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14201400500 = 225373174871
BaseRepresentation
bin11010011100111100…
…00010110010110100
31100122201102220010022
431032132002302310
5213041024304000
610305105144312
71011631625000
oct151636026264
940581386108
1014201400500
116028358431
12290402b098
131454266781
1498a141700
15581b67585
hex34e782cb4

14201400500 has 192 divisors, whose sum is σ = 38305612800. Its totient is φ = 4581696000.

The previous prime is 14201400481. The next prime is 14201400503. The reversal of 14201400500 is 500410241.

14201400500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×142014005002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14201400503) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2913065 + ... + 2917935.

It is an arithmetic number, because the mean of its divisors is an integer number (199508400).

Almost surely, 214201400500 is an apocalyptic number.

14201400500 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 14201400500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19152806400).

14201400500 is an abundant number, since it is smaller than the sum of its proper divisors (24104212300).

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

14201400500 is a wasteful number, since it uses less digits than its factorization.

14201400500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4928 (or 4902 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 14201400500 its reverse (500410241), we get a palindrome (14701810741).

The spelling of 14201400500 in words is "fourteen billion, two hundred one million, four hundred thousand, five hundred".