Base | Representation |
---|---|
bin | 10001010001000… |
… | …10011100110100 |
3 | 101002112212102200 |
4 | 20220202130310 |
5 | 244040011341 |
6 | 22212304500 |
7 | 3406105311 |
oct | 1050423464 |
9 | 332485380 |
10 | 144844596 |
11 | 74840986 |
12 | 40612130 |
13 | 24015480 |
14 | 15345d08 |
15 | cab1db6 |
hex | 8a22734 |
144844596 has 72 divisors (see below), whose sum is σ = 396800040. Its totient is φ = 44285184.
The previous prime is 144844577. The next prime is 144844613. The reversal of 144844596 is 695448441.
144844596 is a `hidden beast` number, since 14 + 4 + 8 + 44 + 596 = 666.
144844596 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 4 ways, for example, as 61779600 + 83064996 = 7860^2 + 9114^2 .
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80070 + ... + 81858.
Almost surely, 2144844596 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 144844596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198400020).
144844596 is an abundant number, since it is smaller than the sum of its proper divisors (251955444).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144844596 is a wasteful number, since it uses less digits than its factorization.
144844596 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1985 (or 1980 counting only the distinct ones).
The product of its digits is 552960, while the sum is 45.
The square root of 144844596 is about 12035.1400490397. The cubic root of 144844596 is about 525.1710354302.
The spelling of 144844596 in words is "one hundred forty-four million, eight hundred forty-four thousand, five hundred ninety-six".
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