Search a number
-
+
4144140625 = 581032
BaseRepresentation
bin1111011100000010…
…1001000101010001
3101200210221011012211
43313000221011101
531441400000000
61523115152121
7204460420432
oct36700510521
911623834184
104144140625
111837294209
12977a45641
1351074b621
142b4555489
15193c487ba
hexf7029151

4144140625 has 27 divisors (see below), whose sum is σ = 5230954353. Its totient is φ = 3283125000.

The previous prime is 4144140617. The next prime is 4144140653. The reversal of 4144140625 is 5260414414.

The square root of 4144140625 is 64375.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2946426961 + 1197713664 = 54281^2 + 34608^2 .

It is not a de Polignac number, because 4144140625 - 23 = 4144140617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40234324 + ... + 40234426.

Almost surely, 24144140625 is an apocalyptic number.

4144140625 is the 64375-th square number.

4144140625 is the 32188-th centered octagonal number.

It is an amenable number.

4144140625 is a deficient number, since it is larger than the sum of its proper divisors (1086813728).

4144140625 is an frugal number, since it uses more digits than its factorization.

4144140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The cubic root of 4144140625 is about 1606.2439123248.

The spelling of 4144140625 in words is "four billion, one hundred forty-four million, one hundred forty thousand, six hundred twenty-five".

Divisors: 1 5 25 103 125 515 625 2575 3125 10609 12875 15625 53045 64375 78125 265225 321875 390625 1326125 1609375 6630625 8046875 33153125 40234375 165765625 828828125 4144140625