Search a number
-
+
2003142312404 = 226145717964113
BaseRepresentation
bin11101001001100100100…
…101100000000111010100
321002111110102122212012222
4131021210211200013110
5230304413412444104
64132121511401512
7264502506501512
oct35114445400724
97074412585188
102003142312404
11702589682692
12284280383298
13116b8458561c
146cd49d3d4b2
153718dcd31be
hex1d2649601d4

2003142312404 has 24 divisors (see below), whose sum is σ = 3570762868008. Its totient is φ = 982996208640.

The previous prime is 2003142312373. The next prime is 2003142312443. The reversal of 2003142312404 is 4042132413002.

It can be written as a sum of positive squares in 4 ways, for example, as 700686184900 + 1302456127504 = 837070^2 + 1141252^2 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 8870549 + ... + 9093564.

It is an arithmetic number, because the mean of its divisors is an integer number (148781786167).

Almost surely, 22003142312404 is an apocalyptic number.

It is an amenable number.

2003142312404 is a deficient number, since it is larger than the sum of its proper divisors (1567620555604).

2003142312404 is a wasteful number, since it uses less digits than its factorization.

2003142312404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17964635 (or 17964633 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2003142312404 its reverse (4042132413002), we get a palindrome (6045274725406).

The spelling of 2003142312404 in words is "two trillion, three billion, one hundred forty-two million, three hundred twelve thousand, four hundred four".

Divisors: 1 2 4 61 122 244 457 914 1828 27877 55754 111508 17964113 35928226 71856452 1095810893 2191621786 4383243572 8209599641 16419199282 32838398564 500785578101 1001571156202 2003142312404