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330031113004044 = 223229538158747771
BaseRepresentation
bin100101100001010010101101…
…1010000010110010000001100
31121021112122222201020201020100
41023002211123100112100030
5321224212204412112134
63125530111131051100
7126341650433302014
oct11302453320262014
91537478881221210
10330031113004044
1196181455440a61
12310222a7ba0a90
131121ca53690b1a
145b6d83bd92c44
152824ceed15999
hex12c295b41640c

330031113004044 has 72 divisors (see below), whose sum is σ = 863172789307920. Its totient is φ = 106197168873600.

The previous prime is 330031113004009. The next prime is 330031113004121. The reversal of 330031113004044 is 440400311130033.

330031113004044 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 311 + 1 + 300 + 4 + 0 + 44 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 330031113003999 and 330031113004017.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 23756122 + ... + 34991649.

It is an arithmetic number, because the mean of its divisors is an integer number (11988510962610).

Almost surely, 2330031113004044 is an apocalyptic number.

It is an amenable number.

330031113004044 is an abundant number, since it is smaller than the sum of its proper divisors (533141676303876).

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

330031113004044 is a wasteful number, since it uses less digits than its factorization.

330031113004044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58753191 (or 58753186 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 330031113004044 its reverse (440400311130033), we get a palindrome (770431424134077).

The spelling of 330031113004044 in words is "three hundred thirty trillion, thirty-one billion, one hundred thirteen million, four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 5381 10762 16143 21524 32286 48429 64572 96858 156049 193716 312098 468147 624196 936294 1404441 1872588 2808882 5617764 58747771 117495542 176243313 234991084 352486626 528729939 704973252 1057459878 1703685359 2114919756 3407370718 5111056077 6814741436 10222112154 15333168231 20444224308 30666336462 61332672924 316121755751 632243511502 948365267253 1264487023004 1896730534506 2845095801759 3793461069012 5690191603518 9167530916779 11380383207036 18335061833558 27502592750337 36670123667116 55005185500674 82507778251011 110010371001348 165015556502022 330031113004044