Base | Representation |
---|---|
bin | 1101000111000111110… |
… | …10000001000010110100 |
3 | 1121001211010200010122100 |
4 | 12203203322001002310 |
5 | 24340111030013234 |
6 | 542542411302100 |
7 | 44355546551100 |
oct | 6434372010264 |
9 | 1531733603570 |
10 | 450500235444 |
11 | 164068702776 |
12 | 7338774a930 |
13 | 33635c1636c |
14 | 17b3910a900 |
15 | baba151399 |
hex | 68e3e810b4 |
450500235444 has 108 divisors (see below), whose sum is σ = 1330626670464. Its totient is φ = 128137046688.
The previous prime is 450500235431. The next prime is 450500235473. The reversal of 450500235444 is 444532005054.
450500235444 is a `hidden beast` number, since 45 + 0 + 50 + 0 + 23 + 544 + 4 = 666.
It is a super-3 number, since 3×4505002354443 (a number of 36 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 450500235399 and 450500235408.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 179242 + ... + 965985.
Almost surely, 2450500235444 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 450500235444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665313335232).
450500235444 is an abundant number, since it is smaller than the sum of its proper divisors (880126435020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
450500235444 is a wasteful number, since it uses less digits than its factorization.
450500235444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1145474 (or 1145462 counting only the distinct ones).
The product of its (nonzero) digits is 192000, while the sum is 36.
The spelling of 450500235444 in words is "four hundred fifty billion, five hundred million, two hundred thirty-five thousand, four hundred forty-four".
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