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12414414312 = 2332237496627
BaseRepresentation
bin10111000111111010…
…01110110111101000
31012001011220120220200
423203331032313220
5200411042224222
65411511552200
7616432531506
oct134375166750
935034816820
1012414414312
1152a0682243
1224a568b660
13122ac81cb1
1485aa95676
154c9d2eeac
hex2e3f4ede8

12414414312 has 48 divisors (see below), whose sum is σ = 35084219040. Its totient is φ = 3958218528.

The previous prime is 12414414277. The next prime is 12414414323. The reversal of 12414414312 is 21341441421.

12414414312 is a `hidden beast` number, since 1 + 241 + 4 + 414 + 3 + 1 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3746658 + ... + 3749969.

It is an arithmetic number, because the mean of its divisors is an integer number (730921230).

Almost surely, 212414414312 is an apocalyptic number.

12414414312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12414414312 is an abundant number, since it is smaller than the sum of its proper divisors (22669804728).

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

12414414312 is a wasteful number, since it uses less digits than its factorization.

12414414312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7496662 (or 7496655 counting only the distinct ones).

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

Adding to 12414414312 its reverse (21341441421), we get a palindrome (33755855733).

The spelling of 12414414312 in words is "twelve billion, four hundred fourteen million, four hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 7496627 14993254 22489881 29986508 44979762 59973016 67469643 89959524 134939286 172422421 179919048 269878572 344844842 517267263 539757144 689689684 1034534526 1379379368 1551801789 2069069052 3103603578 4138138104 6207207156 12414414312