Base | Representation |
---|---|
bin | 10001010000001… |
… | …00011110010000 |
3 | 101002022121222222 |
4 | 20220010132100 |
5 | 244022044213 |
6 | 22205520212 |
7 | 3405054320 |
oct | 1050043620 |
9 | 332277888 |
10 | 144721808 |
11 | 74767700 |
12 | 40573068 |
13 | 23ca160a |
14 | 15313280 |
15 | ca8a808 |
hex | 8a04790 |
144721808 has 120 divisors (see below), whose sum is σ = 360185280. Its totient is φ = 55123200.
The previous prime is 144721793. The next prime is 144721823. The reversal of 144721808 is 808127441.
It is an interprime number because it is at equal distance from previous prime (144721793) and next prime (144721823).
It is a super-3 number, since 3×1447218083 (a number of 25 digits) contains 333 as substring.
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 zygodrome in base 9.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 799478 + ... + 799658.
It is an arithmetic number, because the mean of its divisors is an integer number (3001544).
Almost surely, 2144721808 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 144721808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180092640).
144721808 is an abundant number, since it is smaller than the sum of its proper divisors (215463472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144721808 is a wasteful number, since it uses less digits than its factorization.
144721808 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 277 (or 260 counting only the distinct ones).
The product of its (nonzero) digits is 14336, while the sum is 35.
The square root of 144721808 is about 12030.0377389267. The cubic root of 144721808 is about 525.0225937366.
The spelling of 144721808 in words is "one hundred forty-four million, seven hundred twenty-one thousand, eight hundred eight".
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