Search a number
-
+
3121313401424 = 241797211180477
BaseRepresentation
bin101101011010111100110…
…001101100101001010000
3102001101122200211120222202
4231122330301230221100
5402114422212321144
610345524522422332
7441336025104131
oct55327461545120
912041580746882
103121313401424
11aa3818051819
12424b216619a8
13198452b6507a
14ab10284bc88
15562d4b8564e
hex2d6bcc6ca50

3121313401424 has 40 divisors (see below), whose sum is σ = 6403946770728. Its totient is φ = 1468701020160.

The previous prime is 3121313401189. The next prime is 3121313401447. The reversal of 3121313401424 is 4241043131213.

3121313401424 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 4 ways, for example, as 478542965824 + 2642770435600 = 691768^2 + 1625660^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2053874 + ... + 3234350.

Almost surely, 23121313401424 is an apocalyptic number.

3121313401424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3121313401424 is an abundant number, since it is smaller than the sum of its proper divisors (3282633369304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3121313401424 is a wasteful number, since it uses less digits than its factorization.

3121313401424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190223 (or 1190217 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 3121313401424 its reverse (4241043131213), we get a palindrome (7362356532637).

The spelling of 3121313401424 in words is "three trillion, one hundred twenty-one billion, three hundred thirteen million, four hundred one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 9721 19442 38884 77768 155536 165257 330514 661028 1180477 1322056 2360954 2644112 4721908 9443816 18887632 20068109 40136218 80272436 160544872 321089744 11475416917 22950833834 45901667668 91803335336 183606670672 195082087589 390164175178 780328350356 1560656700712 3121313401424