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41544000000 = 293256577
BaseRepresentation
bin100110101100001101…
…110010001000000000
310222020021100212022200
4212230031302020000
51140040231000000
631030212033200
73000333113346
oct465415621000
9128207325280
1041544000000
11166895610a8
128075002800
133bc0c0bc29
142021685996
151132323500
hex9ac372200

41544000000 has 420 divisors, whose sum is σ = 150131320482. Its totient is φ = 11059200000.

The previous prime is 41543999993. The next prime is 41544000037. The reversal of 41544000000 is 44514.

It can be written as a sum of positive squares in 7 ways, for example, as 8431646976 + 33112353024 = 91824^2 + 181968^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 71999712 + ... + 72000288.

Almost surely, 241544000000 is an apocalyptic number.

41544000000 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 41544000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75065660241).

41544000000 is an abundant number, since it is smaller than the sum of its proper divisors (108587320482).

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

41544000000 is an frugal number, since it uses more digits than its factorization.

41544000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 41544000000 its reverse (44514), we get a palindrome (41544044514).

The spelling of 41544000000 in words is "forty-one billion, five hundred forty-four million", and thus it is an aban number.