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12412414242 = 235191133717
BaseRepresentation
bin10111000111101011…
…00110100100100010
31012001001010222100000
423203311212210202
5200410034223432
65411401040430
7616406531424
oct134365464442
935031128300
1012412414242
11529a536598
1224a4a86116
13122a731817
1485a6d4814
154c9a8757c
hex2e3d66922

12412414242 has 48 divisors (see below), whose sum is σ = 28035850752. Its totient is φ = 4115778480.

The previous prime is 12412414237. The next prime is 12412414321. The reversal of 12412414242 is 24241421421.

12412414242 is a `hidden beast` number, since 1 + 2 + 4 + 1 + 2 + 414 + 242 = 666.

12412414242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 25968 + ... + 159684.

It is an arithmetic number, because the mean of its divisors is an integer number (584080224).

Almost surely, 212412414242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12412414242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14017925376).

12412414242 is an abundant number, since it is smaller than the sum of its proper divisors (15623436510).

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

12412414242 is a wasteful number, since it uses less digits than its factorization.

12412414242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133925 (or 133913 counting only the distinct ones).

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

Adding to 12412414242 its reverse (24241421421), we get a palindrome (36653835663).

The spelling of 12412414242 in words is "twelve billion, four hundred twelve million, four hundred fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 191 243 382 486 573 1146 1719 3438 5157 10314 15471 30942 46413 92826 133717 267434 401151 802302 1203453 2406906 3610359 7220718 10831077 21662154 25539947 32493231 51079894 64986462 76619841 153239682 229859523 459719046 689578569 1379157138 2068735707 4137471414 6206207121 12412414242