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11411341404 = 2231924216257
BaseRepresentation
bin10101010000010101…
…10100000001011100
31002110021110012120020
422220022310001130
5141332300411104
65124200352140
7552532541631
oct125012640134
932407405506
1011411341404
11492644a771
122265775650
1310cb20a228
147a3788188
1546bc432d9
hex2a82b405c

11411341404 has 72 divisors (see below), whose sum is σ = 28172865168. Its totient is φ = 3594447360.

The previous prime is 11411341393. The next prime is 11411341433. The reversal of 11411341404 is 40414311411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1820644 + ... + 1826900.

It is an arithmetic number, because the mean of its divisors is an integer number (391289794).

Almost surely, 211411341404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11411341404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14086432584).

11411341404 is an abundant number, since it is smaller than the sum of its proper divisors (16761523764).

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

11411341404 is a wasteful number, since it uses less digits than its factorization.

11411341404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6723 (or 6702 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11411341404 its reverse (40414311411), we get a palindrome (51825652815).

The spelling of 11411341404 in words is "eleven billion, four hundred eleven million, three hundred forty-one thousand, four hundred four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 361 421 722 842 1083 1263 1444 1684 2166 2526 4332 5052 6257 7999 12514 15998 18771 23997 25028 31996 37542 47994 75084 95988 118883 151981 237766 303962 356649 455943 475532 607924 713298 911886 1426596 1823772 2258777 2634197 4517554 5268394 6776331 7902591 9035108 10536788 13552662 15805182 27105324 31610364 50049743 100099486 150149229 200198972 300298458 600596916 950945117 1901890234 2852835351 3803780468 5705670702 11411341404