Base | Representation |
---|---|
bin | 100000110101110010101001… |
… | …100001101110101100111000 |
3 | 200221101202102002211012102011 |
4 | 200311302221201232230320 |
5 | 122412401320112441212 |
6 | 1231104022102015304 |
7 | 42265004163022135 |
oct | 4065625141565470 |
9 | 627352362735364 |
10 | 144434004421432 |
11 | 42026132122340 |
12 | 1424833ba17534 |
13 | 62790b6a1b59b |
14 | 27949009bd58c |
15 | 11a70d73144a7 |
hex | 835ca986eb38 |
144434004421432 has 128 divisors (see below), whose sum is σ = 303377230379520. Its totient is φ = 63906217024000.
The previous prime is 144434004421417. The next prime is 144434004421457. The reversal of 144434004421432 is 234124400434441.
144434004421432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1444340044214322 (a number of 29 digits) contains 22 as substring.
It is a congruent number.
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 31 ways as a sum of consecutive naturals, for example, 2800113882 + ... + 2800165462.
It is an arithmetic number, because the mean of its divisors is an integer number (2370134612340).
Almost surely, 2144434004421432 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 144434004421432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151688615189760).
144434004421432 is an abundant number, since it is smaller than the sum of its proper divisors (158943225958088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144434004421432 is a wasteful number, since it uses less digits than its factorization.
144434004421432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 56365 (or 56361 counting only the distinct ones).
The product of its (nonzero) digits is 589824, while the sum is 40.
Adding to 144434004421432 its reverse (234124400434441), we get a palindrome (378558404855873).
The spelling of 144434004421432 in words is "one hundred forty-four trillion, four hundred thirty-four billion, four million, four hundred twenty-one thousand, four hundred thirty-two".
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