Base | Representation |
---|---|
bin | 10100000100011001110011… |
… | …00111110110001001111000 |
3 | 12210020221202221020102112012 |
4 | 22002030321213312021320 |
5 | 21241023313430310034 |
6 | 233505503152305052 |
7 | 12203262022120331 |
oct | 1202147147661170 |
9 | 183227687212465 |
10 | 44131755713144 |
11 | 13075199651070 |
12 | 4b49043842188 |
13 | 1b817b6c1cc28 |
14 | ac7dba14d288 |
15 | 517e7cc46cce |
hex | 2823399f6278 |
44131755713144 has 64 divisors (see below), whose sum is σ = 94204661748480. Its totient is φ = 19185601248000.
The previous prime is 44131755713099. The next prime is 44131755713147.
44131755713144 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×441317557131442 (a number of 28 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 44131755713092 and 44131755713101.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (44131755713147) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17200964 + ... + 19599404.
It is an arithmetic number, because the mean of its divisors is an integer number (1471947839820).
Almost surely, 244131755713144 is an apocalyptic number.
44131755713144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.
It is an amenable number.
44131755713144 is an abundant number, since it is smaller than the sum of its proper divisors (50072906035336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
44131755713144 is a wasteful number, since it uses less digits than its factorization.
44131755713144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2407572 (or 2407568 counting only the distinct ones).
The product of its digits is 2822400, while the sum is 50.
The spelling of 44131755713144 in words is "forty-four trillion, one hundred thirty-one billion, seven hundred fifty-five million, seven hundred thirteen thousand, one hundred forty-four".
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