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41142024 = 233271141181
BaseRepresentation
bin1001110011110…
…0011100001000
32212102020020200
42130330130020
541013021044
64025452200
71006462410
oct234743410
985366220
1041142024
1121250680
1211941060
1386a65c1
14566d640
15392a369
hex273c708

41142024 has 192 divisors, whose sum is σ = 143095680. Its totient is φ = 10368000.

The previous prime is 41141993. The next prime is 41142041. The reversal of 41142024 is 42024114.

It is a super-2 number, since 2×411420242 = 3385332277633152, which contains 22 as substring.

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 = 41141988 and 41142006.

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, 227214 + ... + 227394.

It is an arithmetic number, because the mean of its divisors is an integer number (745290).

Almost surely, 241142024 is an apocalyptic number.

41142024 is a gapful number since it is divisible by the number (44) 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 41142024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71547840).

41142024 is an abundant number, since it is smaller than the sum of its proper divisors (101953656).

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

41142024 is a wasteful number, since it uses less digits than its factorization.

41142024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 41142024 is about 6414.2048610876. The cubic root of 41142024 is about 345.2194193363.

Adding to 41142024 its reverse (42024114), we get a palindrome (83166138).

The spelling of 41142024 in words is "forty-one million, one hundred forty-two thousand, twenty-four".