Base | Representation |
---|---|
bin | 1000011011001101110… |
… | …0001111110111010001 |
3 | 111211121111012210002210 |
4 | 2012303130033313101 |
5 | 4332414034304231 |
6 | 150254503502333 |
7 | 13312621334406 |
oct | 2066334176721 |
9 | 454544183083 |
10 | 144744447441 |
11 | 56427515790 |
12 | 240767579a9 |
13 | 108597b5a49 |
14 | 70117aa2ad |
15 | 3b724e8a46 |
hex | 21b370fdd1 |
144744447441 has 48 divisors (see below), whose sum is σ = 218408433984. Its totient is φ = 84500640000.
The previous prime is 144744447431. The next prime is 144744447469.
144744447441 is nontrivially palindromic in base 10.
It is not a de Polignac number, because 144744447441 - 211 = 144744445393 is a prime.
It is a super-2 number, since 2×1447444474412 (a number of 23 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (144744447431) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12449611 + ... + 12461231.
It is an arithmetic number, because the mean of its divisors is an integer number (4550175708).
Almost surely, 2144744447441 is an apocalyptic number.
144744447441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
144744447441 is a deficient number, since it is larger than the sum of its proper divisors (73663986543).
144744447441 is a wasteful number, since it uses less digits than its factorization.
144744447441 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 11874 (or 11773 counting only the distinct ones).
The product of its digits is 3211264, while the sum is 48.
The spelling of 144744447441 in words is "one hundred forty-four billion, seven hundred forty-four million, four hundred forty-seven thousand, four hundred forty-one".
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