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24421140000 = 253254211643
BaseRepresentation
bin10110101111100111…
…010000011000100000
32100000221200110011200
4112233213100120200
5400003302440000
615115141441200
71523115156615
oct265747203040
970027613150
1024421140000
11a3a2107a34
124896710200
1323c262cbca
14127954450c
1597de7d500
hex5af9d0620

24421140000 has 360 divisors, whose sum is σ = 87328633392. Its totient is φ = 6471360000.

The previous prime is 24421139969. The next prime is 24421140011. The reversal of 24421140000 is 4112442.

24421140000 is a `hidden beast` number, since 244 + 21 + 1 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 37979679 + ... + 37980321.

Almost surely, 224421140000 is an apocalyptic number.

24421140000 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 24421140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43664316696).

24421140000 is an abundant number, since it is smaller than the sum of its proper divisors (62907493392).

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

24421140000 is a wasteful number, since it uses less digits than its factorization.

24421140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 24421140000 its reverse (4112442), we get a palindrome (24425252442).

The spelling of 24421140000 in words is "twenty-four billion, four hundred twenty-one million, one hundred forty thousand".