13648708450143712000
13,648,708,450,143,712,000 is an even composite number composed of five prime numbers multiplied together.
13648708450143712000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13648708450143712000:
28 × 53 × 11 × 331 × 117144229351
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 331 × 117144229351)See below for interesting mathematical facts about the number 13648708450143712000 from the Numbermatics database.
Names of 13648708450143712000
- Cardinal: 13648708450143712000 can be written as Thirteen quintillion, six hundred forty-eight quadrillion, seven hundred eight trillion, four hundred fifty billion, one hundred forty-three million, seven hundred twelve thousand.
Scientific notation
- Scientific notation: 1.3648708450143712 × 1019
Factors of 13648708450143712000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 117144229700
Divisors of 13648708450143712000
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 256 275 320 331 352 400 440 500 550 640 662 704 800 880 1000 1100 1280 1324 1375 1408 1600 1655 1760 2000 2200 2648 2750 2816 3200 3310 3520 3641 4000 4400 5296 5500 6400 6620 7040 7282 8000 8275 8800 10592 11000 13240 14080 14564 16000 16550 17600 18205 21184 22000 26480 29128 32000 33100 35200 36410 41375 42368 44000 52960 58256 66200 70400 72820 82750 84736 88000 91025 105920 116512 132400 145640 165500 176000 182050 211840 233024 264800 291280 331000 352000 364100 423680 455125 466048 529600 582560 662000 728200 910250 932096 1059200 1165120 1324000 1456400 1820500 2118400 2330240 2648000 2912800 3641000 4660480 5296000 5825600 7282000 10592000 11651200 14564000 23302400 29128000 58256000 116512000 117144229351 234288458702 468576917404 585721146755 937153834808 1171442293510 1288586522861 1874307669616 2342884587020 2577173045722 2928605733775 3748615339232 4685769174040 5154346091444 5857211467550 6442932614305 7497230678464 9371538348080 10308692182888 11714422935100 12885865228610 14643028668875 14994461356928 18743076696160 20617384365776 23428845870200 25771730457220 29286057337750 29988922713856 32214663071525 37486153392320 38774739915181 41234768731552 46857691740400 51543460914440 58572114675500 64429326143050 74972306784640 77549479830362 82469537463104 93715383480800 103086921828880 117144229351000 128858652286100 149944613569280 155098959660724 161073315357625 164939074926208 187430766961600 193873699575905 206173843657760 234288458702000 257717304572200 310197919321448 322146630715250 329878149852416 374861533923200 387747399151810 412347687315520 426522139066991 468576917404000 515434609144400 620395838642896 644293261430500 749723067846400 775494798303620 824695374631040 853044278133982 937153834808000 969368497879525 1030869218288800 1240791677285792 1288586522861000 1550989596607240 1649390749262080 1706088556267964 1874307669616000 1938736995759050 2061738436577600 2132610695334955 2481583354571584 2577173045722000 3101979193214480 3412177112535928 3748615339232000 3877473991518100 4123476873155200 4265221390669910 4846842489397625 4963166709143168 5154346091444000 6203958386428960 6824354225071856 7754947983036200 8246953746310400 8530442781339820 9693684978795250 9926333418286336 10308692182888000 10663053476674775 12407916772857920 13648708450143712 15509895966072400 17060885562679640 19387369957590500 20617384365776000 21326106953349550 24815833545715840 27297416900287424 31019791932144800 34121771125359280 38774739915181000 41234768731552000 42652213906699100 49631667091431680 53315267383373875 54594833800574848 62039583864289600 68243542250718560 77549479830362000 85304427813398200 106630534766747750 109189667601149696 124079167728579200 136487084501437120 155098959660724000 170608855626796400 213261069533495500 248158335457158400 272974169002874240 310197919321448000 341217711253592800 426522139066991000 545948338005748480 620395838642896000 682435422507185600 853044278133982000 1240791677285792000 1364870845014371200 1706088556267964000 2729741690028742400 3412177112535928000 6824354225071856000 13648708450143712000
- Sum of all divisors σ(n): 37203665237903743488
- Sum of proper divisors (its aliquot sum) s(n): 23554956787760031488
- 13648708450143712000 is an abundant number, because the sum of its proper divisors (23554956787760031488) is greater than itself. Its abundance is 9906248337616319488
Bases of 13648708450143712000
- Binary: 10111101011010011111010000000101011111011011000000110011000000002
- Hexadecimal: 0xBD69F4057DB03300
- Base-36: 2VP2NCLUUDRLS
Squares and roots of 13648708450143712000
- 13648708450143712000 squared (136487084501437120002) is 186287242357024368877553453138944000000
- 13648708450143712000 cubed (136487084501437120003) is 2542580258912288132528593517284314958734303920128000000000
-
The
square root of 13648708450143712000 is 3694415846.9430200299 -
The
cube root of 13648708450143712000 is 2389812.6315735381
Scales and comparisons
How big is 13648708450143712000?- 13,648,708,450,143,712,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,648,708,450,143,712,000 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 13648708450143712000 cubic inches would be around 199151.1 feet tall.
Recreational maths with 13648708450143712000
- 13648708450143712000 backwards is 00021734105480784631
- 13648708450143712000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13648708450143712000's digits is 64
- More coming soon!
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