Base | Representation |
---|---|
bin | 110001001000111111111101… |
… | …1100101000110111011000100 |
3 | 2002200110021000112010201020201 |
4 | 1202101333323211012323010 |
5 | 423123402122213323134 |
6 | 4131150451124340244 |
7 | 160021462546631140 |
oct | 14221777345067304 |
9 | 2080407015121221 |
10 | 432245434511044 |
11 | 1157aa294191310 |
12 | 40590089544684 |
13 | 1572575348729b |
14 | 78a4b0d7c0220 |
15 | 34e8a67ec6914 |
hex | 1891ffb946ec4 |
432245434511044 has 48 divisors (see below), whose sum is σ = 943092053277696. Its totient is φ = 168405329066400.
The previous prime is 432245434510987. The next prime is 432245434511047. The reversal of 432245434511044 is 440115434542234.
It is a super-3 number, since 3×4322454345110443 (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a junction number, because it is equal to n+sod(n) for n = 432245434510985 and 432245434511003.
It is not an unprimeable number, because it can be changed into a prime (432245434511047) 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, 18071649 + ... + 34511959.
It is an arithmetic number, because the mean of its divisors is an integer number (19647751109952).
Almost surely, 2432245434511044 is an apocalyptic number.
432245434511044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
432245434511044 is an abundant number, since it is smaller than the sum of its proper divisors (510846618766652).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
432245434511044 is a wasteful number, since it uses less digits than its factorization.
432245434511044 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16525696 (or 16525694 counting only the distinct ones).
The product of its (nonzero) digits is 3686400, while the sum is 46.
The spelling of 432245434511044 in words is "four hundred thirty-two trillion, two hundred forty-five billion, four hundred thirty-four million, five hundred eleven thousand, forty-four".
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