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398882243040 = 25352395416427
BaseRepresentation
bin1011100110111110011…
…11000000000111100000
31102010120210022102200220
411303133033000013200
523013402323234130
6503124410443040
740550450060241
oct5633717000740
91363523272626
10398882243040
1114418a69a016
1265380a33480
132b7cabb11a8
141543d960cc8
15a598706410
hex5cdf3c01e0

398882243040 has 192 divisors, whose sum is σ = 1264265210880. Its totient is φ = 105711298560.

The previous prime is 398882243029. The next prime is 398882243047. The reversal of 398882243040 is 40342288893.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398882243047) 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 31 ways as a sum of consecutive naturals, for example, 62060307 + ... + 62066733.

It is an arithmetic number, because the mean of its divisors is an integer number (6584714640).

Almost surely, 2398882243040 is an apocalyptic number.

398882243040 is a gapful number since it is divisible by the number (30) 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 398882243040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632132605440).

398882243040 is an abundant number, since it is smaller than the sum of its proper divisors (865382967840).

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

398882243040 is a wasteful number, since it uses less digits than its factorization.

398882243040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7225 (or 7217 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 398882243040 in words is "three hundred ninety-eight billion, eight hundred eighty-two million, two hundred forty-three thousand, forty".