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14022014040 = 2332546638353
BaseRepresentation
bin11010000111100011…
…01111010001011000
31100012012220010011100
431003301233101120
5212204113422130
610235220231400
71004323103256
oct150361572130
940165803140
1014022014040
115a46074761
122873b3b560
131426048c38
149703a75d6
15571030c60
hex343c6f458

14022014040 has 96 divisors (see below), whose sum is σ = 45586775520. Its totient is φ = 3737954304.

The previous prime is 14022014033. The next prime is 14022014047. The reversal of 14022014040 is 4041022041.

14022014040 is a `hidden beast` number, since 1 + 40 + 220 + 1 + 404 + 0 = 666.

14022014040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14022014033) and next prime (14022014047).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14022014047) 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 23 ways as a sum of consecutive naturals, for example, 1674504 + ... + 1682856.

It is an arithmetic number, because the mean of its divisors is an integer number (474862245).

Almost surely, 214022014040 is an apocalyptic number.

14022014040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14022014040 is an abundant number, since it is smaller than the sum of its proper divisors (31564761480).

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

14022014040 is a wasteful number, since it uses less digits than its factorization.

14022014040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13033 (or 13026 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14022014040 its reverse (4041022041), we get a palindrome (18063036081).

The spelling of 14022014040 in words is "fourteen billion, twenty-two million, fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4663 8353 9326 13989 16706 18652 23315 25059 27978 33412 37304 41765 41967 46630 50118 55956 66824 69945 75177 83530 83934 93260 100236 111912 125295 139890 150354 167060 167868 186520 200472 209835 250590 279780 300708 334120 335736 375885 419670 501180 559560 601416 751770 839340 1002360 1503540 1678680 3007080 38950039 77900078 116850117 155800156 194750195 233700234 311600312 350550351 389500390 467400468 584250585 701100702 779000780 934800936 1168501170 1402201404 1558001560 1752751755 2337002340 2804402808 3505503510 4674004680 7011007020 14022014040