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241550726040 = 23325132310321787
BaseRepresentation
bin1110000011110110001…
…0111001001110011000
3212002111002022021012200
43200331202321032120
512424143441213130
6302544502210200
723310565202661
oct3407542711630
9762432267180
10241550726040
11934940a6708
123a992a23960
1319a167446c0
14b9965d8368
15643b175760
hex383d8b9398

241550726040 has 384 divisors, whose sum is σ = 890791050240. Its totient is φ = 56318727168.

The previous prime is 241550725943. The next prime is 241550726069. The reversal of 241550726040 is 40627055142.

It is a happy number.

241550726040 is a `hidden beast` number, since 2 + 4 + 1 + 550 + 7 + 2 + 60 + 40 = 666.

241550726040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2415507260402 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 241550725986 and 241550726004.

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 95 ways as a sum of consecutive naturals, for example, 11076027 + ... + 11097813.

It is an arithmetic number, because the mean of its divisors is an integer number (2319768360).

Almost surely, 2241550726040 is an apocalyptic number.

241550726040 is a gapful number since it is divisible by the number (20) 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 241550726040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445395525120).

241550726040 is an abundant number, since it is smaller than the sum of its proper divisors (649240324200).

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

241550726040 is a wasteful number, since it uses less digits than its factorization.

241550726040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21943 (or 21936 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 241550726040 in words is "two hundred forty-one billion, five hundred fifty million, seven hundred twenty-six thousand, forty".