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41331013152 = 253111321012293
BaseRepresentation
bin100110011111100001…
…010011011000100000
310221200102121000021220
4212133201103120200
51134121214410102
630553123015040
72662135546422
oct463741233040
9127612530256
1041331013152
111658a308a10
12801580a480
133b88a58700
142001282812
15111d7a11bc
hex99f853620

41331013152 has 288 divisors, whose sum is σ = 129487087296. Its totient is φ = 11441664000.

The previous prime is 41331013151. The next prime is 41331013153. The reversal of 41331013152 is 25131013314.

It is an interprime number because it is at equal distance from previous prime (41331013151) and next prime (41331013153).

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

It is not an unprimeable number, because it can be changed into a prime (41331013151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18023718 + ... + 18026010.

It is an arithmetic number, because the mean of its divisors is an integer number (449607942).

Almost surely, 241331013152 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 41331013152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64743543648).

41331013152 is an abundant number, since it is smaller than the sum of its proper divisors (88156074144).

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

41331013152 is a wasteful number, since it uses less digits than its factorization.

41331013152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 41331013152 its reverse (25131013314), we get a palindrome (66462026466).

The spelling of 41331013152 in words is "forty-one billion, three hundred thirty-one million, thirteen thousand, one hundred fifty-two".