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12142401140013 = 317280185000463
BaseRepresentation
bin1011000010110001111110…
…0000011011010100101101
31120222210122210221112102020
42300230133200123110231
53042420114142440023
641454050404420353
72362155006514014
oct260543740332455
946883583845366
1012142401140013
113961621989a81
1214413416a76b9
136a103c879391
142dd9a4085a7b
15160cb9840de3
hexb0b1f81b52d

12142401140013 has 16 divisors (see below), whose sum is σ = 17148333609216. Its totient is φ = 7616041395200.

The previous prime is 12142401139991. The next prime is 12142401140041. The reversal of 12142401140013 is 31004110424121.

It is a happy number.

12142401140013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12142401140013 - 26 = 12142401139949 is a prime.

It is a super-3 number, since 3×121424011400133 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12142401140053) 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, 42357381 + ... + 42643082.

It is an arithmetic number, because the mean of its divisors is an integer number (1071770850576).

Almost surely, 212142401140013 is an apocalyptic number.

It is an amenable number.

12142401140013 is a deficient number, since it is larger than the sum of its proper divisors (5005932469203).

12142401140013 is a wasteful number, since it uses less digits than its factorization.

12142401140013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85003284.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 12142401140013 its reverse (31004110424121), we get a palindrome (43146511564134).

The spelling of 12142401140013 in words is "twelve trillion, one hundred forty-two billion, four hundred one million, one hundred forty thousand, thirteen".

Divisors: 1 3 17 51 2801 8403 47617 142851 85000463 255001389 1445007871 4335023613 238086296863 714258890589 4047467046671 12142401140013