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320544335144 = 231129800915683
BaseRepresentation
bin1001010101000011110…
…11100110010100101000
31010122101021201101102202
410222201323212110220
520222433322211034
6403131145315332
732105246615225
oct4524173462450
91118337641382
10320544335144
11113a3aa14380
1252159795b48
13242c5212437
141172b84094c
1585110ee47e
hex4aa1ee6528

320544335144 has 64 divisors (see below), whose sum is σ = 678395736000. Its totient is φ = 140651230720.

The previous prime is 320544335131. The next prime is 320544335149. The reversal of 320544335144 is 441533445023.

It is a junction number, because it is equal to n+sod(n) for n = 320544335098 and 320544335107.

It is not an unprimeable number, because it can be changed into a prime (320544335149) 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, 20431127 + ... + 20446809.

It is an arithmetic number, because the mean of its divisors is an integer number (10599933375).

Almost surely, 2320544335144 is an apocalyptic number.

It is an amenable number.

320544335144 is an abundant number, since it is smaller than the sum of its proper divisors (357851400856).

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

320544335144 is a wasteful number, since it uses less digits than its factorization.

320544335144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23738 (or 23734 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 38.

The spelling of 320544335144 in words is "three hundred twenty billion, five hundred forty-four million, three hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 1276 2552 8009 15683 16018 31366 32036 62732 64072 88099 125464 172513 176198 232261 345026 352396 454807 464522 690052 704792 909614 929044 1380104 1819228 1858088 2554871 3638456 5002877 5109742 10005754 10219484 20011508 20438968 40023016 125605147 251210294 502420588 1004841176 1381656617 2763313234 3642549263 5526626468 7285098526 11053252936 14570197052 29140394104 40068041893 80136083786 160272167572 320544335144