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4433142204140 = 22513591376313343
BaseRepresentation
bin100000010000010101111…
…0111011100011011101100
3120200210201022011111001012
41000200223313130123230
51040113033401013030
613232320222404352
7635166252666026
oct100405367343354
916623638144035
104433142204140
11145a0a3225521
125b720a4306b8
132620747b2a50
141147cadad016
157a4b22b1095
hex4082bddc6ec

4433142204140 has 192 divisors, whose sum is σ = 10289422725120. Its totient is φ = 1594355374080.

The previous prime is 4433142204121. The next prime is 4433142204181. The reversal of 4433142204140 is 414022413344.

It is a junction number, because it is equal to n+sod(n) for n = 4433142204097 and 4433142204106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1326095309 + ... + 1326098651.

It is an arithmetic number, because the mean of its divisors is an integer number (53590743360).

Almost surely, 24433142204140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4433142204140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144711362560).

4433142204140 is an abundant number, since it is smaller than the sum of its proper divisors (5856280520980).

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

4433142204140 is a wasteful number, since it uses less digits than its factorization.

4433142204140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4192 (or 4190 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4433142204140 its reverse (414022413344), we get a palindrome (4847164617484).

The spelling of 4433142204140 in words is "four trillion, four hundred thirty-three billion, one hundred forty-two million, two hundred four thousand, one hundred forty".