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13318344000 = 263553131731
BaseRepresentation
bin11000110011101010…
…11100110101000000
31021101011210222100000
430121311130311000
5204233444002000
610041322200000
7651020025153
oct143165346500
937334728300
1013318344000
115714948a75
1226b8353000
131343323230
14904b55c9a
1552e386000
hex319d5cd40

13318344000 has 1344 divisors, whose sum is σ = 58154084352. Its totient is φ = 2985984000.

The previous prime is 13318343981. The next prime is 13318344001. The reversal of 13318344000 is 44381331.

13318344000 is a `hidden beast` number, since 1 + 3 + 318 + 344 + 0 + 0 + 0 = 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 (13318344001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 429623985 + ... + 429624015.

It is an arithmetic number, because the mean of its divisors is an integer number (43269408).

Almost surely, 213318344000 is an apocalyptic number.

13318344000 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 13318344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29077042176).

13318344000 is an abundant number, since it is smaller than the sum of its proper divisors (44835740352).

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

13318344000 is a wasteful number, since it uses less digits than its factorization.

13318344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13318344000 in words is "thirteen billion, three hundred eighteen million, three hundred forty-four thousand".