Base | Representation |
---|---|
bin | 10001001101110… |
… | …01011100000000 |
3 | 101001202000101212 |
4 | 20212321130000 |
5 | 243432230324 |
6 | 22155145252 |
7 | 3402334265 |
oct | 1046713400 |
9 | 331660355 |
10 | 144414464 |
11 | 745777a7 |
12 | 40445228 |
13 | 23bc475c |
14 | 1527326c |
15 | ca2970e |
hex | 89b9700 |
144414464 has 36 divisors (see below), whose sum is σ = 295317120. Its totient is φ = 70440960.
The previous prime is 144414463. The next prime is 144414469. The reversal of 144414464 is 464414441.
It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a self number, because there is not a number n which added to its sum of digits gives 144414464.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144414463) by changing a digit.
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 3 ways as a sum of consecutive naturals, for example, 3617 + ... + 17375.
Almost surely, 2144414464 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 144414464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147658560).
144414464 is an abundant number, since it is smaller than the sum of its proper divisors (150902656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144414464 is an equidigital number, since it uses as much as digits as its factorization.
144414464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13816 (or 13802 counting only the distinct ones).
The product of its digits is 24576, while the sum is 32.
The square root of 144414464 is about 12017.2569249392. The cubic root of 144414464 is about 524.6506688942.
The spelling of 144414464 in words is "one hundred forty-four million, four hundred fourteen thousand, four hundred sixty-four".
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