996432410816000
996,432,410,816,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 996432410816000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 640 divisors.
996432410816000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 996432410816000:
29 × 53 × 29 × 233 × 1103 × 2089
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 29 × 233 × 1103 × 2089)See below for interesting mathematical facts about the number 996432410816000 from the Numbermatics database.
Names of 996432410816000
- Cardinal: 996432410816000 can be written as Nine hundred ninety-six trillion, four hundred thirty-two billion, four hundred ten million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 9.96432410816 × 1014
Factors of 996432410816000
Divisors of 996432410816000
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 29 32 40 50 58 64 80 100 116 125 128 145 160 200 232 233 250 256 290 320 400 464 466 500 512 580 640 725 800 928 932 1000 1103 1160 1165 1280 1450 1600 1856 1864 2000 2089 2206 2320 2330 2560 2900 3200 3625 3712 3728 4000 4178 4412 4640 4660 5515 5800 5825 6400 6757 7250 7424 7456 8000 8356 8824 9280 9320 10445 11030 11600 11650 12800 13514 14500 14848 14912 16000 16712 17648 18560 18640 20890 22060 23200 23300 27028 27575 29000 29125 29824 31987 32000 33424 33785 35296 37120 37280 41780 44120 46400 46600 52225 54056 55150 58000 58250 59648 60581 63974 64000 66848 67570 70592 74240 74560 83560 88240 92800 93200 104450 108112 110300 116000 116500 119296 121162 127948 133696 135140 137875 141184 149120 159935 167120 168925 176480 185600 186400 208900 216224 220600 232000 233000 242324 255896 256999 261125 267392 270280 275750 282368 298240 302905 319870 334240 337850 352960 371200 372800 417800 432448 441200 464000 466000 484648 486737 511792 513998 522250 534784 540560 551500 564736 596480 605810 639740 668480 675700 705920 745600 799675 835600 844625 864896 882400 928000 932000 969296 973474 1023584 1027996 1044500 1069568 1081120 1103000 1211620 1279480 1284995 1336960 1351400 1411840 1491200 1514525 1599350 1671200 1689250 1729792 1764800 1856000 1864000 1938592 1946948 2047168 2055992 2089000 2162240 2206000 2304167 2423240 2433685 2558960 2569990 2673920 2702800 2823680 2982400 3029050 3198700 3342400 3378500 3459584 3529600 3728000 3877184 3893896 3998375 4094336 4111984 4178000 4324480 4412000 4608334 4846480 4867370 5117920 5139980 5347840 5405600 6058100 6397400 6424975 6684800 6757000 7059200 7452971 7456000 7572625 7754368 7787792 7996750 8188672 8223968 8356000 8648960 8824000 9216668 9692960 9734740 10235840 10279960 10811200 11520835 12116200 12168425 12794800 12849950 13369600 13514000 14115373 14118400 14905942 14912000 15145250 15508736 15575584 15993500 16377344 16447936 16712000 17297920 17648000 18433336 19385920 19469480 20471680 20559920 21622400 23041670 24232400 24336850 25589600 25699900 26739200 27028000 28230746 29811884 30290500 31017472 31151168 31987000 32124875 32895872 33424000 35296000 36866672 37264855 38771840 38938960 40943360 41119840 43244800 46083340 48464800 48673700 51179200 51399800 54056000 56461492 57604175 59623768 60581000 60842125 62302336 63974000 64249750 65791744 66820843 66848000 70576865 70592000 73733344 74529710 77543680 77877920 81886720 82239680 86489600 92166680 96929600 97347400 102358400 102799600 108112000 112922984 115208350 119247536 121162000 121684250 124604672 127948000 128499500 131583488 133641686 133696000 141153730 147466688 149059420 155087360 155755840 164479360 184333360 186324275 193859200 194694800 204716800 205599200 216224000 225845968 230416700 238495072 242324000 243368500 249209344 255896000 256999000 267283372 282307460 288020875 294933376 298118840 311511680 328958720 334104215 352884325 368666720 372648550 387718400 389389600 409433600 411198400 432448000 451691936 460833400 476990144 484648000 486737000 511792000 513998000 534566744 536870911 564614920 576041750 589866752 596237680 623023360 657917440 668208430 