Base | Representation |
---|---|
bin | 1111011100000100… |
… | …1000100001000000 |
3 | 101200211011200211101 |
4 | 3313001020201000 |
5 | 31441413110001 |
6 | 1523122024144 |
7 | 204461465002 |
oct | 36701104100 |
9 | 11624150741 |
10 | 4144269376 |
11 | 1837371a15 |
12 | 977aa8054 |
13 | 510795100 |
14 | 2b458a372 |
15 | 193c71a01 |
hex | f7048840 |
4144269376 has 63 divisors (see below), whose sum is σ = 8919454221. Its totient is φ = 1909649664.
The previous prime is 4144269373. The next prime is 4144269377. The reversal of 4144269376 is 6739624414.
The square root of 4144269376 is 64376.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 613057600 + 3531211776 = 24760^2 + 59424^2 .
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (4144269373) 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 8 ways as a sum of consecutive naturals, for example, 6694795 + ... + 6695413.
Almost surely, 24144269376 is an apocalyptic number.
4144269376 is the 64376-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4144269376
4144269376 is an abundant number, since it is smaller than the sum of its proper divisors (4775184845).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4144269376 is an frugal number, since it uses more digits than its factorization.
4144269376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1276 (or 634 counting only the distinct ones).
The product of its digits is 870912, while the sum is 46.
The cubic root of 4144269376 is about 1606.2605465229.
The spelling of 4144269376 in words is "four billion, one hundred forty-four million, two hundred sixty-nine thousand, three hundred seventy-six".
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