Base | Representation |
---|---|
bin | 100010000110111… |
… | …1011111111111010 |
3 | 2221202120211202200 |
4 | 1010031323333322 |
5 | 4320443114224 |
6 | 305322411030 |
7 | 40235061162 |
oct | 10415737772 |
9 | 2852524680 |
10 | 1144504314 |
11 | 538052038 |
12 | 27b360a76 |
13 | 1531637b5 |
14 | ac0055a2 |
15 | 6a7275c9 |
hex | 4437bffa |
1144504314 has 96 divisors (see below), whose sum is σ = 2676810240. Its totient is φ = 352598400.
The previous prime is 1144504307. The next prime is 1144504351. The reversal of 1144504314 is 4134054411.
1144504314 is a `hidden beast` number, since 1 + 144 + 504 + 3 + 14 = 666.
It is a super-3 number, since 3×11445043143 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Curzon number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1731144 + ... + 1731804.
It is an arithmetic number, because the mean of its divisors is an integer number (27883440).
Almost surely, 21144504314 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1144504314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338405120).
1144504314 is an abundant number, since it is smaller than the sum of its proper divisors (1532305926).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1144504314 is a wasteful number, since it uses less digits than its factorization.
1144504314 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 836 (or 833 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 27.
The square root of 1144504314 is about 33830.5234071245. The cubic root of 1144504314 is about 1046.0179679263.
Adding to 1144504314 its reverse (4134054411), we get a palindrome (5278558725).
The spelling of 1144504314 in words is "one billion, one hundred forty-four million, five hundred four thousand, three hundred fourteen".
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