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14143020120 = 23335171940543
BaseRepresentation
bin11010010101111110…
…10101110001011000
31100111122120212022000
431022333111301120
5212431103120440
610255222001000
71010322454545
oct151277256130
940448525260
1014143020120
115aa8403389
1228a8576160
131445135a78
149824a5bcc
1557b984730
hex34afd5c58

14143020120 has 256 divisors, whose sum is σ = 52545024000. Its totient is φ = 3362715648.

The previous prime is 14143020071. The next prime is 14143020149. The reversal of 14143020120 is 2102034141.

14143020120 is a `hidden beast` number, since 1 + 414 + 30 + 201 + 20 = 666.

It is a super-2 number, since 2×141430201202 (a number of 21 digits) contains 22 as substring.

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 = 14143020093 and 14143020102.

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 63 ways as a sum of consecutive naturals, for example, 328569 + ... + 369111.

It is an arithmetic number, because the mean of its divisors is an integer number (205254000).

Almost surely, 214143020120 is an apocalyptic number.

14143020120 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 14143020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26272512000).

14143020120 is an abundant number, since it is smaller than the sum of its proper divisors (38402003880).

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

14143020120 is a wasteful number, since it uses less digits than its factorization.

14143020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40599 (or 40589 counting only the distinct ones).

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

Adding to 14143020120 its reverse (2102034141), we get a palindrome (16245054261).

The spelling of 14143020120 in words is "fourteen billion, one hundred forty-three million, twenty thousand, one hundred twenty".