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23441424000 = 273533767197
BaseRepresentation
bin10101110101001101…
…111011111010000000
32020111200011201110220
4111311031323322000
5341002001032000
614434023023040
71456620550011
oct256515737200
966450151426
1023441424000
119a3a088895
12466259aa80
1322976754b7
1411c5397008
15922e571a0
hex57537be80

23441424000 has 512 divisors, whose sum is σ = 81410883840. Its totient is φ = 5960908800.

The previous prime is 23441423959. The next prime is 23441424001. The reversal of 23441424000 is 42414432.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (23441424001) by changing a digit.

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, 118991902 + ... + 118992098.

Almost surely, 223441424000 is an apocalyptic number.

23441424000 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 23441424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40705441920).

23441424000 is an abundant number, since it is smaller than the sum of its proper divisors (57969459840).

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

23441424000 is a wasteful number, since it uses less digits than its factorization.

23441424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 23441424000 its reverse (42414432), we get a palindrome (23483838432).

The spelling of 23441424000 in words is "twenty-three billion, four hundred forty-one million, four hundred twenty-four thousand".