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320114331420 = 2235134130793251
BaseRepresentation
bin1001010100010000100…
…11010000111100011100
31010121021022120221012220
410222020103100330130
520221043232101140
6403020345025340
732061505631112
oct4521023207434
91117238527186
10320114331420
1111383a2161a4
1252059785250
13242570c7270
14116ca6a9ab2
1584d84b0bd0
hex4a884d0f1c

320114331420 has 192 divisors, whose sum is σ = 989436349440. Its totient is φ = 76826880000.

The previous prime is 320114331401. The next prime is 320114331431. The reversal of 320114331420 is 24133411023.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98464795 + ... + 98468045.

It is an arithmetic number, because the mean of its divisors is an integer number (5153314320).

Almost surely, 2320114331420 is an apocalyptic number.

320114331420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320114331420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494718174720).

320114331420 is an abundant number, since it is smaller than the sum of its proper divisors (669322018020).

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

320114331420 is a wasteful number, since it uses less digits than its factorization.

320114331420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6396 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 320114331420 its reverse (24133411023), we get a palindrome (344247742443).

The spelling of 320114331420 in words is "three hundred twenty billion, one hundred fourteen million, three hundred thirty-one thousand, four hundred twenty".