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14201401320 = 23325318771451
BaseRepresentation
bin11010011100111100…
…00010111111101000
31100122201102221020200
431032132002333220
5213041024320240
610305105152200
71011631630251
oct151636027750
940581387220
1014201401320
116028359007
12290402b660
131454266c62
1498a141b28
15581b67930
hex34e782fe8

14201401320 has 192 divisors, whose sum is σ = 47730608640. Its totient is φ = 3658176000.

The previous prime is 14201401307. The next prime is 14201401373. The reversal of 14201401320 is 2310410241.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14201401293 and 14201401302.

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, 9786595 + ... + 9788045.

It is an arithmetic number, because the mean of its divisors is an integer number (248596920).

Almost surely, 214201401320 is an apocalyptic number.

14201401320 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 14201401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23865304320).

14201401320 is an abundant number, since it is smaller than the sum of its proper divisors (33529207320).

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

14201401320 is a wasteful number, since it uses less digits than its factorization.

14201401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14201401320 its reverse (2310410241), we get a palindrome (16511811561).

The spelling of 14201401320 in words is "fourteen billion, two hundred one million, four hundred one thousand, three hundred twenty".