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14042012204430 = 233577429636087
BaseRepresentation
bin1100110001010110100100…
…1001100011110110001110
31211201101212222022001211000
43030111221021203312032
53320031020111020210
645510451130241130
72646334103243430
oct314255111436616
954641788261730
1014042012204430
1145242028a66a1
1216a95295861a6
137ab204b64902
143678cbd90650
151953e93a8ac0
hexcc569263d8e

14042012204430 has 64 divisors (see below), whose sum is σ = 42794703866880. Its totient is φ = 3209602789152.

The previous prime is 14042012204413. The next prime is 14042012204443. The reversal of 14042012204430 is 3440221024041.

14042012204430 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 2 + 0 + 1 + 220 + 4 + 430 = 666.

14042012204430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140420122044302 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14042012204394 and 14042012204403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3714816154 + ... + 3714819933.

It is an arithmetic number, because the mean of its divisors is an integer number (668667247920).

Almost surely, 214042012204430 is an apocalyptic number.

14042012204430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14042012204430 is an abundant number, since it is smaller than the sum of its proper divisors (28752691662450).

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

14042012204430 is a wasteful number, since it uses less digits than its factorization.

14042012204430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7429636110 (or 7429636104 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14042012204430 its reverse (3440221024041), we get a palindrome (17482233228471).

The spelling of 14042012204430 in words is "fourteen trillion, forty-two billion, twelve million, two hundred four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 7429636087 14859272174 22288908261 37148180435 44577816522 52007452609 66866724783 74296360870 104014905218 111444541305 133733449566 156022357827 200600174349 222889082610 260037263045 312044715654 334333623915 401200348698 468067073481 520074526090 668667247830 780111789135 936134146962 1003000871745 1404201220443 1560223578270 2006001743490 2340335367405 2808402440886 4680670734810 7021006102215 14042012204430