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442353353244 = 223118938039901
BaseRepresentation
bin1100110111111100101…
…00001000001000011100
31120021210100212122020120
412123332110020020130
524221414424300434
6535114143314540
743646633314665
oct6337624101034
91507710778216
10442353353244
11160667a32580
12718932aba50
13329381264ca
14175a512a36c
15b78ece0349
hex66fe50821c

442353353244 has 96 divisors (see below), whose sum is σ = 1139056369920. Its totient is φ = 132492096000.

The previous prime is 442353353243. The next prime is 442353353261.

442353353244 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4423533532442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 442353353196 and 442353353205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442353353243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44672694 + ... + 44682594.

It is an arithmetic number, because the mean of its divisors is an integer number (11865170520).

Almost surely, 2442353353244 is an apocalyptic number.

442353353244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442353353244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569528184960).

442353353244 is an abundant number, since it is smaller than the sum of its proper divisors (696703016676).

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

442353353244 is a wasteful number, since it uses less digits than its factorization.

442353353244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13811 (or 13809 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 42.

It can be divided in two parts, 442353 and 353244, that added together give a palindrome (795597).

The spelling of 442353353244 in words is "four hundred forty-two billion, three hundred fifty-three million, three hundred fifty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 132 178 267 356 534 979 1068 1958 2937 3803 3916 5874 7606 9901 11409 11748 15212 19802 22818 29703 39604 41833 45636 59406 83666 108911 118812 125499 167332 217822 250998 326733 338467 435644 501996 653466 676934 881189 1015401 1306932 1353868 1762378 2030802 2643567 3524756 3723137 4061604 5287134 7446274 9693079 10574268 11169411 14892548 19386158 22338822 29079237 37653503 38772316 44677644 58158474 75307006 112960509 116316948 150614012 225921018 414188533 451842036 828377066 1242565599 1656754132 2485131198 3351161767 4970262396 6702323534 10053485301 13404647068 20106970602 36862779437 40213941204 73725558874 110588338311 147451117748 221176676622 442353353244