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14121211104 = 25327112136173
BaseRepresentation
bin11010010011011000…
…01001010011100000
31100110010112211221200
431021230021103200
5212410012223404
610253122321200
71006636212450
oct151154112340
940403484850
1014121211104
115a97067a00
1228a11b9200
13144076b120
1497d629d60
15579ac7839
hex349b094e0

14121211104 has 864 divisors, whose sum is σ = 55972792512. Its totient is φ = 3284582400.

The previous prime is 14121211037. The next prime is 14121211163. The reversal of 14121211104 is 40111212141.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 193441212 + ... + 193441284.

Almost surely, 214121211104 is an apocalyptic number.

14121211104 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 14121211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27986396256).

14121211104 is an abundant number, since it is smaller than the sum of its proper divisors (41851581408).

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

14121211104 is a wasteful number, since it uses less digits than its factorization.

14121211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 14121211104 its reverse (40111212141), we get a palindrome (54232423245).

The spelling of 14121211104 in words is "fourteen billion, one hundred twenty-one million, two hundred eleven thousand, one hundred four".