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4442234322444 = 2238910141182133
BaseRepresentation
bin100000010100100100111…
…0011000111111000001100
3120201200011221120221121120
41000221021303013320030
51040240143441304234
613240422334200540
7635640464504412
oct100511163077014
916650157527546
104442234322444
111462a39514586
125b8b27353150
13262b933771c9
141150107232b2
157a8455d7049
hex40a49cc7e0c

4442234322444 has 48 divisors (see below), whose sum is σ = 10585455723360. Its totient is φ = 1449611046400.

The previous prime is 4442234322443. The next prime is 4442234322451.

4442234322444 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 = 4442234322396 and 4442234322405.

It is not an unprimeable number, because it can be changed into a prime (4442234322443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20483199 + ... + 20698934.

It is an arithmetic number, because the mean of its divisors is an integer number (220530327570).

Almost surely, 24442234322444 is an apocalyptic number.

It is an amenable number.

4442234322444 is an abundant number, since it is smaller than the sum of its proper divisors (6143221400916).

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

4442234322444 is a wasteful number, since it uses less digits than its factorization.

4442234322444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41182330 (or 41182328 counting only the distinct ones).

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

The spelling of 4442234322444 in words is "four trillion, four hundred forty-two billion, two hundred thirty-four million, three hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 89 101 178 202 267 303 356 404 534 606 1068 1212 8989 17978 26967 35956 53934 107868 41182133 82364266 123546399 164728532 247092798 494185596 3665209837 4159395433 7330419674 8318790866 10995629511 12478186299 14660839348 16637581732 21991259022 24956372598 43982518044 49912745196 370186193537 740372387074 1110558580611 1480744774148 2221117161222 4442234322444