106428605084467200
106,428,605,084,467,200 is an even composite number composed of five prime numbers multiplied together.
What does the number 106428605084467200 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2160 divisors.
106428605084467200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 106428605084467200:
229 × 33 × 52 × 23 × 1132
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 23 × 113 × 113)See below for interesting mathematical facts about the number 106428605084467200 from the Numbermatics database.
Names of 106428605084467200
- Cardinal: 106428605084467200 can be written as One hundred six quadrillion, four hundred twenty-eight trillion, six hundred five billion, eighty-four million, four hundred sixty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.064286050844672 × 1017
Factors of 106428605084467200
Divisors of 106428605084467200
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 30 32 36 40 45 46 48 50 54 60 64 69 72 75 80 90 92 96 100 108 113 115 120 128 135 138 144 150 160 180 184 192 200 207 216 225 226 230 240 256 270 276 288 300 320 339 345 360 368 384 400 414 432 450 452 460 480 512 540 552 565 575 576 600 621 640 675 678 690 720 736 768 800 828 864 900 904 920 960 1017 1024 1035 1080 1104 1130 1150 1152 1200 1242 1280 1350 1356 1380 1440 1472 1536 1600 1656 1695 1725 1728 1800 1808 1840 1920 2034 2048 2070 2160 2208 2260 2300 2304 2400 2484 2560 2599 2700 2712 2760 2825 2880 2944 3051 3072 3105 3200 3312 3390 3450 3456 3600 3616 3680 3840 4068 4096 4140 4320 4416 4520 4600 4608 4800 4968 5085 5120 5175 5198 5400 5424 5520 5650 5760 5888 6102 6144 6210 6400 6624 6780 6900 6912 7200 7232 7360 7680 7797 8136 8192 8280 8475 8640 8832 9040 9200 9216 9600 9936 10170 10240 10350 10396 10800 10848 11040 11300 11520 11776 12204 12288 12420 12769 12800 12995 13248 13560 13800 13824 14400 14464 14720 15255 15360 15525 15594 16272 16384 16560 16950 17280 17664 18080 18400 18432 19200 19872 20340 20480 20700 20792 21600 21696 22080 22600 23040 23391 23552 24408 24576 24840 25425 25538 25600 25990 26496 27120 27600 27648 28800 28928 29440 30510 30720 31050 31188 32544 32768 33120 33900 34560 35328 36160 36800 36864 38307 38400 38985 39744 40680 40960 41400 41584 43200 43392 44160 45200 46080 46782 47104 48816 49152 49680 50850 51076 51200 51980 52992 54240 55200 55296 57600 57856 58880 61020 61440 62100 62376 63845 64975 65088 65536 66240 67800 69120 70173 70656 72320 73600 73728 76275 76614 76800 77970 79488 81360 81920 82800 83168 86400 86784 88320 90400 92160 93564 94208 97632 98304 99360 101700 102152 102400 103960 105984 108480 110400 110592 114921 115200 115712 116955 117760 122040 122880 124200 124752 127690 129950 130176 131072 132480 135600 138240 140346 141312 144640 147200 147456 152550 153228 153600 155940 158976 162720 163840 165600 166336 172800 173568 176640 180800 184320 187128 188416 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5196709232640 5232478126080 5355706777600 5543156514816 5774121369600 5784163319808 5886537891840 6025170124800 6159062794240 6278973751296 6426848133120 6495886540800 6540597657600 6824971468800 6855304675328 6928945643520 6976637501440 7230204149760 7358172364800 7390875353088 7698828492800 7712217759744 7848717189120 8033560166400 8189965762560 8314734772224 8334920908800 8569130844160 8661182054400 8720796876800 9037755187200 9238594191360 9418460626944 9640272199680 9810896486400 9854500470784 10237457203200 10282957012992 10393418465280 10464956252160 10711413555200 11086313029632 11548242739200 11568326639616 11773075783680 12050340249600 12318125588480 12557947502592 12853696266240 12991773081600 13081195315200 13649942937600 13857891287040 14460408299520 14716344729600 14781750706176 15397656985600 15424435519488 15697434378240 16067120332800 16629469544448 17138261688320 17322364108800 17441593753600 18075510374400 18477188382720 18836921253888 19280544399360 19621792972800 19709000941568 20474914406400 20565914025984 20786836930560 20929912504320 21422827110400 22172626059264 23096485478400 23136653279232 23546151567360 24100680499200 24636251176960 25707392532480 25983546163200 26162390630400 27715782574080 