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443004114344 = 23118364394327
BaseRepresentation
bin1100111001001010001…
…10100101010110101000
31120100110201101201122112
412130211012211112220
524224233023124334
6535302511341452
744002024561451
oct6344506452650
91510421351575
10443004114344
11160971300a70
1271a35221888
1332a0cbb5a4c
1417627728128
15b7cbed84ce
hex67251a55a8

443004114344 has 64 divisors (see below), whose sum is σ = 918498147840. Its totient is φ = 198627917760.

The previous prime is 443004114341. The next prime is 443004114353. The reversal of 443004114344 is 443411400344.

It is a self number, because there is not a number n which added to its sum of digits gives 443004114344.

It is not an unprimeable number, because it can be changed into a prime (443004114341) 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, 4649309 + ... + 4743635.

It is an arithmetic number, because the mean of its divisors is an integer number (14351533560).

Almost surely, 2443004114344 is an apocalyptic number.

443004114344 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 443004114344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459249073920).

443004114344 is an abundant number, since it is smaller than the sum of its proper divisors (475494033496).

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

443004114344 is a wasteful number, since it uses less digits than its factorization.

443004114344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95070 (or 95066 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 443004114344 its reverse (443411400344), we get a palindrome (886415514688).

The spelling of 443004114344 in words is "four hundred forty-three billion, four million, one hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 83 88 166 332 643 664 913 1286 1826 2572 3652 5144 7073 7304 14146 28292 53369 56584 94327 106738 188654 213476 377308 426952 587059 754616 1037597 1174118 2075194 2348236 4150388 4696472 7829141 8300776 15658282 31316564 60652261 62633128 86120551 121304522 172241102 242609044 344482204 485218088 667174871 688964408 1334349742 2668699484 5034137663 5337398968 10068275326 20136550652 40273101304 55375514293 110751028586 221502057172 443004114344