Base | Representation |
---|---|
bin | 10001010010100… |
… | …10101011100000 |
3 | 101002220220102021 |
4 | 20221102223200 |
5 | 244112322034 |
6 | 22220431224 |
7 | 3410560252 |
oct | 1051225340 |
9 | 332826367 |
10 | 145042144 |
11 | 74966345 |
12 | 406a8514 |
13 | 24084370 |
14 | 15397cd2 |
15 | cb006b4 |
hex | 8a52ae0 |
145042144 has 48 divisors (see below), whose sum is σ = 309687840. Its totient is φ = 66470400.
The previous prime is 145042129. The next prime is 145042159. The reversal of 145042144 is 441240541.
It is an interprime number because it is at equal distance from previous prime (145042129) and next prime (145042159).
It is a super-2 number, since 2×1450421442 = 42074447072233472, which contains 22 as substring.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61662 + ... + 63970.
It is an arithmetic number, because the mean of its divisors is an integer number (6451830).
Almost surely, 2145042144 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 145042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154843920).
145042144 is an abundant number, since it is smaller than the sum of its proper divisors (164645696).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
145042144 is a wasteful number, since it uses less digits than its factorization.
145042144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2483 (or 2475 counting only the distinct ones).
The product of its (nonzero) digits is 2560, while the sum is 25.
The square root of 145042144 is about 12043.3443860084. The cubic root of 145042144 is about 525.4096805275.
Adding to 145042144 its reverse (441240541), we get a palindrome (586282685).
The spelling of 145042144 in words is "one hundred forty-five million, forty-two thousand, one hundred forty-four".
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