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14104430424 = 23337151163379
BaseRepresentation
bin11010010001011000…
…01000011101011000
31100101221222022012000
431020230020131120
5212341213233144
610251322521000
71006343452260
oct151054103530
940357868160
1014104430424
115a88646377
122897666160
13143a144126
1497b2dc7a0
155783b0769
hex348b08758

14104430424 has 256 divisors, whose sum is σ = 45468672000. Its totient is φ = 3968092800.

The previous prime is 14104430423. The next prime is 14104430447. The reversal of 14104430424 is 42403440141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14104430423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37214667 + ... + 37215045.

It is an arithmetic number, because the mean of its divisors is an integer number (177612000).

Almost surely, 214104430424 is an apocalyptic number.

14104430424 is a gapful number since it is divisible by the number (14) 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 14104430424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22734336000).

14104430424 is an abundant number, since it is smaller than the sum of its proper divisors (31364241576).

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

14104430424 is a wasteful number, since it uses less digits than its factorization.

14104430424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14104430424 its reverse (42403440141), we get a palindrome (56507870565).

The spelling of 14104430424 in words is "fourteen billion, one hundred four million, four hundred thirty thousand, four hundred twenty-four".