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131231400141344 = 2533712169083841
BaseRepresentation
bin11101110101101010110000…
…111111010010001000100000
3122012122121011220121211222012
4131311222300333102020200
5114200043401414010334
61143034512320332052
736433104301205216
oct3565526077221040
9565577156554865
10131231400141344
11388a5a19203258
1212875636474028
13582c0b6332b89
1424598c2a7ccb6
15102896ac7e9ce
hex775ab0fd2220

131231400141344 has 24 divisors (see below), whose sum is σ = 259128471331548. Its totient is φ = 65420994723840.

The previous prime is 131231400141343. The next prime is 131231400141407. The reversal of 131231400141344 is 443141004132131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 130662914300944 + 568485840400 = 11430788^2 + 753980^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 131231400141344.

It is not an unprimeable number, because it can be changed into a prime (131231400141343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6084531137 + ... + 6084552704.

Almost surely, 2131231400141344 is an apocalyptic number.

It is an amenable number.

131231400141344 is a deficient number, since it is larger than the sum of its proper divisors (127897071190204).

131231400141344 is a wasteful number, since it uses less digits than its factorization.

131231400141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12169084188 (or 12169084180 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 131231400141344 its reverse (443141004132131), we get a palindrome (574372404273475).

The spelling of 131231400141344 in words is "one hundred thirty-one trillion, two hundred thirty-one billion, four hundred million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 337 674 1348 2696 5392 10784 12169083841 24338167682 48676335364 97352670728 194705341456 389410682912 4100981254417 8201962508834 16403925017668 32807850035336 65615700070672 131231400141344