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442131131244 = 223113349478267
BaseRepresentation
bin1100110111100010001…
…00011010101101101100
31120021012212201120222010
412123301010122231230
524220441032144434
6535040124321220
743641264415305
oct6336104325554
91507185646863
10442131131244
11160563551930
12718309a3210
133290108b5ba
14175838017ac
15b77a5469e9
hex66f111ab6c

442131131244 has 24 divisors (see below), whose sum is σ = 1125424698048. Its totient is φ = 133979130640.

The previous prime is 442131131227. The next prime is 442131131333.

It is a happy number.

442131131244 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1674739002 + ... + 1674739265.

It is an arithmetic number, because the mean of its divisors is an integer number (46892695752).

Almost surely, 2442131131244 is an apocalyptic number.

442131131244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442131131244 is an abundant number, since it is smaller than the sum of its proper divisors (683293566804).

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

442131131244 is a wasteful number, since it uses less digits than its factorization.

442131131244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349478285 (or 3349478283 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 442131 and 131244, that added together give a palindrome (573375).

The spelling of 442131131244 in words is "four hundred forty-two billion, one hundred thirty-one million, one hundred thirty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 3349478267 6698956534 10048434801 13397913068 20096869602 36844260937 40193739204 73688521874 110532782811 147377043748 221065565622 442131131244