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41255424000 = 212325371279
BaseRepresentation
bin100110011011000000…
…111101000000000000
310221111011100200110200
4212123000331000000
51133442342032000
630541422525200
72660230214040
oct463300750000
9127434320420
1041255424000
111655067a73a
127bb4436800
133b761b0bbb
141dd5207720
151116d1e500
hex99b03d000

41255424000 has 624 divisors, whose sum is σ = 170100203520. Its totient is φ = 9422438400.

The previous prime is 41255423981. The next prime is 41255424017. The reversal of 41255424000 is 42455214.

41255424000 is a `hidden beast` number, since 4 + 1 + 255 + 4 + 2 + 400 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32255361 + ... + 32256639.

It is an arithmetic number, because the mean of its divisors is an integer number (272596480).

Almost surely, 241255424000 is an apocalyptic number.

41255424000 is a gapful number since it is divisible by the number (40) 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 41255424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85050101760).

41255424000 is an abundant number, since it is smaller than the sum of its proper divisors (128844779520).

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

41255424000 is a wasteful number, since it uses less digits than its factorization.

41255424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 41255424000 its reverse (42455214), we get a palindrome (41297879214).

The spelling of 41255424000 in words is "forty-one billion, two hundred fifty-five million, four hundred twenty-four thousand".