Base | Representation |
---|---|
bin | 10001001011111… |
… | …10010000000000 |
3 | 101001021200211220 |
4 | 20211332100000 |
5 | 243402001112 |
6 | 22150035040 |
7 | 3400304424 |
oct | 1045762000 |
9 | 331250756 |
10 | 144172032 |
11 | 74421644 |
12 | 40348a80 |
13 | 23b3b2c4 |
14 | 1520cb84 |
15 | c9cc98c |
hex | 897e400 |
144172032 has 88 divisors (see below), whose sum is σ = 390272832. Its totient is φ = 47308800.
The previous prime is 144172009. The next prime is 144172081. The reversal of 144172032 is 230271441.
It is a happy number.
It is a super-2 number, since 2×1441720322 = 41571149622018048, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 144171993 and 144172011.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217782 + ... + 218442.
Almost surely, 2144172032 is an apocalyptic number.
144172032 is a gapful number since it is divisible by the number (12) 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 144172032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195136416).
144172032 is an abundant number, since it is smaller than the sum of its proper divisors (246100800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144172032 is an equidigital number, since it uses as much as digits as its factorization.
144172032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 755 (or 737 counting only the distinct ones).
The product of its (nonzero) digits is 1344, while the sum is 24.
The square root of 144172032 is about 12007.1658604352. The cubic root of 144172032 is about 524.3569232694.
The spelling of 144172032 in words is "one hundred forty-four million, one hundred seventy-two thousand, thirty-two".
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