Base | Representation |
---|---|
bin | 11001010001110… |
… | …110100001000000 |
3 | 1002120001000202010 |
4 | 121101312201000 |
5 | 1332033011034 |
6 | 110030052520 |
7 | 13336606503 |
oct | 3121664100 |
9 | 1076030663 |
10 | 424110144 |
11 | 1a8443257 |
12 | ba04a140 |
13 | 69b33763 |
14 | 4047d13a |
15 | 273773e9 |
hex | 19476840 |
424110144 has 56 divisors (see below), whose sum is σ = 1137533920. Its totient is φ = 139428864.
The previous prime is 424110143. The next prime is 424110149. The reversal of 424110144 is 441011424.
It is a self number, because there is not a number n which added to its sum of digits gives 424110144.
It is not an unprimeable number, because it can be changed into a prime (424110143) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1114 + ... + 29145.
Almost surely, 2424110144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 424110144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568766960).
424110144 is an abundant number, since it is smaller than the sum of its proper divisors (713423776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
424110144 is a wasteful number, since it uses less digits than its factorization.
424110144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30347 (or 30337 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 21.
The square root of 424110144 is about 20593.9346410539. The cubic root of 424110144 is about 751.3221974665.
Adding to 424110144 its reverse (441011424), we get a palindrome (865121568).
The spelling of 424110144 in words is "four hundred twenty-four million, one hundred ten thousand, one hundred forty-four".
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