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4404434300344 = 2313228718517853
BaseRepresentation
bin100000000010111110010…
…1111011110110110111000
3120121001121121011212110001
41000011330233132312320
51034130240140102334
613211211424402344
7633131662561351
oct100057457366670
916531547155401
104404434300344
111448a013804a1
125b17381763b4
1325c44b019220
141132663c8d28
1579881d15714
hex4017cbdedb8

4404434300344 has 32 divisors (see below), whose sum is σ = 8897458489920. Its totient is φ = 2031926864256.

The previous prime is 4404434300341. The next prime is 4404434300401. The reversal of 4404434300344 is 4430034344044.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404434300341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9021079 + ... + 9496774.

It is an arithmetic number, because the mean of its divisors is an integer number (278045577810).

Almost surely, 24404434300344 is an apocalyptic number.

It is an amenable number.

4404434300344 is an abundant number, since it is smaller than the sum of its proper divisors (4493024189576).

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

4404434300344 is a wasteful number, since it uses less digits than its factorization.

4404434300344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18520159 (or 18520155 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 37.

Adding to 4404434300344 its reverse (4430034344044), we get a palindrome (8834468644388).

It can be divided in two parts, 4404434 and 300344, that added together give a triangular number (4704778 = T3067).

The spelling of 4404434300344 in words is "four trillion, four hundred four billion, four hundred thirty-four million, three hundred thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 2287 4574 9148 18296 29731 59462 118924 237848 18517853 37035706 74071412 148142824 240732089 481464178 962928356 1925856712 42350329811 84700659622 169401319244 338802638488 550554287543 1101108575086 2202217150172 4404434300344