28920816599040 29432689459200 29563501412352 30795313971200 30848871038976 31394868756480 32134240665600 33258939088896 34276523376640 34644728217600 34883187507200 36151020748800 36954376765440 37673842507776 38561088798720 39243585945600 39418001883136 40949828812800 41573673861120 42845654220800 44345252118528 46192970956800 46273306558464 47092303134720 48201360998400 49272502353920 51414785064960 51967092326400 52324781260800 55431565148160 57841633198080 58865378918400 59127002824704 61590627942400 61697742077952 62789737512960 64268481331200 66517878177792 69289456435200 72302041497600 73908753530880 77122177597440 78487171891200 78836003766272 83147347722240 85691308441600 88690504237056 92385941913600 92546613116928 94184606269440 96402721996800 98545004707840 102829570129920 103934184652800 104649562521600 110863130296320 115683266396160 117730757836800 118254005649408 123181255884800 128536962662400 133035756355584 138578912870400 144604082995200 147817507061760 154244355194880 156974343782400 157672007532544 166294695444480 171382616883200 177381008474112 184771883827200 185093226233856 188369212538880 192805443993600 197090009415680 207868369305600 221726260592640 231366532792320 235461515673600 236508011298816 246362511769600 257073925324800 266071512711168 277157825740800 289208165990400 295635014123520 308488710389760 313948687564800 332589390888960 354762016948224 369543767654400 385610887987200 394180018831360 415736738611200 443452521185280 462733065584640 470923031347200 473016022597632 492725023539200 514147850649600 532143025422336 554315651481600 578416331980800 591270028247040 665178781777920 709524033896448 739087535308800 771221775974400 788360037662720 831473477222400 886905042370560 925466131169280 941846062694400 985450047078400 1064286050844672 1108631302963200 1156832663961600 1182540056494080 1330357563555840 1419048067792896 1478175070617600 1542443551948800 1662946954444800 1773810084741120 1970900094156800 2128572101689344 2217262605926400 2313665327923200 2365080112988160 2660715127111680 2956350141235200 3325893908889600 3547620169482240 3941800188313600 4257144203378688 4434525211852800 4627330655846400 5321430254223360 5912700282470400 6651787817779200 7095240338964480 8869050423705600 10642860508446720 11825400564940800 13303575635558400 17738100847411200 21285721016893440 26607151271116800 35476201694822400 53214302542233600 106428605084467200
- Sum of all divisors σ(n): 411670553353899840
- Sum of proper divisors (its aliquot sum) s(n): 305241948269432640
- 106428605084467200 is an abundant number, because the sum of its proper divisors (305241948269432640) is greater than itself. Its abundance is 198813343184965440
Bases of 106428605084467200
- Binary: 1011110100001110001000000101000000000000000000000000000002
- Hexadecimal: 0x17A1C40A0000000
- Base-36: T3XSI7E51C0
Squares and roots of 106428605084467200
- 106428605084467200 squared (1064286050844672002) is 11327047980225477535646707875840000
- 106428605084467200 cubed (1064286050844672003) is 1205521916260229186733018348167142006690152448000000
-
The
square root of 106428605084467200 is 326233972.9158617227 -
The
cube root of 106428605084467200 is 473899.3612776529
Scales and comparisons
How big is 106428605084467200?- 106,428,605,084,467,200 seconds is equal to 3,384,100,436 years, 20 weeks, 4 days.
-
To count from 1 to 106,428,605,084,467,200 would take you about ten billion, one hundred fifty-two million, three hundred one thousand, three 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 106428605084467200 cubic inches would be around 39491.6 feet tall.
Recreational maths with 106428605084467200
- 106428605084467200 backwards is 002764480506824601
- The number of decimal digits it has is: 18
- The sum of 106428605084467200's digits is 63
- More coming soon!
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"Number 106428605084467200 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
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The information we have on file for 106428605084467200 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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