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442344443244 = 223113351094267
BaseRepresentation
bin1100110111111011100…
…10001000110101101100
31120021202202002222000120
412123331302020311230
524221410134140434
6535113224324540
743646464505214
oct6337562106554
91507682088016
10442344443244
111606629a7340
1271890313750
1332936326b12
14175a3c8b244
15b78e130349
hex66fdc88d6c

442344443244 has 24 divisors (see below), whose sum is σ = 1125967674048. Its totient is φ = 134043770640.

The previous prime is 442344443243. The next prime is 442344443257.

442344443244 is nontrivially palindromic in base 10.

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 = 442344443196 and 442344443205.

It is not an unprimeable number, because it can be changed into a prime (442344443243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1675547002 + ... + 1675547265.

It is an arithmetic number, because the mean of its divisors is an integer number (46915319752).

Almost surely, 2442344443244 is an apocalyptic number.

442344443244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442344443244 is an abundant number, since it is smaller than the sum of its proper divisors (683623230804).

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

442344443244 is a wasteful number, since it uses less digits than its factorization.

442344443244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351094285 (or 3351094283 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 42.

It can be divided in two parts, 442344 and 443244, that added together give a palindrome (885588).

The spelling of 442344443244 in words is "four hundred forty-two billion, three hundred forty-four million, four hundred forty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 3351094267 6702188534 10053282801 13404377068 20106565602 36862036937 40213131204 73724073874 110586110811 147448147748 221172221622 442344443244