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14143212000 = 253253794973
BaseRepresentation
bin11010010110000000…
…00100100111100000
31100111122221121111200
431023000010213200
5212431130241000
610255230041200
71010324214141
oct151300044740
940448847450
1014143212000
115aa8524565
1228a8649200
1314451a21c8
14982515ac8
1557b9c1500
hex34b0049e0

14143212000 has 288 divisors, whose sum is σ = 50839850880. Its totient is φ = 3723033600.

The previous prime is 14143211989. The next prime is 14143212011. The reversal of 14143212000 is 21234141.

14143212000 is a `hidden beast` number, since 141 + 4 + 321 + 200 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14143211989) and next prime (14143212011).

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 2841514 + ... + 2846486.

It is an arithmetic number, because the mean of its divisors is an integer number (176527260).

Almost surely, 214143212000 is an apocalyptic number.

14143212000 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 14143212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25419925440).

14143212000 is an abundant number, since it is smaller than the sum of its proper divisors (36696638880).

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

14143212000 is a wasteful number, since it uses less digits than its factorization.

14143212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5083 (or 5062 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14143212000 its reverse (21234141), we get a palindrome (14164446141).

The spelling of 14143212000 in words is "fourteen billion, one hundred forty-three million, two hundred twelve thousand".