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24342471000 = 23335331127229
BaseRepresentation
bin10110101010111011…
…001010000101011000
32022211110122122121000
4112222323022011120
5344323133033000
615103251345000
71521141406131
oct265273120530
968743578530
1024342471000
11a361765831
1248742b2160
1323ac2475c3
14126cd06c88
159770de000
hex5aaeca158

24342471000 has 512 divisors, whose sum is σ = 88178688000. Its totient is φ = 6205248000.

The previous prime is 24342470987. The next prime is 24342471001. The reversal of 24342471000 is 17424342.

It is a super-3 number, since 3×243424710003 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24342471001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106298886 + ... + 106299114.

It is an arithmetic number, because the mean of its divisors is an integer number (172224000).

Almost surely, 224342471000 is an apocalyptic number.

24342471000 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 24342471000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44089344000).

24342471000 is an abundant number, since it is smaller than the sum of its proper divisors (63836217000).

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

24342471000 is a wasteful number, since it uses less digits than its factorization.

24342471000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 24342471000 its reverse (17424342), we get a palindrome (24359895342).

The spelling of 24342471000 in words is "twenty-four billion, three hundred forty-two million, four hundred seventy-one thousand".