Search a number
-
+
12253412142 = 2322697573343
BaseRepresentation
bin10110110100101110…
…00011101100101110
31011121221221211110100
423122113003230232
5200043333142032
65343521051530
7612436166436
oct133227035456
934557854410
1012253412142
1152188059a4
12245b786ba6
13120380033a
148435452c6
154bab2a97c
hex2da5c3b2e

12253412142 has 48 divisors (see below), whose sum is σ = 26690938560. Its totient is φ = 4062695616.

The previous prime is 12253412131. The next prime is 12253412147. The reversal of 12253412142 is 24121435221.

12253412142 is a `hidden beast` number, since 1 + 2 + 2 + 534 + 121 + 4 + 2 = 666.

It is a super-2 number, since 2×122534121422 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12253412147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3663723 + ... + 3667065.

It is an arithmetic number, because the mean of its divisors is an integer number (556061220).

Almost surely, 212253412142 is an apocalyptic number.

12253412142 is an abundant number, since it is smaller than the sum of its proper divisors (14437526418).

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

12253412142 is a wasteful number, since it uses less digits than its factorization.

12253412142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4374 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

Adding to 12253412142 its reverse (24121435221), we get a palindrome (36374847363).

The spelling of 12253412142 in words is "twelve billion, two hundred fifty-three million, four hundred twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 269 538 757 807 1514 1614 2271 2421 3343 4542 4842 6686 6813 10029 13626 20058 30087 60174 203633 407266 610899 899267 1221798 1798534 1832697 2530651 2697801 3665394 5061302 5395602 7591953 8093403 15183906 16186806 22775859 45551718 680745119 1361490238 2042235357 4084470714 6126706071 12253412142