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41883073440 = 25351323328807
BaseRepresentation
bin100111000000011011…
…001111101110100000
311000002220101120122020
4213000123033232200
51141234031322230
631124003341440
73011621151555
oct470033175640
9130086346566
1041883073440
11168429a2a8a
12814a681880
133c4623a8c0
14205470aa2c
151151e9e810
hex9c06cfba0

41883073440 has 192 divisors, whose sum is σ = 142695012096. Its totient is φ = 10265075712.

The previous prime is 41883073423. The next prime is 41883073471. The reversal of 41883073440 is 4437038814.

It is a junction number, because it is equal to n+sod(n) for n = 41883073392 and 41883073401.

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 31 ways as a sum of consecutive naturals, for example, 1439517 + ... + 1468323.

It is an arithmetic number, because the mean of its divisors is an integer number (743203188).

Almost surely, 241883073440 is an apocalyptic number.

41883073440 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 41883073440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71347506048).

41883073440 is an abundant number, since it is smaller than the sum of its proper divisors (100811938656).

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

41883073440 is a wasteful number, since it uses less digits than its factorization.

41883073440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29071 (or 29063 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 41883073440 in words is "forty-one billion, eight hundred eighty-three million, seventy-three thousand, four hundred forty".