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41398287840 = 25335713314379
BaseRepresentation
bin100110100011100001…
…111011110111100000
310221212010011220211000
4212203201323313200
51134240430202330
631003524552000
72663613432510
oct464341736740
9127763156730
1041398287840
1116614288428
128034252600
133b99981910
14200a195840
15112463e560
hex9a387bde0

41398287840 has 1536 divisors, whose sum is σ = 190749081600. Its totient is φ = 8151736320.

The previous prime is 41398287839. The next prime is 41398287941. The reversal of 41398287840 is 4878289314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 524028921 + ... + 524028999.

It is an arithmetic number, because the mean of its divisors is an integer number (124185600).

Almost surely, 241398287840 is an apocalyptic number.

41398287840 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 41398287840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95374540800).

41398287840 is an abundant number, since it is smaller than the sum of its proper divisors (149350793760).

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

41398287840 is a wasteful number, since it uses less digits than its factorization.

41398287840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 41398287840 in words is "forty-one billion, three hundred ninety-eight million, two hundred eighty-seven thousand, eight hundred forty".