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14125006350 = 232527134147179
BaseRepresentation
bin11010010011110101…
…00111111000001110
31100110101200200001100
431021322213320032
5212412000200400
610253335523530
71010013400350
oct151172477016
940411620040
1014125006350
115a9921a374
1228a25295a6
131441499730
1497dd370d0
1557a0c7100
hex349ea7e0e

14125006350 has 576 divisors, whose sum is σ = 49136855040. Its totient is φ = 2829772800.

The previous prime is 14125006283. The next prime is 14125006351. The reversal of 14125006350 is 5360052141.

14125006350 is a `hidden beast` number, since 1 + 4 + 1 + 25 + 0 + 0 + 635 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14125006351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 78910561 + ... + 78910739.

It is an arithmetic number, because the mean of its divisors is an integer number (85307040).

Almost surely, 214125006350 is an apocalyptic number.

14125006350 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 14125006350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24568427520).

14125006350 is an abundant number, since it is smaller than the sum of its proper divisors (35011848690).

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

14125006350 is a wasteful number, since it uses less digits than its factorization.

14125006350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 14125006350 its reverse (5360052141), we get a palindrome (19485058491).

The spelling of 14125006350 in words is "fourteen billion, one hundred twenty-five million, six thousand, three hundred fifty".