Base | Representation |
---|---|
bin | 100010000110000… |
… | …1010101111101000 |
3 | 2221201201021102120 |
4 | 1010030022233220 |
5 | 4320333243144 |
6 | 305304431240 |
7 | 40231116552 |
oct | 10414125750 |
9 | 2851637376 |
10 | 1144040424 |
11 | 53786555a |
12 | 27b178520 |
13 | 1530305c7 |
14 | abd244d2 |
15 | 6a684e19 |
hex | 4430abe8 |
1144040424 has 64 divisors (see below), whose sum is σ = 2988748800. Its totient is φ = 364241856.
The previous prime is 1144040419. The next prime is 1144040431. The reversal of 1144040424 is 4240404411.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a junction number, because it is equal to n+sod(n) for n = 1144040394 and 1144040403.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 607917 + ... + 609795.
It is an arithmetic number, because the mean of its divisors is an integer number (46699200).
Almost surely, 21144040424 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 1144040424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494374400).
1144040424 is an abundant number, since it is smaller than the sum of its proper divisors (1844708376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1144040424 is a wasteful number, since it uses less digits than its factorization.
1144040424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3014 (or 3010 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 24.
The square root of 1144040424 is about 33823.6666256040. Note that the first 4 decimals coincide. The cubic root of 1144040424 is about 1045.8766249761.
Adding to 1144040424 its reverse (4240404411), we get a palindrome (5384444835).
The spelling of 1144040424 in words is "one billion, one hundred forty-four million, forty thousand, four hundred twenty-four".
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