Base | Representation |
---|---|
bin | 10001001101111… |
… | …00010001110100 |
3 | 101001202121100211 |
4 | 20212330101310 |
5 | 243433113400 |
6 | 22155315204 |
7 | 3402413230 |
oct | 1046742164 |
9 | 331677324 |
10 | 144426100 |
11 | 74585515 |
12 | 4044bb04 |
13 | 23bc9b40 |
14 | 152775c0 |
15 | ca2cdba |
hex | 89bc474 |
144426100 has 144 divisors (see below), whose sum is σ = 393724800. Its totient is φ = 44766720.
The previous prime is 144426097. The next prime is 144426103. The reversal of 144426100 is 1624441.
It is an interprime number because it is at equal distance from previous prime (144426097) and next prime (144426103).
It is a super-2 number, since 2×1444261002 = 41717796722420000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144426103) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536766 + ... + 537034.
It is an arithmetic number, because the mean of its divisors is an integer number (2734200).
Almost surely, 2144426100 is an apocalyptic number.
144426100 is a gapful number since it is divisible by the number (10) 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 144426100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196862400).
144426100 is an abundant number, since it is smaller than the sum of its proper divisors (249298700).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144426100 is a wasteful number, since it uses less digits than its factorization.
144426100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 362 (or 355 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 22.
The square root of 144426100 is about 12017.7410522943. The cubic root of 144426100 is about 524.6647595216.
The spelling of 144426100 in words is "one hundred forty-four million, four hundred twenty-six thousand, one hundred".
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