Search a number
-
+
2144134399 = 112591571913
BaseRepresentation
bin111111111001100…
…1110010011111111
312112102120022110011
41333303032103333
513342344300044
6552432124051
7104063561461
oct17763162377
95472508404
102144134399
11a00342a00
124ba096627
132822a14a4
14164a98131
15c8384134
hex7fcce4ff

2144134399 has 24 divisors (see below), whose sum is σ = 2413247760. Its totient is φ = 1902975360.

The previous prime is 2144134397. The next prime is 2144134411. The reversal of 2144134399 is 9934314412.

It is not a de Polignac number, because 2144134399 - 21 = 2144134397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144134393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1119867 + ... + 1121779.

It is an arithmetic number, because the mean of its divisors is an integer number (100551990).

Almost surely, 22144134399 is an apocalyptic number.

2144134399 is a deficient number, since it is larger than the sum of its proper divisors (269113361).

2144134399 is a wasteful number, since it uses less digits than its factorization.

2144134399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2140 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The square root of 2144134399 is about 46304.7988765743. The cubic root of 2144134399 is about 1289.4880886542.

It can be divided in two parts, 214413 and 4399, that added together give a palindrome (218812).

The spelling of 2144134399 in words is "two billion, one hundred forty-four million, one hundred thirty-four thousand, three hundred ninety-nine".

Divisors: 1 11 59 121 157 649 1727 1913 7139 9263 18997 21043 101893 112867 231473 300341 1120823 1241537 3303751 13656907 17720119 36341261 194921309 2144134399