705768650 737333440 745297100 775436800 778779200 822396800 903383872 921666800 931621375 953980288 969296000 973474000 1023584000 1027996000 1069133488 1073741822 1129229840 1152083500 1179733504 1192475360 1246046720 1336416860 1411537300 1474666880 1490594200 1557558400 1644793600 1670521075 1764421625 1806767744 1843333600 1863242750 1907960576 1938592000 1946948000 2047168000 2055992000 2138266976 2147483644 2258459680 2304167000 2384950720 2672833720 2684354555 2823074600 2949333760 2981188400 3115116800 3289587200 3341042150 3528843250 3613535488 3686667200 3726485500 3815921152 3877184000 3893896000 4111984000 4276533952 4294967288 4516919360 4608334000 4769901440 5345667440 5368709110 5646149200 5898667520 5962376800 6230233600 6682084300 7057686500 7227070976 7373334400 7452971000 7787792000 8223968000 8352605375 8553067904 8589934576 9033838720 9216668000 9539802880 10691334880 10737418220 11292298400 11924753600 13364168600 13421772775 14115373000 14746668800 14905942000 15569256419 15575584000 16447936000 16705210750 17106135808 17179869152 18067677440 18433336000 19079605760 21382669760 21474836440 22584596800 23849507200 26728337200 26843545550 28230746000 29493337600 29811884000 31138512838 31151168000 33410421500 34212271616 34359738304 36135354880 36866672000 42765339520 42949672880 45169193600 47699014400 53456674400 53687091100 56461492000 59623768000 62277025676 66820843000 67108863875 68719476608 73733344000 77846282095 85530679040 85899345760 90338387200 95398028800 106913348800 107374182200 112922984000 119247536000 124554051352 133641686000 134217727750 137438953216 147466688000 155692564190 171061358080 171798691520 180676774400 213826697600 214748364400 225845968000 238495072000 249108102704 267283372000 268435455500 274877906432 311385128380 343597383040 389231410475 427653395200 429496728800 451691936000 476990144000 498216205408 534566744000 536870911000 622770256760 687194766080 778462820950 855306790400 858993457600 903383872000 996432410816 1069133488000 1073741822000 1245540513520 1374389532160 1556925641900 1717986915200 1946157052375 1992864821632 2138266976000 2147483644000 2491081027040 3113851283800 3435973830400 3892314104750 3985729643264 4276533952000 4294967288000 4982162054080 6227702567600 6871947660800 7784628209500 7971459286528 8589934576000 9964324108160 12455405135200 15569256419000 17179869152000 19928648216320 24910810270400 31138512838000 34359738304000 39857296432640 49821620540800 62277025676000 99643241081600 124554051352000 199286482163200 249108102704000 498216205408000 996432410816000
- Sum of all divisors σ(n): 2584953313113600
- Sum of proper divisors (its aliquot sum) s(n): 1588520902297600
- 996432410816000 is an abundant number, because the sum of its proper divisors (1588520902297600) is greater than itself. Its abundance is 592088491481600
Bases of 996432410816000
- Binary: 111000101000111111111111111110001110101110000000002
- Hexadecimal: 0x38A3FFFE3AE00
- Base-36: 9T7EQA9ZI8
Squares and roots of 996432410816000
- 996432410816000 squared (9964324108160002) is 992877549324585793785856000000
- 996432410816000 cubed (9964324108160003) is 989335370118578975002665525722218496000000000
-
The
square root of 996432410816000 is 31566317.6632308507 -
The
cube root of 996432410816000 is 99880.9386607673
Scales and comparisons
How big is 996432410816000?- 996,432,410,816,000 seconds is equal to 31,683,468 years, 25 weeks, 5 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 996,432,410,816,000 would take you about seventy-nine million, two hundred eight thousand, six hundred seventy-one 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 996432410816000 cubic inches would be around 8323.4 feet tall.
Recreational maths with 996432410816000
- 996432410816000 backwards is 000618014234699
- The number of decimal digits it has is: 15
- The sum of 996432410816000's digits is 53
- More coming soon!
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