Base | Representation |
---|---|
bin | 100000010000110000001… |
… | …0100011000001110111000 |
3 | 120200212222122001010101100 |
4 | 1000201200110120032320 |
5 | 1040121334141014334 |
6 | 13232543420051400 |
7 | 635230126606215 |
oct | 100414024301670 |
9 | 16625878033340 |
10 | 4434022204344 |
11 | 145a504a37717 |
12 | 5b7415093b60 |
13 | 262184bc6125 |
14 | 114871c00b0c |
15 | 7a51468bc99 |
hex | 408605183b8 |
4434022204344 has 96 divisors (see below), whose sum is σ = 12150908406000. Its totient is φ = 1460574374400.
The previous prime is 4434022204331. The next prime is 4434022204387.
4434022204344 is a `hidden beast` number, since 4 + 4 + 3 + 402 + 2 + 204 + 3 + 44 = 666.
4434022204344 is nontrivially palindromic in base 10.
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 = 4434022204299 and 4434022204308.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3220332 + ... + 4386180.
Almost surely, 24434022204344 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 4434022204344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6075454203000).
4434022204344 is an abundant number, since it is smaller than the sum of its proper divisors (7716886201656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4434022204344 is a wasteful number, since it uses less digits than its factorization.
4434022204344 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1166485 (or 1166478 counting only the distinct ones).
The product of its (nonzero) digits is 294912, while the sum is 36.
The spelling of 4434022204344 in words is "four trillion, four hundred thirty-four billion, twenty-two million, two hundred four thousand, three hundred forty-four".
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