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41830266240 = 273457196067
BaseRepresentation
bin100110111101010001…
…110011010110000000
310222222020000200210000
4212331101303112000
51141132022004430
631114435440000
73010410252660
oct467521632600
9128866020700
1041830266240
1116816105174
128134a56000
133c3830b839
14204b6c21a0
15114c51ce60
hex9bd473580

41830266240 has 640 divisors, whose sum is σ = 179739014400. Its totient is φ = 9056489472.

The previous prime is 41830266229. The next prime is 41830266241. The reversal of 41830266240 is 4266203814.

41830266240 is a `hidden beast` number, since 4 + 1 + 8 + 3 + 0 + 26 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41830266195 and 41830266204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41830266241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6891687 + ... + 6897753.

It is an arithmetic number, because the mean of its divisors is an integer number (280842210).

Almost surely, 241830266240 is an apocalyptic number.

41830266240 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 41830266240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89869507200).

41830266240 is an abundant number, since it is smaller than the sum of its proper divisors (137908748160).

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

41830266240 is a wasteful number, since it uses less digits than its factorization.

41830266240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6124 (or 6103 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 41830266240 in words is "forty-one billion, eight hundred thirty million, two hundred sixty-six thousand, two hundred forty".