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41044564000 = 2553112114421
BaseRepresentation
bin100110001110011100…
…100101100000100000
310220221110120212221001
4212032130211200200
51133024402022000
630504451241344
72652060015616
oct461634454040
9126843525831
1041044564000
111645264a480
127b558a9254
133b415c377b
141db51d96b6
15110356c46a
hex98e725820

41044564000 has 192 divisors, whose sum is σ = 110560754304. Its totient is φ = 14851200000.

The previous prime is 41044563907. The next prime is 41044564013. The reversal of 41044564000 is 46544014.

It is a self number, because there is not a number n which added to its sum of digits gives 41044564000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9281790 + ... + 9286210.

It is an arithmetic number, because the mean of its divisors is an integer number (575837262).

Almost surely, 241044564000 is an apocalyptic number.

41044564000 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 41044564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55280377152).

41044564000 is an abundant number, since it is smaller than the sum of its proper divisors (69516190304).

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

41044564000 is a wasteful number, since it uses less digits than its factorization.

41044564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4668 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 41044564000 in words is "forty-one billion, forty-four million, five hundred sixty-four thousand".