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14030139600 = 2435521971107
BaseRepresentation
bin11010001000100001…
…01111000011010000
31100012210011221100000
431010100233003100
5212213203431400
610240110330000
71004452135041
oct150420570320
940183157300
1014030139600
115a4a7145a4
1228767b9900
131427932569
149714c08c8
15571ad8600
hex34442f0d0

14030139600 has 720 divisors, whose sum is σ = 54401518080. Its totient is φ = 3461875200.

The previous prime is 14030139583. The next prime is 14030139647. The reversal of 14030139600 is 693103041.

14030139600 is a `hidden beast` number, since 1 + 40 + 3 + 0 + 13 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131122747 + ... + 131122853.

It is an arithmetic number, because the mean of its divisors is an integer number (75557664).

Almost surely, 214030139600 is an apocalyptic number.

14030139600 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 14030139600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27200759040).

14030139600 is an abundant number, since it is smaller than the sum of its proper divisors (40371378480).

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

14030139600 is a wasteful number, since it uses less digits than its factorization.

14030139600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 14030139600 in words is "fourteen billion, thirty million, one hundred thirty-nine thousand, six hundred".