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131143134323344 = 241113505111347813
BaseRepresentation
bin11101110100011000100011…
…111011111010001010010000
3122012100011100111220201022211
4131310120203323322022100
5114142122114341321334
61142530154005441504
736423531060140653
oct3564304373721220
9565304314821284
10131143134323344
1138871544481830
1212860502410294
13582398a8977c0
14245550c20389a
151026501ca9a64
hex774623efa290

131143134323344 has 80 divisors (see below), whose sum is σ = 298570246156224. Its totient is φ = 55014192576000.

The previous prime is 131143134323309. The next prime is 131143134323347. The reversal of 131143134323344 is 443323431341131.

It is a junction number, because it is equal to n+sod(n) for n = 131143134323297 and 131143134323306.

It is not an unprimeable number, because it can be changed into a prime (131143134323347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5882782 + ... + 17230594.

Almost surely, 2131143134323344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131143134323344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149285123078112).

131143134323344 is an abundant number, since it is smaller than the sum of its proper divisors (167427111832880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131143134323344 is a wasteful number, since it uses less digits than its factorization.

131143134323344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11352896 (or 11352890 counting only the distinct ones).

The product of its digits is 373248, while the sum is 40.

Adding to 131143134323344 its reverse (443323431341131), we get a palindrome (574466565664475).

The spelling of 131143134323344 in words is "one hundred thirty-one trillion, one hundred forty-three billion, one hundred thirty-four million, three hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 2288 5051 10102 20204 40408 55561 65663 80816 111122 131326 222244 262652 444488 525304 722293 888976 1050608 1444586 2889172 5778344 11347813 11556688 22695626 45391252 90782504 124825943 147521569 181565008 249651886 295043138 499303772 590086276 998607544 1180172552 1622737259 1997215088 2360345104 3245474518 6490949036 12981898072 25963796144 57317803463 114635606926 229271213852 458542427704 630495838093 745131445019 917084855408 1260991676186 1490262890038 2521983352372 2980525780076 5043966704744 5961051560152 8196445895209 10087933409488 11922103120304 16392891790418 32785783580836 65571567161672 131143134323344