880 3579362014800 3588372996096 3644441324160 3694825305600 3737888537600 3762003947520 3817986149120 3854697554400 3887404079104 3941146992640 3979042636800 4008885456576 4111677391360 4138204342272 4165075799040 4175922350600 4271872614400 4310629523200 4405368633600 4485466245120 4547477299200 4555551655200 4581583378944 4699059875840 4702504934400 4772482686400 4859255098880 4926433740800 4934012869632 5011106820720 5139596739200 5172755427840 5206344748800 5305390182400 5345180608768 5374291353600 5517605789696 5553434398720 5606832806400 5638871851008 5726979223680 5831106118656 5873824844800 5911720488960 5980621660160 6074068873600 6108777838592 6167516087040 6263883525900 6270006579200 6366468218880 6407808921600 6465944284800 6578683826176 6664121278464 6681475760960 6897007237120 6941792998400 7048589813760 7158724029600 7288882648320 7389650611200 7475777075200 7524007895040 7635972298240 7709395108800 7774808158208 7958085273600 8017770913152 8223354782720 8276408684544 8330151598080 8351844701200 8621259046400 8810737267200 8970932490240 9111103310400 9163166757888 9398119751680 9405009868800 9544965372800 9718510197760 9852867481600 9868025739264 10022213641440 10279193478400 10345510855680 10412689497600 10610780364800 10690361217536 11106868797440 11213665612800 11453958447360 11662212237312 11747649689600 11823440977920 12148137747200 12217555677184 12335032174080 12527767051800 12540013158400 12815617843200 12931888569600 13157367652352 13362951521920 13794014474240 13883585996800 14097179627520 14317448059200 14577765296640 14779301222400 14951554150400 15271944596480 15418790217600 15549616316416 15916170547200 16035541826304 16446709565440 16552817369088 16660303196160 16703689402400 17242518092800 17621474534400 17941864980480 18222206620800 18326333515776 18810019737600 19089930745600 19437020395520 19705734963200 19736051478528 20044427282880 20558386956800 20691021711360 20825378995200 21380722435072 22427331225600 22907916894720 23324424474624 23495299379200 24296275494400 24435111354368 24670064348160 25055534103600 25863777139200 26725903043840 27588028948480 27767171993600 28194359255040 28634896118400 29155530593280 29558602444800 29903108300800 30543889192960 30837580435200 31832341094400 32071083652608 32893419130880 33320606392320 33407378804800 34485036185600 35242949068800 36444413241600 36652667031552 37620039475200 38179861491200 38874040791040 39472102957056 40088854565760 41116773913600 41382043422720 41650757990400 42761444870144 44854662451200 45815833789440 46648848949248 46990598758400 48592550988800 49340128696320 50111068207200 51727554278400 53451806087680 55534343987200 57269792236800 58311061186560 59117204889600 61087778385920 61675160870400 64142167305216 65786838261760 66814757609600 68970072371200 70485898137600 72888826483200 73305334063104 76359722982400 77748081582080 80177709131520 82233547827200 82764086845440 83301515980800 85522889740288 89709324902400 91631667578880 97185101977600 98680257392640 100222136414400 103455108556800 106903612175360 114539584473600 116622122373120 122175556771840 123350321740800 128284334610432 133629515219200 137940144742400 140971796275200 145777652966400 152719445964800 160355418263040 164467095654400 166603031961600 171045779480576 183263335157760 194370203955200 197360514785280 200444272828800 206910217113600 213807224350720 229079168947200 233244244746240 246700643481600 256568669220864 267259030438400 291555305932800 305438891929600 320710836526080 328934191308800 366526670315520 388740407910400 400888545657600 413820434227200 427614448701440 458158337894400 493401286963200 513137338441728 534518060876800 583110611865600 610877783859200 641421673052160 801777091315200 855228897402880 916316675788800 986802573926400 1069036121753600 1166221223731200 1282843346104320 1603554182630400 1832633351577600 2138072243507200 2565686692208640 3207108365260800 4276144487014400 6414216730521600 12828433461043200
- Sum of all divisors σ(n): 58788402165448704
- Sum of proper divisors (its aliquot sum) s(n): 45959968704405504
- 12828433461043200 is an abundant number, because the sum of its proper divisors (45959968704405504) is greater than itself. Its abundance is 33131535243362304
Bases of 12828433461043200
- Binary: 1011011001001101100100011010110111100001100000000000002
- Hexadecimal: 0x2D93646B786000
- Base-36: 3IBASZ2D9MO
Squares and roots of 12828433461043200
- 12828433461043200 squared (128284334610432002) is 164568705064412815172032266240000
- 12828433461043200 cubed (128284334610432003) is 2111158682688862886528889829220308450541568000000
-
The
square root of 12828433461043200 is 113262674.6154407215 -
The
cube root of 12828433461043200 is 234094.4991798319
Scales and comparisons
How big is 12828433461043200?- 12,828,433,461,043,200 seconds is equal to 407,904,503 years, 5 weeks, 5 days, 10 hours, 40 minutes.
-
To count from 1 to 12,828,433,461,043,200 would take you about one billion, two hundred twenty-three million, seven hundred thirteen thousand, five hundred 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 12828433461043200 cubic inches would be around 19507.9 feet tall.
Recreational maths with 12828433461043200
- 12828433461043200 backwards is 00234016433482821
- The number of decimal digits it has is: 17
- The sum of 12828433461043200's digits is 51
- More coming soon!
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MLA style:
"Number 12828433461043200 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 12828433461043200 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/12828433461043200/
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Numbermatics. 2024. "Number 12828433461043200 - Facts about the integer". https://numbermatics.com/n/12828433461043200/
The information we have on file for 12828433461043200 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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