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14204400532 = 22719197135533
BaseRepresentation
bin11010011101010010…
…11111001110010100
31100122221002022101121
431032221133032110
5213042311304112
610305253333324
71011666261310
oct151651371624
940587068347
1014204400532
11602a0173a3
122905037244
131454a7713a
1498a6c2b40
1558205b407
hex34ea5f394

14204400532 has 48 divisors (see below), whose sum is σ = 30056019840. Its totient is φ = 5737882752.

The previous prime is 14204400481. The next prime is 14204400533. The reversal of 14204400532 is 23500440241.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 14204400497 and 14204400506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14204400533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37038 + ... + 172570.

It is an arithmetic number, because the mean of its divisors is an integer number (626167080).

Almost surely, 214204400532 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 14204400532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15028009920).

14204400532 is an abundant number, since it is smaller than the sum of its proper divisors (15851619308).

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

14204400532 is a wasteful number, since it uses less digits than its factorization.

14204400532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135760 (or 135758 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 14204400532 its reverse (23500440241), we get a palindrome (37704840773).

It can be divided in two parts, 14204 and 400532, that added together give a square (414736 = 6442).

The spelling of 14204400532 in words is "fourteen billion, two hundred four million, four hundred thousand, five hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 197 266 394 532 788 1379 2758 3743 5516 7486 14972 26201 52402 104804 135533 271066 542132 948731 1897462 2575127 3794924 5150254 10300508 18025889 26700001 36051778 53400002 72103556 106800004 186900007 373800014 507300019 747600028 1014600038 2029200076 3551100133 7102200266 14204400532