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443252252344 = 231143159116707
BaseRepresentation
bin1100111001100111110…
…01001001111010111000
31120101010000022102222211
412130303321021322320
524230240034033334
6535343254024504
744011126660036
oct6346371117270
91511100272884
10443252252344
11160a893827a0
1271aa4348134
1332a4c425a75
141764c67b556
15b7e3ba0a64
hex6733e49eb8

443252252344 has 32 divisors (see below), whose sum is σ = 906681110400. Its totient is φ = 201471901920.

The previous prime is 443252252329. The next prime is 443252252407.

443252252344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 443252252297 and 443252252306.

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, 3739639 + ... + 3856345.

It is an arithmetic number, because the mean of its divisors is an integer number (28333784700).

Almost surely, 2443252252344 is an apocalyptic number.

443252252344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

443252252344 is an abundant number, since it is smaller than the sum of its proper divisors (463428858056).

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

443252252344 is a wasteful number, since it uses less digits than its factorization.

443252252344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159883 (or 159879 counting only the distinct ones).

The product of its digits is 921600, while the sum is 40.

It can be divided in two parts, 443252 and 252344, that added together give a palindrome (695596).

The spelling of 443252252344 in words is "four hundred forty-three billion, two hundred fifty-two million, two hundred fifty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 43159 86318 116707 172636 233414 345272 466828 474749 933656 949498 1283777 1898996 2567554 3797992 5135108 10270216 5036957413 10073914826 20147829652 40295659304 55406531543 110813063086 221626126172 443252252344