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24104042423040 = 2835231315094093
BaseRepresentation
bin1010111101100001010001…
…11000101110001100000000
310011100022202011022220202110
411132300220320232030000
511124410034330014130
6123133124430215320
75035313433026316
oct536605070561400
9104308664286673
1024104042423040
117753515613a98
122853637054540
13105b003244ca8
145d48db4560b6
152bc004dd0ab0
hex15ec28e2e300

24104042423040 has 576 divisors, whose sum is σ = 81121379834880. Its totient is φ = 6087869399040.

The previous prime is 24104042423033. The next prime is 24104042423081. The reversal of 24104042423040 is 4032424040142.

It is a super-2 number, since 2×241040424230402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 24104042422989 and 24104042423007.

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 63 ways as a sum of consecutive naturals, for example, 5889087234 + ... + 5889091326.

It is an arithmetic number, because the mean of its divisors is an integer number (140835728880).

Almost surely, 224104042423040 is an apocalyptic number.

24104042423040 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 24104042423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40560689917440).

24104042423040 is an abundant number, since it is smaller than the sum of its proper divisors (57017337411840).

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

24104042423040 is a wasteful number, since it uses less digits than its factorization.

24104042423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780 (or 4766 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 24104042423040 its reverse (4032424040142), we get a palindrome (28136466463182).

The spelling of 24104042423040 in words is "twenty-four trillion, one hundred four billion, forty-two million, four hundred twenty-three thousand, forty".