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12414005340 = 22351118809099
BaseRepresentation
bin10111000111110111…
…01011000001011100
31012001011010210220120
423203323223001130
5200410441132330
65411455114540
7616426206252
oct134373530134
935034123816
1012414005340
1152a0422a50
1224a5512a50
13122ab6aab9
1485a9ca5d2
154c9c9dc10
hex2e3eeb05c

12414005340 has 48 divisors (see below), whose sum is σ = 37919145600. Its totient is φ = 3009455680.

The previous prime is 12414005339. The next prime is 12414005371. The reversal of 12414005340 is 4350041421.

It is a self number, because there is not a number n which added to its sum of digits gives 12414005340.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9403890 + ... + 9405209.

It is an arithmetic number, because the mean of its divisors is an integer number (789982200).

Almost surely, 212414005340 is an apocalyptic number.

12414005340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12414005340 is an abundant number, since it is smaller than the sum of its proper divisors (25505140260).

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

12414005340 is a wasteful number, since it uses less digits than its factorization.

12414005340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18809122 (or 18809120 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 12414005340 its reverse (4350041421), we get a palindrome (16764046761).

The spelling of 12414005340 in words is "twelve billion, four hundred fourteen million, five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 18809099 37618198 56427297 75236396 94045495 112854594 188090990 206900089 225709188 282136485 376181980 413800178 564272970 620700267 827600356 1034500445 1128545940 1241400534 2069000890 2482801068 3103501335 4138001780 6207002670 12414005340