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14103217920 = 2835112127239
BaseRepresentation
bin11010010001001111…
…00000011100000000
31100101212200200221110
431020213200130000
5212340410433140
610251240523320
71006330242261
oct151047403400
940355620843
1014103217920
115a87998400
122897180540
131439b0b27c
1497b0a4968
15578221380
hex3489e0700

14103217920 has 432 divisors, whose sum is σ = 50107760640. Its totient is φ = 3377848320.

The previous prime is 14103217897. The next prime is 14103217939. The reversal of 14103217920 is 2971230141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59009161 + ... + 59009399.

Almost surely, 214103217920 is an apocalyptic number.

14103217920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14103217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25053880320).

14103217920 is an abundant number, since it is smaller than the sum of its proper divisors (36004542720).

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

14103217920 is a wasteful number, since it uses less digits than its factorization.

14103217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The spelling of 14103217920 in words is "fourteen billion, one hundred three million, two hundred seventeen thousand, nine hundred twenty".