Base | Representation |
---|---|
bin | 10001001101100… |
… | …00100011100000 |
3 | 101001200011111022 |
4 | 20212300203200 |
5 | 243430044310 |
6 | 22154305012 |
7 | 3402123230 |
oct | 1046604340 |
9 | 331604438 |
10 | 144378080 |
11 | 74552430 |
12 | 40428168 |
13 | 23bb1022 |
14 | 15263cc0 |
15 | ca1da55 |
hex | 89b08e0 |
144378080 has 96 divisors (see below), whose sum is σ = 425295360. Its totient is φ = 44997120.
The previous prime is 144378079. The next prime is 144378083. The reversal of 144378080 is 80873441.
It is a happy number.
It is a hoax number, since the sum of its digits (35) 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 (35).
It is a self number, because there is not a number n which added to its sum of digits gives 144378080.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144378083) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6461 + ... + 18179.
It is an arithmetic number, because the mean of its divisors is an integer number (4430160).
Almost surely, 2144378080 is an apocalyptic number.
144378080 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 144378080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212647680).
144378080 is an abundant number, since it is smaller than the sum of its proper divisors (280917280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144378080 is a wasteful number, since it uses less digits than its factorization.
144378080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11752 (or 11744 counting only the distinct ones).
The product of its (nonzero) digits is 21504, while the sum is 35.
The square root of 144378080 is about 12015.7430065727. The cubic root of 144378080 is about 524.6066047639.
The spelling of 144378080 in words is "one hundred forty-four million, three hundred seventy-eight thousand, eighty".
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