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443013138 = 23422312263
BaseRepresentation
bin11010011001111…
…101100000010010
31010212121101210000
4122121331200102
51401402410023
6111543150430
713656356331
oct3231754022
91125541700
10443013138
11208084367
12104445416
1370a21769
1442b9dd18
1528d5d243
hex1a67d812

443013138 has 40 divisors (see below), whose sum is σ = 997210368. Its totient is φ = 146996856.

The previous prime is 443013121. The next prime is 443013187. The reversal of 443013138 is 831310344.

443013138 is a `hidden beast` number, since 44 + 301 + 313 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29995 + ... + 42257.

Almost surely, 2443013138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 443013138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498605184).

443013138 is an abundant number, since it is smaller than the sum of its proper divisors (554197230).

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

443013138 is a wasteful number, since it uses less digits than its factorization.

443013138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12500 (or 12491 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 443013138 is about 21047.8772801440. The cubic root of 443013138 is about 762.3227289414.

The spelling of 443013138 in words is "four hundred forty-three million, thirteen thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 223 446 669 1338 2007 4014 6021 12042 12263 18063 24526 36126 36789 73578 110367 220734 331101 662202 993303 1986606 2734649 5469298 8203947 16407894 24611841 49223682 73835523 147671046 221506569 443013138