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41039606016 = 2833191372281
BaseRepresentation
bin100110001110001001…
…101011000100000000
310220221010020222212000
4212032021223010000
51133022114343031
630504153104000
72651666616063
oct461611530400
9126833228760
1041039606016
111644a873472
127b540b8000
133b40578b56
141db46a88da
151102ddd3e6
hex98e26b100

41039606016 has 288 divisors, whose sum is σ = 128737660800. Its totient is φ = 12859637760.

The previous prime is 41039606009. The next prime is 41039606039. The reversal of 41039606016 is 61060693014.

41039606016 is a `hidden beast` number, since 4 + 1 + 0 + 39 + 606 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17990796 + ... + 17993076.

Almost surely, 241039606016 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 41039606016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64368830400).

41039606016 is an abundant number, since it is smaller than the sum of its proper divisors (87698054784).

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

41039606016 is a wasteful number, since it uses less digits than its factorization.

41039606016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 41039606016 in words is "forty-one billion, thirty-nine million, six hundred six thousand, sixteen".