Base | Representation |
---|---|
bin | 1001000110101110… |
… | …1010110110011111 |
3 | 20022100002101022000 |
4 | 2101223222312133 |
5 | 20001200102111 |
6 | 1042310253343 |
7 | 114365611230 |
oct | 22153526637 |
9 | 6270071260 |
10 | 2444144031 |
11 | 104472364a |
12 | 582657253 |
13 | 2cc4a3794 |
14 | 192871087 |
15 | e4895c56 |
hex | 91aead9f |
2444144031 has 64 divisors (see below), whose sum is σ = 4194140160. Its totient is φ = 1377946080.
The previous prime is 2444144023. The next prime is 2444144047. The reversal of 2444144031 is 1304414442.
2444144031 is a `hidden beast` number, since 244 + 4 + 14 + 403 + 1 = 666.
It is not a de Polignac number, because 2444144031 - 23 = 2444144023 is a prime.
It is a super-2 number, since 2×24441440312 = 11947680088545857922, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 2444143986 and 2444144004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2444144011) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6659610 + ... + 6659976.
It is an arithmetic number, because the mean of its divisors is an integer number (65533440).
Almost surely, 22444144031 is an apocalyptic number.
2444144031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.
2444144031 is a deficient number, since it is larger than the sum of its proper divisors (1749996129).
2444144031 is a wasteful number, since it uses less digits than its factorization.
2444144031 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 761 (or 755 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 27.
The square root of 2444144031 is about 49438.2850734125. The cubic root of 2444144031 is about 1347.0248208481.
Adding to 2444144031 its reverse (1304414442), we get a palindrome (3748558473).
The spelling of 2444144031 in words is "two billion, four hundred forty-four million, one hundred forty-four thousand, thirty-one".
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