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14168004040 = 2352691316729
BaseRepresentation
bin11010011000111101…
…01001010111001000
31100120101121011210101
431030132221113020
5213004002112130
610301513255144
71011045022141
oct151436512710
940511534711
1014168004040
116010518153
1228b4a044b4
13144a372858
1498592aac8
1557dc6c1ca
hex34c7a95c8

14168004040 has 32 divisors (see below), whose sum is σ = 31996539000. Its totient is φ = 5646129664.

The previous prime is 14168004007. The next prime is 14168004041. The reversal of 14168004040 is 4040086141.

14168004040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3694937796 + 10473066244 = 60786^2 + 102338^2 .

It is not an unprimeable number, because it can be changed into a prime (14168004041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 647605 + ... + 669124.

Almost surely, 214168004040 is an apocalyptic number.

14168004040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14168004040 is an abundant number, since it is smaller than the sum of its proper divisors (17828534960).

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

14168004040 is a wasteful number, since it uses less digits than its factorization.

14168004040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317009 (or 1317005 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The spelling of 14168004040 in words is "fourteen billion, one hundred sixty-eight million, four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 269 538 1076 1345 2152 2690 5380 10760 1316729 2633458 5266916 6583645 10533832 13167290 26334580 52669160 354200101 708400202 1416800404 1771000505 2833600808 3542001010 7084002020 14168004040