Base | Representation |
---|---|
bin | 10001001010101… |
… | …10101101110100 |
3 | 101000222110201102 |
4 | 20211112231310 |
5 | 243331310400 |
6 | 22142345232 |
7 | 3366031343 |
oct | 1045265564 |
9 | 330873642 |
10 | 144010100 |
11 | 74320a13 |
12 | 4028b218 |
13 | 23ab26a0 |
14 | 151a9b5a |
15 | c9999d5 |
hex | 8956b74 |
144010100 has 36 divisors (see below), whose sum is σ = 336543564. Its totient is φ = 53172480.
The previous prime is 144010079. The next prime is 144010109. The reversal of 144010100 is 1010441.
144010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 6 ways, for example, as 42484324 + 101525776 = 6518^2 + 10076^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (144010109) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54089 + ... + 56688.
Almost surely, 2144010100 is an apocalyptic number.
144010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
144010100 is an abundant number, since it is smaller than the sum of its proper divisors (192533464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144010100 is a wasteful number, since it uses less digits than its factorization.
144010100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 110804 (or 110797 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 11.
The square root of 144010100 is about 12000.4208259544. The cubic root of 144010100 is about 524.1605329479.
Adding to 144010100 its reverse (1010441), we get a palindrome (145020541).
The spelling of 144010100 in words is "one hundred forty-four million, ten thousand, one hundred".
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