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41241132240 = 24357211318809
BaseRepresentation
bin100110011010001010…
…011011110011010000
310221110011110120212020
4212122022123303100
51133430212212430
630540152331440
72656664561100
oct463212336320
9127404416766
1041241132240
11165435a9070
127bab6a3b80
133b73248a39
141dd3367200
151115949b10
hex99a29bcd0

41241132240 has 240 divisors, whose sum is σ = 162241133760. Its totient is φ = 8569559040.

The previous prime is 41241132211. The next prime is 41241132293. The reversal of 41241132240 is 4223114214.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×412411322404 (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41241132240.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 30045 + ... + 288764.

It is an arithmetic number, because the mean of its divisors is an integer number (676004724).

Almost surely, 241241132240 is an apocalyptic number.

41241132240 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 41241132240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81120566880).

41241132240 is an abundant number, since it is smaller than the sum of its proper divisors (121000001520).

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

41241132240 is a wasteful number, since it uses less digits than its factorization.

41241132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318850 (or 318837 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 41241132240 its reverse (4223114214), we get a palindrome (45464246454).

The spelling of 41241132240 in words is "forty-one billion, two hundred forty-one million, one hundred thirty-two thousand, two hundred forty".