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241481490432 = 2133713195683
BaseRepresentation
bin1110000011100101101…
…0110010000000000000
3212002022021000201210220
43200321122302000000
512424023230143212
6302533550223040
723306064541620
oct3407132620000
9762267021726
10241481490432
11934590079a6
123a9737b4a80
1319a052b2aa0
14b98b334880
15643504b38c
hex38396b2000

241481490432 has 448 divisors, whose sum is σ = 834363909120. Its totient is φ = 60324839424.

The previous prime is 241481490421. The next prime is 241481490449. The reversal of 241481490432 is 234094184142.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 42489063 + ... + 42494745.

It is an arithmetic number, because the mean of its divisors is an integer number (1862419440).

Almost surely, 2241481490432 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 241481490432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417181954560).

241481490432 is an abundant number, since it is smaller than the sum of its proper divisors (592882418688).

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

241481490432 is a wasteful number, since it uses less digits than its factorization.

241481490432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751 (or 5727 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The spelling of 241481490432 in words is "two hundred forty-one billion, four hundred eighty-one million, four hundred ninety thousand, four hundred thirty-two".