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42433123320 = 23345719591669
BaseRepresentation
bin100111100001001101…
…100001001111111000
311001112020102000020000
4213201031201033320
51143400334421240
631254333033000
73031350411540
oct474115411770
9131466360200
1042433123320
1116aa5434665
128282925760
1340031979c3
1420a77b0320
151185402430
hex9e13613f8

42433123320 has 640 divisors, whose sum is σ = 174588480000. Its totient is φ = 9027376128.

The previous prime is 42433123319. The next prime is 42433123331. The reversal of 42433123320 is 2332133424.

42433123320 is a `hidden beast` number, since 4 + 2 + 4 + 331 + 2 + 3 + 320 = 666.

42433123320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 25423446 + ... + 25425114.

It is an arithmetic number, because the mean of its divisors is an integer number (272794500).

Almost surely, 242433123320 is an apocalyptic number.

42433123320 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 42433123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87294240000).

42433123320 is an abundant number, since it is smaller than the sum of its proper divisors (132155356680).

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

42433123320 is a wasteful number, since it uses less digits than its factorization.

42433123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1777 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 42433123320 its reverse (2332133424), we get a palindrome (44765256744).

The spelling of 42433123320 in words is "forty-two billion, four hundred thirty-three million, one hundred twenty-three thousand, three hundred twenty".