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14121014130 = 232517191992441
BaseRepresentation
bin11010010011010110…
…11001001101110010
31100110010011211202100
431021223121031302
5212404434423010
610253114201230
71006634432256
oct151153311562
940403154670
1014121014130
115a96a42a13
1228a1123216
1314406cc582
1497d5b8266
15579a892c0
hex349ad9372

14121014130 has 192 divisors, whose sum is σ = 41142816000. Its totient is φ = 3339325440.

The previous prime is 14121014129. The next prime is 14121014153. The reversal of 14121014130 is 3141012141.

14121014130 is a `hidden beast` number, since 1 + 41 + 210 + 1 + 413 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5783710 + ... + 5786150.

It is an arithmetic number, because the mean of its divisors is an integer number (214285500).

Almost surely, 214121014130 is an apocalyptic number.

14121014130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14121014130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20571408000).

14121014130 is an abundant number, since it is smaller than the sum of its proper divisors (27021801870).

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

14121014130 is a wasteful number, since it uses less digits than its factorization.

14121014130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2689 (or 2686 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 14121014130 its reverse (3141012141), we get a palindrome (17262026271).

The spelling of 14121014130 in words is "fourteen billion, one hundred twenty-one million, fourteen thousand, one hundred thirty".