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11314344340 = 22513197220897
BaseRepresentation
bin10101000100110001…
…10011000110010100
31002012111221020121101
422202120303012110
5141132433004330
65110413355444
7550244224435
oct124230630624
932174836541
1011314344340
11488671a402
122239198b84
1310b40a8510
1479493948c
154634834ca
hex2a2633194

11314344340 has 48 divisors (see below), whose sum is σ = 25717828752. Its totient is φ = 4156379136.

The previous prime is 11314344331. The next prime is 11314344343. The reversal of 11314344340 is 4344341311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 311593104 + 11002751236 = 17652^2 + 104894^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11314344299 and 11314344308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314344343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59229 + ... + 161668.

It is an arithmetic number, because the mean of its divisors is an integer number (535788099).

Almost surely, 211314344340 is an apocalyptic number.

11314344340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11314344340 is an abundant number, since it is smaller than the sum of its proper divisors (14403484412).

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

11314344340 is a wasteful number, since it uses less digits than its factorization.

11314344340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221116 (or 221114 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 11314344340 its reverse (4344341311), we get a palindrome (15658685651).

The spelling of 11314344340 in words is "eleven billion, three hundred fourteen million, three hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 197 260 394 788 985 1970 2561 3940 5122 10244 12805 25610 51220 220897 441794 883588 1104485 2208970 2871661 4417940 5743322 11486644 14358305 28716610 43516709 57433220 87033418 174066836 217583545 435167090 565717217 870334180 1131434434 2262868868 2828586085 5657172170 11314344340