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14122433052 = 223371317181467
BaseRepresentation
bin11010010011100001…
…10011101000011100
31100110012211221011000
431021300303220130
5212410320324202
610253204430300
71006652462130
oct151160635034
940405757130
1014122433052
115a97821a82
1228a16a8390
131440aa8380
1497d8673c0
15579c6991c
hex349c33a1c

14122433052 has 384 divisors, whose sum is σ = 48080148480. Its totient is φ = 3478671360.

The previous prime is 14122433041. The next prime is 14122433057. The reversal of 14122433052 is 25033422141.

14122433052 is a `hidden beast` number, since 1 + 412 + 243 + 3 + 0 + 5 + 2 = 666.

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 (14122433057) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30240523 + ... + 30240989.

It is an arithmetic number, because the mean of its divisors is an integer number (125208720).

Almost surely, 214122433052 is an apocalyptic number.

14122433052 is a gapful number since it is divisible by the number (12) 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 14122433052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24040074240).

14122433052 is an abundant number, since it is smaller than the sum of its proper divisors (33957715428).

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

14122433052 is a wasteful number, since it uses less digits than its factorization.

14122433052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14122433052 its reverse (25033422141), we get a palindrome (39155855193).

The spelling of 14122433052 in words is "fourteen billion, one hundred twenty-two million, four hundred thirty-three thousand, fifty-two".