Base | Representation |
---|---|
bin | 1011111110011000… |
… | …0101011110010000 |
3 | 22022000112001221101 |
4 | 2333212011132100 |
5 | 23040343312034 |
6 | 1250544234144 |
7 | 142441136200 |
oct | 27746053620 |
9 | 8260461841 |
10 | 3214432144 |
11 | 13aa5104a0 |
12 | 75860b954 |
13 | 3c2c52871 |
14 | 226ca4400 |
15 | 13c2ee514 |
hex | bf985790 |
3214432144 has 120 divisors (see below), whose sum is σ = 8097044256. Its totient is φ = 1221696000.
The previous prime is 3214432121. The next prime is 3214432189. The reversal of 3214432144 is 4412344123.
It is a Harshad number since it is a multiple of its sum of digits (28).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349039 + ... + 358129.
Almost surely, 23214432144 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 3214432144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048522128).
3214432144 is an abundant number, since it is smaller than the sum of its proper divisors (4882612112).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3214432144 is a wasteful number, since it uses less digits than its factorization.
3214432144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9165 (or 9152 counting only the distinct ones).
The product of its digits is 9216, while the sum is 28.
The square root of 3214432144 is about 56695.9623253720. The cubic root of 3214432144 is about 1475.8246303739.
Adding to 3214432144 its reverse (4412344123), we get a palindrome (7626776267).
The spelling of 3214432144 in words is "three billion, two hundred fourteen million, four hundred thirty-two thousand, one hundred forty-four".
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