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4042143424 = 261122941439
BaseRepresentation
bin1111000011101110…
…0011011011000000
3101102201000011100201
43300323203123000
531234242042144
61505033054544
7202111436464
oct36073433300
911381004321
104042143424
111794759200
12949857454
134c5588a57
142a4ba44a4
15189cec1d4
hexf0ee36c0

4042143424 has 168 divisors, whose sum is σ = 9364370400. Its totient is φ = 1726771200.

The previous prime is 4042143401. The next prime is 4042143461. The reversal of 4042143424 is 4243412404.

4042143424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4042143392 and 4042143401.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9207397 + ... + 9207835.

It is an arithmetic number, because the mean of its divisors is an integer number (55740300).

Almost surely, 24042143424 is an apocalyptic number.

4042143424 is a gapful number since it is divisible by the number (44) 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 4042143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4682185200).

4042143424 is an abundant number, since it is smaller than the sum of its proper divisors (5322226976).

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

4042143424 is a wasteful number, since it uses less digits than its factorization.

4042143424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

The square root of 4042143424 is about 63577.8532509552. The cubic root of 4042143424 is about 1592.9564633698.

Adding to 4042143424 its reverse (4243412404), we get a palindrome (8285555828).

It can be divided in two parts, 40421 and 43424, that added together give a triangular number (83845 = T409).

The spelling of 4042143424 in words is "four billion, forty-two million, one hundred forty-three thousand, four hundred twenty-four".