Base | Representation |
---|---|
bin | 10001001111101… |
… | …11100100000000 |
3 | 101002012221110110 |
4 | 20213313210000 |
5 | 244013401203 |
6 | 22204431320 |
7 | 3404444205 |
oct | 1047674400 |
9 | 332187413 |
10 | 144668928 |
11 | 747309a8 |
12 | 40548540 |
13 | 23c83521 |
14 | 152dbcac |
15 | ca79d03 |
hex | 89f7900 |
144668928 has 72 divisors (see below), whose sum is σ = 388670688. Its totient is φ = 47767552.
The previous prime is 144668921. The next prime is 144668947. The reversal of 144668928 is 829866441.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is not an unprimeable number, because it can be changed into a prime (144668921) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85951 + ... + 87617.
It is an arithmetic number, because the mean of its divisors is an integer number (5398204).
Almost surely, 2144668928 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 144668928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194335344).
144668928 is an abundant number, since it is smaller than the sum of its proper divisors (244001760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144668928 is a wasteful number, since it uses less digits than its factorization.
144668928 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1799 (or 1785 counting only the distinct ones).
The product of its digits is 663552, while the sum is 48.
The square root of 144668928 is about 12027.8397062814. The cubic root of 144668928 is about 524.9586398256.
The spelling of 144668928 in words is "one hundred forty-four million, six hundred sixty-eight thousand, nine hundred twenty-eight".
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