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4243411440 = 2432531414637
BaseRepresentation
bin1111110011101101…
…0101000111110000
3101221201201122011200
43330323111013300
532142303131230
61541023011200
7210104254632
oct37473250760
911851648150
104243411440
111888327904
129a5139b00
13528198258
142c37d6a52
1519c807160
hexfced51f0

4243411440 has 240 divisors, whose sum is σ = 15072535296. Its totient is φ = 1068134400.

The previous prime is 4243411397. The next prime is 4243411453. The reversal of 4243411440 is 441143424.

4243411440 is a `hidden beast` number, since 4 + 243 + 411 + 4 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 912802 + ... + 917438.

Almost surely, 24243411440 is an apocalyptic number.

4243411440 is a gapful number since it is divisible by the number (40) 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 4243411440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7536267648).

4243411440 is an abundant number, since it is smaller than the sum of its proper divisors (10829123856).

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

4243411440 is a wasteful number, since it uses less digits than its factorization.

4243411440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728 (or 4719 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4243411440 is about 65141.4725040815. The cubic root of 4243411440 is about 1618.9684333469.

Adding to 4243411440 its reverse (441143424), we get a palindrome (4684554864).

The spelling of 4243411440 in words is "four billion, two hundred forty-three million, four hundred eleven thousand, four hundred forty".