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14114012220 = 223257118312269
BaseRepresentation
bin11010010010100001…
…01011110000111100
31100102122000002221100
431021100223300330
5212401141342340
610252304133100
71006521060450
oct151120536074
940378002840
1014114012220
115a92aa0310
12289a907190
13143c11a529
1497c6b4660
15579154830
hex34942bc3c

14114012220 has 288 divisors, whose sum is σ = 54024122880. Its totient is φ = 2897210880.

The previous prime is 14114012207. The next prime is 14114012239. The reversal of 14114012220 is 2221041141.

14114012220 is a `hidden beast` number, since 1 + 41 + 1 + 401 + 2 + 220 = 666.

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 = 14114012193 and 14114012202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1144246 + ... + 1156514.

It is an arithmetic number, because the mean of its divisors is an integer number (187583760).

Almost surely, 214114012220 is an apocalyptic number.

14114012220 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 14114012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27012061440).

14114012220 is an abundant number, since it is smaller than the sum of its proper divisors (39910110660).

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

14114012220 is a wasteful number, since it uses less digits than its factorization.

14114012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12385 (or 12380 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 14114012220 its reverse (2221041141), we get a palindrome (16335053361).

The spelling of 14114012220 in words is "fourteen billion, one hundred fourteen million, twelve thousand, two hundred twenty".