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41100330024 = 233213174675531
BaseRepresentation
bin100110010001110001…
…010100010000101000
310221002100112002112100
4212101301110100220
51133133141030044
630514202413400
72653335020025
oct462161242050
9127070462470
1041100330024
11164810792a6
127b70501260
133b5001a510
141dbc79454c
1511083d5869
hex991c54428

41100330024 has 192 divisors, whose sum is σ = 127222280640. Its totient is φ = 11874723840.

The previous prime is 41100330023. The next prime is 41100330043. The reversal of 41100330024 is 42003300114.

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

It is a junction number, because it is equal to n+sod(n) for n = 41100329979 and 41100330006.

It is not an unprimeable number, because it can be changed into a prime (41100330023) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7428139 + ... + 7433669.

It is an arithmetic number, because the mean of its divisors is an integer number (662616045).

Almost surely, 241100330024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41100330024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63611140320).

41100330024 is an abundant number, since it is smaller than the sum of its proper divisors (86121950616).

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

41100330024 is a wasteful number, since it uses less digits than its factorization.

41100330024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6040 (or 6033 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 41100330024 its reverse (42003300114), we get a palindrome (83103630138).

The spelling of 41100330024 in words is "forty-one billion, one hundred million, three hundred thirty thousand, twenty-four".