Base | Representation |
---|---|
bin | 111110111010001000111… |
… | …110111010100111000000 |
3 | 120022021111202120220201122 |
4 | 332322020332322213000 |
5 | 1031312034013403034 |
6 | 13105550333251412 |
7 | 624220562463440 |
oct | 76721076724700 |
9 | 16267452526648 |
10 | 4323035294144 |
11 | 14174307a4346 |
12 | 5999bb933b68 |
13 | 2548780c30b8 |
14 | 10d34391a120 |
15 | 776baaeb62e |
hex | 3ee88fba9c0 |
4323035294144 has 224 divisors, whose sum is σ = 10756426137600. Its totient is φ = 1682095610880.
The previous prime is 4323035294077. The next prime is 4323035294161. The reversal of 4323035294144 is 4414925303234.
It is a tau number, because it is divible by the number of its divisors (224).
It is a junction number, because it is equal to n+sod(n) for n = 4323035294095 and 4323035294104.
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, 27099287 + ... + 27258345.
Almost surely, 24323035294144 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 4323035294144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5378213068800).
4323035294144 is an abundant number, since it is smaller than the sum of its proper divisors (6433390843456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4323035294144 is a wasteful number, since it uses less digits than its factorization.
4323035294144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 159231 (or 159221 counting only the distinct ones).
The product of its (nonzero) digits is 1244160, while the sum is 44.
The spelling of 4323035294144 in words is "four trillion, three hundred twenty-three billion, thirty-five million, two hundred ninety-four thousand, one hundred forty-four".
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