Base | Representation |
---|---|
bin | 10001001111110… |
… | …00111101010000 |
3 | 101002020020022000 |
4 | 20213320331100 |
5 | 244014042030 |
6 | 22204514000 |
7 | 3404466645 |
oct | 1047707520 |
9 | 332206260 |
10 | 144674640 |
11 | 74735220 |
12 | 4054b900 |
13 | 23c85cc6 |
14 | 152dddcc |
15 | ca7b860 |
hex | 89f8f50 |
144674640 has 160 divisors (see below), whose sum is σ = 543715200. Its totient is φ = 35066880.
The previous prime is 144674617. The next prime is 144674653. The reversal of 144674640 is 46476441.
144674640 is a `hidden beast` number, since 1 + 4 + 4 + 6 + 7 + 4 + 640 = 666.
144674640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 144674595 and 144674604.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20716 + ... + 26804.
It is an arithmetic number, because the mean of its divisors is an integer number (3398220).
Almost surely, 2144674640 is an apocalyptic number.
144674640 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 144674640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271857600).
144674640 is an abundant number, since it is smaller than the sum of its proper divisors (399040560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144674640 is a wasteful number, since it uses less digits than its factorization.
144674640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6122 (or 6110 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 36.
The square root of 144674640 is about 12028.0771530615. The cubic root of 144674640 is about 524.9655487597.
The spelling of 144674640 in words is "one hundred forty-four million, six hundred seventy-four thousand, six hundred forty".
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