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14545021400 = 23527131037759
BaseRepresentation
bin11011000101111001…
…10110100111011000
31101112200000122101022
431202330312213120
5214242011141100
610403142142012
71023303433130
oct154274664730
941480018338
1014545021400
116194315948
12299b121908
1314aa4c8250
149bda2bac0
155a1de0e85
hex362f369d8

14545021400 has 192 divisors, whose sum is σ = 42030643200. Its totient is φ = 4557980160.

The previous prime is 14545021399. The next prime is 14545021481. The reversal of 14545021400 is 412054541.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 14545021400.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1870721 + ... + 1878479.

It is an arithmetic number, because the mean of its divisors is an integer number (218909600).

Almost surely, 214545021400 is an apocalyptic number.

14545021400 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 14545021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21015321600).

14545021400 is an abundant number, since it is smaller than the sum of its proper divisors (27485621800).

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

14545021400 is a wasteful number, since it uses less digits than its factorization.

14545021400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7898 (or 7889 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

Adding to 14545021400 its reverse (412054541), we get a palindrome (14957075941).

The spelling of 14545021400 in words is "fourteen billion, five hundred forty-five million, twenty-one thousand, four hundred".