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41331414324 = 2231937101179271
BaseRepresentation
bin100110011111100010…
…110101010100110100
310221200110100101121010
4212133202311110310
51134121320224244
630553135352220
72662142140134
oct463742652464
9127613311533
1041331414324
111658a562362
128015982670
133b88b691a5
142001348ac4
15111d82eeb9
hex99f8b5534

41331414324 has 192 divisors, whose sum is σ = 106270617600. Its totient is φ = 12457152000.

The previous prime is 41331414323. The next prime is 41331414331. The reversal of 41331414324 is 42341413314.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 41331414291 and 41331414300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41331414323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 152514309 + ... + 152514579.

It is an arithmetic number, because the mean of its divisors is an integer number (553492800).

Almost surely, 241331414324 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 41331414324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53135308800).

41331414324 is an abundant number, since it is smaller than the sum of its proper divisors (64939203276).

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

41331414324 is a wasteful number, since it uses less digits than its factorization.

41331414324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 612 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 41331414324 its reverse (42341413314), we get a palindrome (83672827638).

The spelling of 41331414324 in words is "forty-one billion, three hundred thirty-one million, four hundred fourteen thousand, three hundred twenty-four".