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4403234323044 = 2232122312064529
BaseRepresentation
bin100000000010011010100…
…1101111011101001100100
3120120221111222012201001100
41000010311031323221210
51034120310441314134
613210452401000100
7633060152126304
oct100046515735144
916527458181040
104403234323044
111448445a8a817
125b1462323030
1325c2b953219b
14113190ca3604
15798117d1999
hex4013537ba64

4403234323044 has 18 divisors (see below), whose sum is σ = 11130397872230. Its totient is φ = 1467744774336.

The previous prime is 4403234323009. The next prime is 4403234323049.

4403234323044 is a `hidden beast` number, since 4 + 4 + 0 + 3 + 2 + 343 + 2 + 304 + 4 = 666.

4403234323044 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 4192305390144 + 210928932900 = 2047512^2 + 459270^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 122312064529 = 4403234323044 / (4 + 4 + 0 + 3 + 2 + 3 + 4 + 3 + 2 + 3 + 0 + 4 + 4).

It is not an unprimeable number, because it can be changed into a prime (4403234323049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61156032229 + ... + 61156032300.

Almost surely, 24403234323044 is an apocalyptic number.

It is an amenable number.

4403234323044 is an abundant number, since it is smaller than the sum of its proper divisors (6727163549186).

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

4403234323044 is a wasteful number, since it uses less digits than its factorization.

4403234323044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122312064539 (or 122312064534 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

The spelling of 4403234323044 in words is "four trillion, four hundred three billion, two hundred thirty-four million, three hundred twenty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 122312064529 244624129058 366936193587 489248258116 733872387174 1100808580761 1467744774348 2201617161522 4403234323044