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14044068024 = 2337715911677
BaseRepresentation
bin11010001010001011…
…10111100010111000
31100020202101120112120
431011011313202320
5212230240134044
610241325041240
71005011415510
oct150505674270
940222346476
1014044068024
115a57568198
12287b3b6220
13142a79b22c
149732a8840
15572e3a519
hex3451778b8

14044068024 has 64 divisors (see below), whose sum is σ = 40134950400. Its totient is φ = 4011686784.

The previous prime is 14044067993. The next prime is 14044068047. The reversal of 14044068024 is 42086044041.

14044068024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1196874 + ... + 1208550.

It is an arithmetic number, because the mean of its divisors is an integer number (627108600).

Almost surely, 214044068024 is an apocalyptic number.

14044068024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14044068024 is an abundant number, since it is smaller than the sum of its proper divisors (26090882376).

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

14044068024 is a wasteful number, since it uses less digits than its factorization.

14044068024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18852 (or 18848 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 14044068024 in words is "fourteen billion, forty-four million, sixty-eight thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 7159 11677 14318 21477 23354 28636 35031 42954 46708 50113 57272 70062 81739 85908 93416 100226 140124 150339 163478 171816 200452 245217 280248 300678 326956 400904 490434 601356 653912 980868 1202712 1961736 83595643 167191286 250786929 334382572 501573858 585169501 668765144 1003147716 1170339002 1755508503 2006295432 2340678004 3511017006 4681356008 7022034012 14044068024