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14451052500 = 2232546110529
BaseRepresentation
bin11010111010101100…
…11000111111010100
31101022010012112021200
431131112120333110
5214043432140000
610345544112500
71021052630253
oct153526307724
941263175250
1014451052500
1161462736a5
122973765730
131493bb6951
149b136a79a
15598a2d500
hex35d598fd4

14451052500 has 180 divisors, whose sum is σ = 46399413060. Its totient is φ = 3790080000.

The previous prime is 14451052481. The next prime is 14451052529. The reversal of 14451052500 is 525015441.

14451052500 is a `hidden beast` number, since 14 + 45 + 105 + 2 + 500 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 12598266564 + 1852785936 = 112242^2 + 43044^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-4 number, since 4×144510525004 (a number of 42 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1367236 + ... + 1377764.

It is an arithmetic number, because the mean of its divisors is an integer number (257774517).

Almost surely, 214451052500 is an apocalyptic number.

14451052500 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 14451052500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23199706530).

14451052500 is an abundant number, since it is smaller than the sum of its proper divisors (31948360560).

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

14451052500 is a wasteful number, since it uses less digits than its factorization.

14451052500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10620 (or 10600 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

Adding to 14451052500 its reverse (525015441), we get a palindrome (14976067941).

The spelling of 14451052500 in words is "fourteen billion, four hundred fifty-one million, fifty-two thousand, five hundred".