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231445105424352 = 253223297316504669
BaseRepresentation
bin110100100111111110000011…
…010010110011011111100000
31010100110221021100010120121200
4310213332003102303133200
5220313444033442034402
62140124225201121200
766515233320316011
oct6447760322633740
91110427240116550
10231445105424352
11678223552835a6
1221b5b741629200
139c1b2450088b1
144122007c4d008
151bb5641cdd21c
hexd27f834b37e0

231445105424352 has 288 divisors, whose sum is σ = 720203061614400. Its totient is φ = 70273443373056.

The previous prime is 231445105424339. The next prime is 231445105424383. The reversal of 231445105424352 is 253424501544132.

231445105424352 is a `hidden beast` number, since 2 + 3 + 1 + 4 + 4 + 5 + 10 + 542 + 43 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 231445105424298 and 231445105424307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5770674 + ... + 22275342.

It is an arithmetic number, because the mean of its divisors is an integer number (2500705075050).

Almost surely, 2231445105424352 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 231445105424352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360101530807200).

231445105424352 is an abundant number, since it is smaller than the sum of its proper divisors (488757956190048).

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

231445105424352 is a wasteful number, since it uses less digits than its factorization.

231445105424352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16504810 (or 16504799 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

Adding to 231445105424352 its reverse (253424501544132), we get a palindrome (484869606968484).

The spelling of 231445105424352 in words is "two hundred thirty-one trillion, four hundred forty-five billion, one hundred five million, four hundred twenty-four thousand, three hundred fifty-two".