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14452104400 = 245236130261
BaseRepresentation
bin11010111010110100…
…11001110011010000
31101022012011222012221
431131122121303100
5214044214320100
610350022430424
71021064601106
oct153532316320
941265158187
1014452104400
116146921a38
122973b92414
131494194686
149b1561c76
15598b8a01a
hex35d699cd0

14452104400 has 30 divisors (see below), whose sum is σ = 34721181782. Its totient is φ = 5780841600.

The previous prime is 14452104353. The next prime is 14452104431. The reversal of 14452104400 is 440125441.

It can be written as a sum of positive squares in 3 ways, for example, as 49224256 + 14402880144 = 7016^2 + 120012^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18064731 + ... + 18065530.

Almost surely, 214452104400 is an apocalyptic number.

14452104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14452104400 is an abundant number, since it is smaller than the sum of its proper divisors (20269077382).

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

14452104400 is a wasteful number, since it uses less digits than its factorization.

14452104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36130279 (or 36130268 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 14452104400 its reverse (440125441), we get a palindrome (14892229841).

The spelling of 14452104400 in words is "fourteen billion, four hundred fifty-two million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 36130261 72260522 144521044 180651305 289042088 361302610 578084176 722605220 903256525 1445210440 1806513050 2890420880 3613026100 7226052200 14452104400