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14113223120 = 245521338609
BaseRepresentation
bin11010010010011011…
…01011000111010000
31100102120112000111102
431021031223013100
5212400441114440
610252235203532
71006511263043
oct151115530720
940376460442
1014113223120
115a92601467
12289a5a65a8
13143bc022c9
1497c54ac5a
1557904ab15
hex34936b1d0

14113223120 has 40 divisors (see below), whose sum is σ = 32876322120. Its totient is φ = 5634437120.

The previous prime is 14113223083. The next prime is 14113223129. The reversal of 14113223120 is 2132231141.

It can be written as a sum of positive squares in 4 ways, for example, as 3526459456 + 10586763664 = 59384^2 + 102892^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×141132231203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14113223092 and 14113223101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14113223129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127625 + ... + 210984.

It is an arithmetic number, because the mean of its divisors is an integer number (821908053).

Almost surely, 214113223120 is an apocalyptic number.

14113223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14113223120 is an abundant number, since it is smaller than the sum of its proper divisors (18763099000).

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

14113223120 is a wasteful number, since it uses less digits than its factorization.

14113223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339143 (or 339137 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 14113223120 its reverse (2132231141), we get a palindrome (16245454261).

The spelling of 14113223120 in words is "fourteen billion, one hundred thirteen million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 521 1042 2084 2605 4168 5210 8336 10420 20840 41680 338609 677218 1354436 1693045 2708872 3386090 5417744 6772180 13544360 27088720 176415289 352830578 705661156 882076445 1411322312 1764152890 2822644624 3528305780 7056611560 14113223120