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14005122408 = 2332263739603
BaseRepresentation
bin11010000101100010…
…10011010101101000
31100011001002221012100
431002301103111220
5212140302404113
610233414213400
71004026401444
oct150261232550
940131087170
1014005122408
115a37587832
12286a354260
1314226b35a4
1496c04b824
1556e7e5d73
hex342c53568

14005122408 has 48 divisors (see below), whose sum is σ = 38074813920. Its totient is φ = 4650617376.

The previous prime is 14005122401. The next prime is 14005122409. The reversal of 14005122408 is 80422150041.

14005122408 is a `hidden beast` number, since 1 + 400 + 5 + 12 + 240 + 8 = 666.

It is a super-2 number, since 2×140051224082 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14005122401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 350866 + ... + 388737.

It is an arithmetic number, because the mean of its divisors is an integer number (793225290).

Almost surely, 214005122408 is an apocalyptic number.

14005122408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14005122408 is an abundant number, since it is smaller than the sum of its proper divisors (24069691512).

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

14005122408 is a wasteful number, since it uses less digits than its factorization.

14005122408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739878 (or 739871 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 14005122408 its reverse (80422150041), we get a palindrome (94427272449).

The spelling of 14005122408 in words is "fourteen billion, five million, one hundred twenty-two thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 263 526 789 1052 1578 2104 2367 3156 4734 6312 9468 18936 739603 1479206 2218809 2958412 4437618 5916824 6656427 8875236 13312854 17750472 26625708 53251416 194515589 389031178 583546767 778062356 1167093534 1556124712 1750640301 2334187068 3501280602 4668374136 7002561204 14005122408