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11411344314 = 23470440397
BaseRepresentation
bin10101010000010101…
…10100101110111010
31002110021110100120000
422220022310232322
5141332301004224
65124200413430
7552532553256
oct125012645672
932407410500
1011411344314
114926451977
122265777276
1310cb20b656
147a3789266
1546bc440c9
hex2a82b4bba

11411344314 has 20 divisors (see below), whose sum is σ = 25569864474. Its totient is φ = 3803781384.

The previous prime is 11411344313. The next prime is 11411344319. The reversal of 11411344314 is 41344311411.

11411344314 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 1 + 344 + 314 = 666.

11411344314 is digitally balanced in base 2 and base 5, because in such bases 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., 9650115225 + 1761229089 = 98235^2 + 41967^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11411344313) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 35220037 + ... + 35220360.

Almost surely, 211411344314 is an apocalyptic number.

11411344314 is an abundant number, since it is smaller than the sum of its proper divisors (14158520160).

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

11411344314 is an equidigital number, since it uses as much as digits as its factorization.

11411344314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70440411 (or 70440402 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 11411344314 its reverse (41344311411), we get a palindrome (52755655725).

The spelling of 11411344314 in words is "eleven billion, four hundred eleven million, three hundred forty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 70440397 140880794 211321191 422642382 633963573 1267927146 1901890719 3803781438 5705672157 11411344314