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23243201424 = 2434431133691
BaseRepresentation
bin10101101001011001…
…110001101110010000
32012222212011222020000
4111221121301232100
5340100224421144
614402222250000
71451662644432
oct255131615620
965885158200
1023243201424
1199481aa283
124608126900
132265591231
1411a6d18652
1591084e769
hex569671b90

23243201424 has 200 divisors, whose sum is σ = 69465039072. Its totient is φ = 7498552320.

The previous prime is 23243201411. The next prime is 23243201477. The reversal of 23243201424 is 42410234232.

23243201424 is a `hidden beast` number, since 2 + 32 + 4 + 3 + 201 + 424 = 666.

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

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, 6295419 + ... + 6299109.

Almost surely, 223243201424 is an apocalyptic number.

23243201424 is a gapful number since it is divisible by the number (24) 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 23243201424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34732519536).

23243201424 is an abundant number, since it is smaller than the sum of its proper divisors (46221837648).

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

23243201424 is a wasteful number, since it uses less digits than its factorization.

23243201424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3867 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 23243201424 its reverse (42410234232), we get a palindrome (65653435656).

The spelling of 23243201424 in words is "twenty-three billion, two hundred forty-three million, two hundred one thousand, four hundred twenty-four".