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4244131332 = 2232749134301
BaseRepresentation
bin1111110011111000…
…0100111000000100
3101221210002012200100
43330332010320010
532142444200312
61541050244100
7210113343510
oct37476047004
911853065610
104244131332
111888779761
129a5426630
1352838ab1c
142c3943140
1519c8ea5dc
hexfcf84e04

4244131332 has 72 divisors (see below), whose sum is σ = 12286153152. Its totient is φ = 1210104000.

The previous prime is 4244131301. The next prime is 4244131343. The reversal of 4244131332 is 2331314424.

4244131332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4244131296 and 4244131305.

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, 106582 + ... + 140882.

It is an arithmetic number, because the mean of its divisors is an integer number (170641016).

Almost surely, 24244131332 is an apocalyptic number.

4244131332 is a gapful number since it is divisible by the number (42) 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 4244131332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143076576).

4244131332 is an abundant number, since it is smaller than the sum of its proper divisors (8042021820).

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

4244131332 is a wasteful number, since it uses less digits than its factorization.

4244131332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34809 (or 34804 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 4244131332 is about 65146.9978740387. The cubic root of 4244131332 is about 1619.0599804852.

Adding to 4244131332 its reverse (2331314424), we get a palindrome (6575445756).

The spelling of 4244131332 in words is "four billion, two hundred forty-four million, one hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 491 982 1473 1964 2946 3437 4419 5892 6874 8838 10311 13748 17676 20622 30933 34301 41244 61866 68602 102903 123732 137204 205806 240107 308709 411612 480214 617418 720321 960428 1234836 1440642 2160963 2881284 4321926 8643852 16841791 33683582 50525373 67367164 101050746 117892537 151576119 202101492 235785074 303152238 353677611 471570148 606304476 707355222 1061032833 1414710444 2122065666 4244131332