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41531142016 = 2771343283293
BaseRepresentation
bin100110101011011100…
…101110111110000000
310222012101011121111001
4212223130232332000
51140023433021031
631025032301344
73000115611460
oct465334567600
9128171147431
1041531142016
1116682279771
128070841854
133bbb359560
14201da99ba0
151131133861
hex9ab72ef80

41531142016 has 256 divisors, whose sum is σ = 104924413440. Its totient is φ = 15936528384.

The previous prime is 41531141957. The next prime is 41531142047. The reversal of 41531142016 is 61024113514.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 141744366 + ... + 141744658.

It is an arithmetic number, because the mean of its divisors is an integer number (409860990).

Almost surely, 241531142016 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 41531142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52462206720).

41531142016 is an abundant number, since it is smaller than the sum of its proper divisors (63393271424).

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

41531142016 is a wasteful number, since it uses less digits than its factorization.

41531142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 41531142016 in words is "forty-one billion, five hundred thirty-one million, one hundred forty-two thousand, sixteen".