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13423323110400 = 210385273233
BaseRepresentation
bin1100001101010101110001…
…1001111101110000000000
31202112020221110121200000000
43003111130121331300000
53224411431204013100
644314331200000000
72553542313564000
oct303253431756000
952466843550000
1013423323110400
114305887a50145
121609643900000
13764a772b57a8
14345999984000
15184288916900
hexc355c67dc00

13423323110400 has 2376 divisors, whose sum is σ = 58451359543200. Its totient is φ = 3055019950080.

The previous prime is 13423323110377. The next prime is 13423323110419. The reversal of 13423323110400 is 401132332431.

It is a happy number.

13423323110400 is a `hidden beast` number, since 1 + 3 + 4 + 23 + 3 + 231 + 1 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 57610828684 + ... + 57610828916.

Almost surely, 213423323110400 is an apocalyptic number.

13423323110400 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 13423323110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29225679771600).

13423323110400 is an abundant number, since it is smaller than the sum of its proper divisors (45028036432800).

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

13423323110400 is an frugal number, since it uses more digits than its factorization.

13423323110400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13423323110400 its reverse (401132332431), we get a palindrome (13824455442831).

The spelling of 13423323110400 in words is "thirteen trillion, four hundred twenty-three billion, three hundred twenty-three million, one hundred ten thousand, four hundred".