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4442346432444 = 2231013665302337
BaseRepresentation
bin100000010100101000001…
…1110110010011110111100
3120201200110202112201121210
41000221100132302132330
51040240411141314234
613240441421124420
7635643325434624
oct100512036623674
916650422481553
104442346432444
111462a96827478
125b8b589b9710
13262bb066aa9b
14115021587884
157a85037ebe9
hex40a507b27bc

4442346432444 has 24 divisors (see below), whose sum is σ = 10468103477328. Its totient is φ = 1466120934400.

The previous prime is 4442346432421. The next prime is 4442346432473.

It is a happy number.

4442346432444 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×44423464324443 (a number of 39 digits) contains 333 as substring.

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 = 4442346432393 and 4442346432402.

It is a congruent number.

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, 1832649957 + ... + 1832652380.

It is an arithmetic number, because the mean of its divisors is an integer number (436170978222).

Almost surely, 24442346432444 is an apocalyptic number.

It is an amenable number.

4442346432444 is an abundant number, since it is smaller than the sum of its proper divisors (6025757044884).

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

4442346432444 is a wasteful number, since it uses less digits than its factorization.

4442346432444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3665302445 (or 3665302443 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 48.

The spelling of 4442346432444 in words is "four trillion, four hundred forty-two billion, three hundred forty-six million, four hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 101 202 303 404 606 1212 3665302337 7330604674 10995907011 14661209348 21991814022 43983628044 370195536037 740391072074 1110586608111 1480782144148 2221173216222 4442346432444