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24090423840 = 253457265547
BaseRepresentation
bin10110011011111001…
…101011001000100000
32022011220101022220000
4112123321223020200
5343314122030330
615022245220000
71511661136560
oct263371531040
968156338800
1024090423840
11a242463a9a
124803a01600
13236bc69182
141247656da0
1595ee03560
hex59be6b220

24090423840 has 240 divisors, whose sum is σ = 97165075392. Its totient is φ = 5506361856.

The previous prime is 24090423829. The next prime is 24090423883. The reversal of 24090423840 is 4832409042.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 24090423795 and 24090423804.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 42054 + ... + 223493.

Almost surely, 224090423840 is an apocalyptic number.

24090423840 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 24090423840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48582537696).

24090423840 is an abundant number, since it is smaller than the sum of its proper divisors (73074651552).

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

24090423840 is a wasteful number, since it uses less digits than its factorization.

24090423840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265581 (or 265564 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 24090423840 in words is "twenty-four billion, ninety million, four hundred twenty-three thousand, eight hundred forty".