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14401402400 = 2552711389601
BaseRepresentation
bin11010110100110001…
…11111011000100000
31101011122210001011002
431122120333120200
5213443224334100
610341012011132
71016610620630
oct153230773040
941148701132
1014401402400
116120241860
12295b000aa8
1314868218a8
149a89246c0
155944c22d5
hex35a63f620

14401402400 has 288 divisors, whose sum is σ = 44018432640. Its totient is φ = 4469760000.

The previous prime is 14401402391. The next prime is 14401402447. The reversal of 14401402400 is 420410441.

It is a happy number.

14401402400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23962100 + ... + 23962700.

It is an arithmetic number, because the mean of its divisors is an integer number (152841780).

Almost surely, 214401402400 is an apocalyptic number.

14401402400 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 14401402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22009216320).

14401402400 is an abundant number, since it is smaller than the sum of its proper divisors (29617030240).

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

14401402400 is a wasteful number, since it uses less digits than its factorization.

14401402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 14401402400 its reverse (420410441), we get a palindrome (14821812841).

The spelling of 14401402400 in words is "fourteen billion, four hundred one million, four hundred two thousand, four hundred".