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443420024344 = 231117359349117
BaseRepresentation
bin1100111001111011110…
…01001001111000011000
31120101112201000010220121
412130331321021320120
524231111011234334
6535412050003024
744015235006163
oct6347571117030
91511481003817
10443420024344
11161065053340
1271b30576474
1332a78107c3b
1417666a70ada
15b803790db4
hex673de49e18

443420024344 has 64 divisors (see below), whose sum is σ = 913795201440. Its totient is φ = 200047503360.

The previous prime is 443420024317. The next prime is 443420024351.

443420024344 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9003274 + ... + 9052390.

Almost surely, 2443420024344 is an apocalyptic number.

443420024344 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 443420024344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456897600720).

443420024344 is an abundant number, since it is smaller than the sum of its proper divisors (470375177096).

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

443420024344 is a wasteful number, since it uses less digits than its factorization.

443420024344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49900 (or 49896 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 34.

It can be divided in two parts, 4434200 and 24344, that added together give a palindrome (4458544).

The spelling of 443420024344 in words is "four hundred forty-three billion, four hundred twenty million, twenty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 173 346 593 692 1186 1384 1903 2372 3806 4744 6523 7612 13046 15224 26092 49117 52184 98234 102589 196468 205178 392936 410356 540287 820712 1080574 1128479 2161148 2256958 4322296 4513916 8497241 9027832 16994482 29126381 33988964 58252762 67977928 93469651 116505524 186939302 233011048 320390191 373878604 640780382 747757208 1281560764 2563121528 5038863913 10077727826 20155455652 40310911304 55427503043 110855006086 221710012172 443420024344