Search a number
-
+
11412424422 = 2337293103043
BaseRepresentation
bin10101010000011101…
…11100011011100110
31002110100111020012000
422220032330123212
5141333040040142
65124235510130
7552545002260
oct125016743346
932410436160
1011412424422
11492701a423
122265bb8346
1310cb4c9179
147a398ab30
1546bda914c
hex2a83bc6e6

11412424422 has 64 divisors (see below), whose sum is σ = 29083138560. Its totient is φ = 3249532512.

The previous prime is 11412424421. The next prime is 11412424453. The reversal of 11412424422 is 22442421411.

11412424422 is a `hidden beast` number, since 1 + 1 + 412 + 4 + 244 + 2 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11412424421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59233 + ... + 162275.

It is an arithmetic number, because the mean of its divisors is an integer number (454424040).

Almost surely, 211412424422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11412424422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14541569280).

11412424422 is an abundant number, since it is smaller than the sum of its proper divisors (17670714138).

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

11412424422 is a wasteful number, since it uses less digits than its factorization.

11412424422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103354 (or 103348 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

Adding to 11412424422 its reverse (22442421411), we get a palindrome (33854845833).

The spelling of 11412424422 in words is "eleven billion, four hundred twelve million, four hundred twenty-four thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 293 378 586 879 1758 2051 2637 4102 5274 6153 7911 12306 15822 18459 36918 55377 103043 110754 206086 309129 618258 721301 927387 1442602 1854774 2163903 2782161 4327806 5564322 6491709 12983418 19475127 30191599 38950254 60383198 90574797 181149594 211341193 271724391 422682386 543448782 634023579 815173173 1268047158 1630346346 1902070737 3804141474 5706212211 11412424422