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442144233444 = 223110933223943
BaseRepresentation
bin1100110111100011101…
…10011001011111100100
31120021020210101020210210
412123301312121133210
524221002410432234
6535041313215420
743641513655164
oct6336166313744
91507223336723
10442144233444
1116056a9907a1
1271835261570
13329039c8194
14175854525a4
15b77b783be9
hex66f1d997e4

442144233444 has 24 divisors (see below), whose sum is σ = 1032600179520. Its totient is φ = 147248510944.

The previous prime is 442144233437. The next prime is 442144233449. The reversal of 442144233444 is 444332441244.

It is a happy number.

It is a super-2 number, since 2×4421442334442 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (442144233449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16598664 + ... + 16625279.

It is an arithmetic number, because the mean of its divisors is an integer number (43025007480).

Almost surely, 2442144233444 is an apocalyptic number.

It is an amenable number.

442144233444 is an abundant number, since it is smaller than the sum of its proper divisors (590455946076).

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

442144233444 is a wasteful number, since it uses less digits than its factorization.

442144233444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33225059 (or 33225057 counting only the distinct ones).

The product of its digits is 589824, while the sum is 39.

Adding to 442144233444 its reverse (444332441244), we get a palindrome (886476674688).

The spelling of 442144233444 in words is "four hundred forty-two billion, one hundred forty-four million, two hundred thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 1109 2218 3327 4436 6654 13308 33223943 66447886 99671829 132895772 199343658 398687316 36845352787 73690705574 110536058361 147381411148 221072116722 442144233444