Search a number
-
+
13340440221030 = 23251311402085659
BaseRepresentation
bin1100001000100001000000…
…1100110101010101100110
31202020100000012211122020200
43002020100030311111212
53222032210144033110
644212302540011330
72544546354625056
oct302102014652546
952210005748220
1013340440221030
1142837157a166a
1215b5572530b46
13759cc8b211a0
14341975da9566
151820372d86c0
hexc2210335566

13340440221030 has 48 divisors (see below), whose sum is σ = 37353232622160. Its totient is φ = 3283800669504.

The previous prime is 13340440220953. The next prime is 13340440221061. The reversal of 13340440221030 is 3012204404331.

13340440221030 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 0 + 440 + 2 + 210 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13340440220985 and 13340440221003.

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 23 ways as a sum of consecutive naturals, for example, 5701041660 + ... + 5701043999.

It is an arithmetic number, because the mean of its divisors is an integer number (778192346295).

Almost surely, 213340440221030 is an apocalyptic number.

13340440221030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13340440221030 is an abundant number, since it is smaller than the sum of its proper divisors (24012792401130).

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

13340440221030 is a wasteful number, since it uses less digits than its factorization.

13340440221030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11402085685 (or 11402085682 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13340440221030 its reverse (3012204404331), we get a palindrome (16352644625361).

The spelling of 13340440221030 in words is "thirteen trillion, three hundred forty billion, four hundred forty million, two hundred twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 11402085659 22804171318 34206256977 57010428295 68412513954 102618770931 114020856590 148227113567 171031284885 205237541862 296454227134 342062569770 444681340701 513093854655 741135567835 889362681402 1026187709310 1334044022103 1482271135670 2223406703505 2668088044206 4446813407010 6670220110515 13340440221030