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11040012434241 = 3272125691991729
BaseRepresentation
bin1010000010100111010000…
…0001001111101101000001
31110002102012110002221101100
42200221310001033231001
52421334421140343431
635251413420525013
72216420541232500
oct240516401175501
943072173087340
1011040012434241
11357705222aa8a
1212a37659b0769
136210b7c3b14b
142a24a765c837
151422992ea4e6
hexa0a7404fb41

11040012434241 has 36 divisors (see below), whose sum is σ = 18551710160100. Its totient is φ = 6308073451008.

The previous prime is 11040012434233. The next prime is 11040012434441. The reversal of 11040012434241 is 14243421004011.

11040012434241 is a `hidden beast` number, since 1 + 1 + 0 + 400 + 12 + 4 + 3 + 4 + 241 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9980133948225 + 1059878486016 = 3159135^2 + 1029504^2 .

It is not a de Polignac number, because 11040012434241 - 23 = 11040012434233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11040012434201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4547065 + ... + 6538793.

It is an arithmetic number, because the mean of its divisors is an integer number (515325282225).

Almost surely, 211040012434241 is an apocalyptic number.

It is an amenable number.

11040012434241 is a deficient number, since it is larger than the sum of its proper divisors (7511697725859).

11040012434241 is a wasteful number, since it uses less digits than its factorization.

11040012434241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004318 (or 2004308 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 11040012434241 its reverse (14243421004011), we get a palindrome (25283433438252).

The spelling of 11040012434241 in words is "eleven trillion, forty billion, twelve million, four hundred thirty-four thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 12569 37707 87983 113121 263949 615881 791847 1847643 1991729 5542929 5975187 13942103 17925561 41826309 97594721 125478927 292784163 878352489 25034041801 75102125403 175238292607 225306376209 525714877821 1226668048249 1577144633463 3680004144747 11040012434241