13708945632253478400
13,708,945,632,253,478,400 is an even composite number composed of four prime numbers multiplied together.
13708945632253478400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 13708945632253478400:
29 × 33 × 52 × 39667088056289
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 39667088056289)See below for interesting mathematical facts about the number 13708945632253478400 from the Numbermatics database.
Names of 13708945632253478400
- Cardinal: 13708945632253478400 can be written as Thirteen quintillion, seven hundred eight quadrillion, nine hundred forty-five trillion, six hundred thirty-two billion, two hundred fifty-three million, four hundred seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.37089456322534784 × 1019
Factors of 13708945632253478400
- Number of distinct prime factors ω(n): 4
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 39667088056299
Divisors of 13708945632253478400
- Number of divisors d(n): 240
-
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 90 96 100 108 120 128 135 144 150 160 180 192 200 216 225 240 256 270 288 300 320 360 384 400 432 450 480 512 540 576 600 640 675 720 768 800 864 900 960 1080 1152 1200 1280 1350 1440 1536 1600 1728 1800 1920 2160 2304 2400 2560 2700 2880 3200 3456 3600 3840 4320 4608 4800 5400 5760 6400 6912 7200 7680 8640 9600 10800 11520 12800 13824 14400 17280 19200 21600 23040 28800 34560 38400 43200 57600 69120 86400 115200 172800 345600 39667088056289 79334176112578 119001264168867 158668352225156 198335440281445 238002528337734 317336704450312 357003792506601 396670880562890 476005056675468 595006320844335 634673408900624 714007585013202 793341761125780 952010113350936 991677201407225 1071011377519803 1190012641688670 1269346817801248 1428015170026404 1586683522251560 1785018962533005 1904020226701872 1983354402814450 2142022755039606 2380025283377340 2538693635602496 2856030340052808 2975031604221675 3173367044503120 3570037925066010 3808040453403744 3966708805628900 4284045510079212 4760050566754680 5077387271204992 5355056887599015 5712060680105616 5950063208443350 6346734089006240 7140075850132020 7616080906807488 7933417611257800 8568091020158424 8925094812665025 9520101133509360 10154774542409984 10710113775198030 11424121360211232 11900126416886700 12693468178012480 14280151700264040 15232161813614976 15866835222515600 17136182040316848 17850189625330050 19040202267018720 20309549084819968 21420227550396060 22848242720422464 23800252833773400 25386936356024960 26775284437995075 28560303400528080 30464323627229952 31733670445031200 34272364080633696 35700379250660100 38080404534037440 42840455100792120 45696485440844928 47600505667546800 50773872712049920 53550568875990150 57120606801056160 60928647254459904 63467340890062400 68544728161267392 71400758501320200 76160809068074880 85680910201584240 91392970881689856 95201011335093600 101547745424099840 107101137751980300 114241213602112320 126934681780124800 137089456322534784 142801517002640400 152321618136149760 171361820403168480 182785941763379712 190402022670187200 214202275503960600 228482427204224640 253869363560249600 274178912645069568 285603034005280800 304643236272299520 342723640806336960 380804045340374400 428404551007921200 456964854408449280 507738727120499200 548357825290139136 571206068010561600 685447281612673920 761608090680748800 856809102015842400 913929708816898560 1142412136021123200 1370894563225347840 1523216181361497600 1713618204031684800 2284824272042246400 2741789126450695680 3427236408063369600 4569648544084492800 6854472816126739200 13708945632253478400
- Sum of all divisors σ(n): 50318494541164990800
- Sum of proper divisors (its aliquot sum) s(n): 36609548908911512400
- 13708945632253478400 is an abundant number, because the sum of its proper divisors (36609548908911512400) is greater than itself. Its abundance is 22900603276658034000
Bases of 13708945632253478400
- Binary: 10111110001111111111010101101011010111111001110010000110000000002
- Hexadecimal: 0xBE3FF56B5F9C8600
- Base-36: 2W5JRNDAKL1C0
Squares and roots of 13708945632253478400
- 13708945632253478400 squared (137089456322534784002) is 187935190348081722633036948899266560000
- 13708945632253478400 cubed (137089456322534784003) is 2576393306869061002422334617629473508663533768802304000000
-
The
square root of 13708945632253478400 is 3702559335.4129354723 -
The
cube root of 13708945632253478400 is 2393323.2035127825
Scales and comparisons
How big is 13708945632253478400?- 13,708,945,632,253,478,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 13,708,945,632,253,478,400 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 13708945632253478400 cubic inches would be around 199443.6 feet tall.
Recreational maths with 13708945632253478400
- 13708945632253478400 backwards is 00487435223654980731
- The number of decimal digits it has is: 20
- The sum of 13708945632253478400's digits is 81
- More coming soon!
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