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14144303400 = 23352292573163
BaseRepresentation
bin11010010110001000…
…01111000100101000
31100111202000001121220
431023010033010220
5212431420202100
610255305302040
71010336411103
oct151304170450
940452001556
1014144303400
115aa90aa547
1228a8a94920
131445494bc6
1498271b73a
1557bb39aa0
hex34b10f128

14144303400 has 192 divisors, whose sum is σ = 45550209600. Its totient is φ = 3626434560.

The previous prime is 14144303347. The next prime is 14144303419. The reversal of 14144303400 is 430344141.

It is a super-2 number, since 2×141443034002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4470219 + ... + 4473381.

It is an arithmetic number, because the mean of its divisors is an integer number (237240675).

Almost surely, 214144303400 is an apocalyptic number.

14144303400 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 14144303400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22775104800).

14144303400 is an abundant number, since it is smaller than the sum of its proper divisors (31405906200).

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

14144303400 is a wasteful number, since it uses less digits than its factorization.

14144303400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3468 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14144303400 its reverse (430344141), we get a palindrome (14574647541).

The spelling of 14144303400 in words is "fourteen billion, one hundred forty-four million, three hundred three thousand, four hundred".