Search a number
-
+
14114023232 = 2619233173223
BaseRepresentation
bin11010010010100001…
…01110011101000000
31100102122000200001012
431021100232131000
5212401142220412
610252304300052
71006521134531
oct151120563500
940378020035
1014114023232
115a92aa8611
12289a911628
13143c12254a
1497c6b8688
15579157c22
hex34942e740

14114023232 has 224 divisors, whose sum is σ = 32335134720. Its totient is φ = 6076477440.

The previous prime is 14114023223. The next prime is 14114023241. The reversal of 14114023232 is 23232041141.

It is an interprime number because it is at equal distance from previous prime (14114023223) and next prime (14114023241).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 14114023198 and 14114023207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63291473 + ... + 63291695.

It is an arithmetic number, because the mean of its divisors is an integer number (144353280).

Almost surely, 214114023232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14114023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16167567360).

14114023232 is an abundant number, since it is smaller than the sum of its proper divisors (18221111488).

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

14114023232 is a wasteful number, since it uses less digits than its factorization.

14114023232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 14114023232 its reverse (23232041141), we get a palindrome (37346064373).

The spelling of 14114023232 in words is "fourteen billion, one hundred fourteen million, twenty-three thousand, two hundred thirty-two".