Search a number
-
+
511142144 = 281996649
BaseRepresentation
bin11110011101110…
…110100100000000
31022121210201012112
4132131312210000
52021323022034
6122415314452
715444431222
oct3635664400
91277721175
10511142144
11242587727
1212321ba28
1381b86796
144bc56412
152ed197ce
hex1e776900

511142144 has 18 divisors (see below), whose sum is σ = 1020288150. Its totient is φ = 255570944.

The previous prime is 511142141. The next prime is 511142189. The reversal of 511142144 is 441241115.

It can be written as a sum of positive squares in only one way, i.e., 318265600 + 192876544 = 17840^2 + 13888^2 .

It is a super-2 number, since 2×5111421442 = 522532582745833472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511142141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 998069 + ... + 998580.

It is an arithmetic number, because the mean of its divisors is an integer number (56682675).

Almost surely, 2511142144 is an apocalyptic number.

It is an amenable number.

511142144 is a deficient number, since it is larger than the sum of its proper divisors (509146006).

511142144 is an equidigital number, since it uses as much as digits as its factorization.

511142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996665 (or 1996651 counting only the distinct ones).

The product of its digits is 640, while the sum is 23.

The square root of 511142144 is about 22608.4529324764. The cubic root of 511142144 is about 799.5529502297.

Adding to 511142144 its reverse (441241115), we get a palindrome (952383259).

The spelling of 511142144 in words is "five hundred eleven million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 256 1996649 3993298 7986596 15973192 31946384 63892768 127785536 255571072 511142144