13135448746179297600
13,135,448,746,179,297,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 13135448746179297600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 168 divisors.
13135448746179297600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 13135448746179297600:
26 × 3 × 52 × 61 × 44861505280667
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 61 × 44861505280667)See below for interesting mathematical facts about the number 13135448746179297600 from the Numbermatics database.
Names of 13135448746179297600
- Cardinal: 13135448746179297600 can be written as Thirteen quintillion, one hundred thirty-five quadrillion, four hundred forty-eight trillion, seven hundred forty-six billion, one hundred seventy-nine million, two hundred ninety-seven thousand, six hundred.
Scientific notation
- Scientific notation: 1.31354487461792976 × 1019
Factors of 13135448746179297600
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 44861505280738
Divisors of 13135448746179297600
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 61 64 75 80 96 100 120 122 150 160 183 192 200 240 244 300 305 320 366 400 480 488 600 610 732 800 915 960 976 1200 1220 1464 1525 1600 1830 1952 2400 2440 2928 3050 3660 3904 4575 4800 4880 5856 6100 7320 9150 9760 11712 12200 14640 18300 19520 24400 29280 36600 48800 58560 73200 97600 146400 292800 44861505280667 89723010561334 134584515842001 179446021122668 224307526403335 269169031684002 358892042245336 448615052806670 538338063368004 672922579210005 717784084490672 897230105613340 1076676126736008 1121537632016675 1345845158420010 1435568168981344 1794460211226680 2153352253472016 2243075264033350 2691690316840020 2736551822120687 2871136337962688 3364612896050025 3588920422453360 4306704506944032 4486150528066700 5383380633680040 5473103644241374 6729225792100050 7177840844906720 8209655466362061 8613409013888064 8972301056133400 10766761267360080 10946207288482748 13458451584200100 13682759110603435 14355681689813440 16419310932724122 17944602112266800 21533522534720160 21892414576965496 26916903168400200 27365518221206870 32838621865448244 35889204224533600 41048277331810305 43067045069440320 43784829153930992 53833806336800400 54731036442413740 65677243730896488 68413795553017175 71778408449067200 82096554663620610 87569658307861984 107667612673600800 109462072884827480 131354487461792976 136827591106034350 164193109327241220 175139316615723968 205241386659051525 215335225347201600 218924145769654960 262708974923585952 273655182212068700 328386218654482440 410482773318103050 437848291539309920 525417949847171904 547310364424137400 656772437308964880 820965546636206100 875696583078619840 1094620728848274800 1313544874617929760 1641931093272412200 2189241457696549600 2627089749235859520 3283862186544824400 4378482915393099200 6567724373089648800 13135448746179297600
- Sum of all divisors σ(n): 43801697079917499168
- Sum of proper divisors (its aliquot sum) s(n): 30666248333738201568
- 13135448746179297600 is an abundant number, because the sum of its proper divisors (30666248333738201568) is greater than itself. Its abundance is 17530799587558903968
Bases of 13135448746179297600
- Binary: 10110110010010100111110100001010010000010101111000000001010000002
- Hexadecimal: 0xB64A7D0A415E0140
- Base-36: 2RSOVYWY6TFEO
Squares and roots of 13135448746179297600
- 13135448746179297600 squared (131354487461792976002) is 172540013763503281386193766829365760000
- 13135448746179297600 cubed (131354487461792976003) is 2266390507455567928422927162156478083694801850290176000000
-
The
square root of 13135448746179297600 is 3624285963.6319120893 -
The
cube root of 13135448746179297600 is 2359472.7795149173
Scales and comparisons
How big is 13135448746179297600?- 13,135,448,746,179,297,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,135,448,746,179,297,600 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 13135448746179297600 cubic inches would be around 196622.7 feet tall.
Recreational maths with 13135448746179297600
- 13135448746179297600 backwards is 00679297164784453131
- The number of decimal digits it has is: 20
- The sum of 13135448746179297600's digits is 87
- More coming soon!
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