Base | Representation |
---|---|
bin | 10001001011111… |
… | …10110101010000 |
3 | 101001021211010012 |
4 | 20211332311100 |
5 | 243402040131 |
6 | 22150054052 |
7 | 3400314401 |
oct | 1045766520 |
9 | 331254105 |
10 | 144174416 |
11 | 74423411 |
12 | 4034a328 |
13 | 23b3c409 |
14 | 1520d9a8 |
15 | c9cd52b |
hex | 897ed50 |
144174416 has 80 divisors (see below), whose sum is σ = 307707984. Its totient is φ = 65175552.
The previous prime is 144174379. The next prime is 144174461. The reversal of 144174416 is 614471441.
144174416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 8 ways, for example, as 16032016 + 128142400 = 4004^2 + 11320^2 .
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1052300 + ... + 1052436.
Almost surely, 2144174416 is an apocalyptic number.
144174416 is a gapful number since it is divisible by the number (16) 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 144174416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153853992).
144174416 is an abundant number, since it is smaller than the sum of its proper divisors (163533568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144174416 is a wasteful number, since it uses less digits than its factorization.
144174416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 288 (or 282 counting only the distinct ones).
The product of its digits is 10752, while the sum is 32.
The square root of 144174416 is about 12007.2651340761. The cubic root of 144174416 is about 524.3598134740.
It can be divided in two parts, 1441 and 74416, that added together give a palindrome (75857).
The spelling of 144174416 in words is "one hundred forty-four million, one hundred seventy-four thousand, four hundred sixteen".
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