Search a number
-
+
2318420388496 = 24347210972
BaseRepresentation
bin100001101111001100100…
…111111010101010010000
322012122020200222120100011
4201233030213322222100
5300441111104412441
64533022335004304
7326333422102102
oct41571447725220
98178220876304
102318420388496
11814266960653
123153aa369694
1313a81a723034
14802d81ad572
15404928d4581
hex21bcc9faa90

2318420388496 has 45 divisors (see below), whose sum is σ = 4509032205769. Its totient is φ = 1154815866752.

The previous prime is 2318420388413. The next prime is 2318420388497. The reversal of 2318420388496 is 6948830248132.

It is a happy number.

The square root of 2318420388496 is 1522636.

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

2318420388496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 659311520400 + 1659108868096 = 811980^2 + 1288064^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2318420388496.

It is not an unprimeable number, because it can be changed into a prime (2318420388497) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2113418220 + ... + 2113419316.

Almost surely, 22318420388496 is an apocalyptic number.

2318420388496 is the 1522636-th square number.

It is an amenable number.

2318420388496 is a deficient number, since it is larger than the sum of its proper divisors (2190611817273).

2318420388496 is an frugal number, since it uses more digits than its factorization.

2318420388496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 58.

The spelling of 2318420388496 in words is "two trillion, three hundred eighteen billion, four hundred twenty million, three hundred eighty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 347 694 1097 1388 2194 2776 4388 5552 8776 17552 120409 240818 380659 481636 761318 963272 1203409 1522636 1926544 2406818 3045272 4813636 6090544 9627272 19254544 132088673 264177346 417582923 528354692 835165846 1056709384 1670331692 2113418768 3340663384 6681326768 144901274281 289802548562 579605097124 1159210194248 2318420388496