Search a number
-
+
12415323042 = 23223199150697
BaseRepresentation
bin10111001000000001…
…01100101110100010
31012001020121202110100
423210000230232202
5200411310314132
65411543243230
7616443335043
oct134400545642
935036552410
1012415323042
1152a1142a61
1224a5a49516
13122b20c7c5
1485ac508ca
154c9e5e37c
hex2e402cba2

12415323042 has 48 divisors (see below), whose sum is σ = 28210665600. Its totient is φ = 3938590656.

The previous prime is 12415323001. The next prime is 12415323047. The reversal of 12415323042 is 24032351421.

12415323042 is a `hidden beast` number, since 12 + 415 + 3 + 230 + 4 + 2 = 666.

It is a super-2 number, since 2×124153230422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12415322997 and 12415323015.

It is not an unprimeable number, because it can be changed into a prime (12415323047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7038 + ... + 157734.

It is an arithmetic number, because the mean of its divisors is an integer number (587722200).

Almost surely, 212415323042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12415323042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14105332800).

12415323042 is an abundant number, since it is smaller than the sum of its proper divisors (15795342558).

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

12415323042 is a wasteful number, since it uses less digits than its factorization.

12415323042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150927 (or 150924 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12415323042 its reverse (24032351421), we get a palindrome (36447674463).

The spelling of 12415323042 in words is "twelve billion, four hundred fifteen million, three hundred twenty-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 199 207 398 414 597 1194 1791 3582 4577 9154 13731 27462 41193 82386 150697 301394 452091 904182 1356273 2712546 3466031 6932062 10398093 20796186 29988703 31194279 59977406 62388558 89966109 179932218 269898327 539796654 689740169 1379480338 2069220507 4138441014 6207661521 12415323042