Base | Representation |
---|---|
bin | 110001000111011000100100… |
… | …1100011001001010111101010 |
3 | 2002122200000220212011101021100 |
4 | 1202032301021203021113222 |
5 | 423111232413001221414 |
6 | 4130500451223022230 |
7 | 156666442462303446 |
oct | 14216611143112752 |
9 | 2078600825141240 |
10 | 432023404320234 |
11 | 115724107a03751 |
12 | 40555043b9a976 |
13 | 1570a82aca535c |
14 | 789808993d826 |
15 | 34e2dc095d609 |
hex | 188ec498c95ea |
432023404320234 has 96 divisors (see below), whose sum is σ = 995271002678160. Its totient is φ = 134969201934336.
The previous prime is 432023404320161. The next prime is 432023404320283.
432023404320234 is a `hidden beast` number, since 4 + 3 + 20 + 2 + 340 + 43 + 20 + 234 = 666.
432023404320234 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 8 ways, for example, as 151896134898225 + 280127269422009 = 12324615^2 + 16737003^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70502802 + ... + 76385154.
Almost surely, 2432023404320234 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 432023404320234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497635501339080).
432023404320234 is an abundant number, since it is smaller than the sum of its proper divisors (563247598357926).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
432023404320234 is a wasteful number, since it uses less digits than its factorization.
432023404320234 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5883384 (or 5883381 counting only the distinct ones).
The product of its (nonzero) digits is 331776, while the sum is 36.
It can be divided in two parts, 43202340 and 4320234, that added together give a palindrome (47522574).
The spelling of 432023404320234 in words is "four hundred thirty-two trillion, twenty-three billion, four hundred four million, three hundred twenty thousand, two hundred thirty-four".
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