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320422033044 = 223259290951859
BaseRepresentation
bin1001010100110101010…
…01000011011010010100
31010122001202120210111100
410222122221003122110
520222211020024134
6403111100110100
732102233225311
oct4523251033224
91118052523440
10320422033044
1111398797aa63
1252124835330
13242a5a90729
14117194c5d08
1585054e1999
hex4a9aa43694

320422033044 has 72 divisors (see below), whose sum is σ = 823982796000. Its totient is φ = 104958932544.

The previous prime is 320422033031. The next prime is 320422033081. The reversal of 320422033044 is 440330224023.

320422033044 is a `hidden beast` number, since 320 + 4 + 2 + 2 + 0 + 330 + 4 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 320422032999 and 320422033017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6152787 + ... + 6204645.

It is an arithmetic number, because the mean of its divisors is an integer number (11444205500).

Almost surely, 2320422033044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320422033044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411991398000).

320422033044 is an abundant number, since it is smaller than the sum of its proper divisors (503560762956).

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

320422033044 is a wasteful number, since it uses less digits than its factorization.

320422033044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54837 (or 54832 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 320422033044 its reverse (440330224023), we get a palindrome (760752257067).

The spelling of 320422033044 in words is "three hundred twenty billion, four hundred twenty-two million, thirty-three thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 2124 2909 5818 8727 11636 17454 26181 34908 51859 52362 103718 104724 155577 171631 207436 311154 343262 466731 514893 622308 686524 933462 1029786 1544679 1866924 2059572 3059681 3089358 6119362 6178716 9179043 12238724 18358086 27537129 36716172 55074258 110148516 150857831 301715662 452573493 603431324 905146986 1357720479 1810293972 2715440958 5430881916 8900612029 17801224058 26701836087 35602448116 53403672174 80105508261 106807344348 160211016522 320422033044