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14210152000 = 265311315209
BaseRepresentation
bin11010011101111110…
…11011011001000000
31100200022220111220221
431032333123121000
5213100244331000
610310020512424
71012066204402
oct151677333100
940608814827
1014210152000
116032295580
122906b4b714
13145600bc85
1498b37cb72
155827e561a
hex34efdb640

14210152000 has 224 divisors, whose sum is σ = 39636679680. Its totient is φ = 4999680000.

The previous prime is 14210151983. The next prime is 14210152037. The reversal of 14210152000 is 25101241.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2725396 + ... + 2730604.

Almost surely, 214210152000 is an apocalyptic number.

14210152000 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 14210152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19818339840).

14210152000 is an abundant number, since it is smaller than the sum of its proper divisors (25426527680).

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

14210152000 is a wasteful number, since it uses less digits than its factorization.

14210152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 14210152000 its reverse (25101241), we get a palindrome (14235253241).

The spelling of 14210152000 in words is "fourteen billion, two hundred ten million, one hundred fifty-two thousand".