Base | Representation |
---|---|
bin | 10001001101110… |
… | …00101110000000 |
3 | 101001201212100211 |
4 | 20212320232000 |
5 | 243432132040 |
6 | 22155123504 |
7 | 3402322561 |
oct | 1046705600 |
9 | 331655324 |
10 | 144411520 |
11 | 74575570 |
12 | 40443594 |
13 | 23bc3306 |
14 | 15272168 |
15 | ca288ea |
hex | 89b8b80 |
144411520 has 128 divisors (see below), whose sum is σ = 383136480. Its totient is φ = 51609600.
The previous prime is 144411497. The next prime is 144411521. The reversal of 144411520 is 25114441.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 144411491 and 144411500.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144411521) 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 15 ways as a sum of consecutive naturals, for example, 513780 + ... + 514060.
Almost surely, 2144411520 is an apocalyptic number.
144411520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 144411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191568240).
144411520 is an abundant number, since it is smaller than the sum of its proper divisors (238724960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144411520 is a wasteful number, since it uses less digits than its factorization.
144411520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 384 (or 372 counting only the distinct ones).
The product of its (nonzero) digits is 640, while the sum is 22.
The square root of 144411520 is about 12017.1344337991. The cubic root of 144411520 is about 524.6471037341.
Adding to 144411520 its reverse (25114441), we get a palindrome (169525961).
The spelling of 144411520 in words is "one hundred forty-four million, four hundred eleven thousand, five hundred twenty".
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