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14234123340 = 22325411928743
BaseRepresentation
bin11010100000110101…
…10111110001001100
31100202000000101102100
431100122313301030
5213122413421330
610312234355100
71012510023603
oct152032676114
940660011370
1014234123340
1160448785a8
122912b8ba90
13145ac82bb8
1499061ca3a
1558497d060
hex3506b7c4c

14234123340 has 72 divisors (see below), whose sum is σ = 44229957408. Its totient is φ = 3703184640.

The previous prime is 14234123333. The next prime is 14234123347. The reversal of 14234123340 is 4332143241.

14234123340 is a `hidden beast` number, since 1 + 423 + 4 + 1 + 233 + 4 + 0 = 666.

14234123340 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 (14234123333) and next prime (14234123347).

It is a super-2 number, since 2×142341233402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14234123347) 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, 956992 + ... + 971751.

It is an arithmetic number, because the mean of its divisors is an integer number (614304964).

Almost surely, 214234123340 is an apocalyptic number.

14234123340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14234123340 is an abundant number, since it is smaller than the sum of its proper divisors (29995834068).

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

14234123340 is a wasteful number, since it uses less digits than its factorization.

14234123340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928799 (or 1928794 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14234123340 its reverse (4332143241), we get a palindrome (18566266581).

The spelling of 14234123340 in words is "fourteen billion, two hundred thirty-four million, one hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 1928743 3857486 5786229 7714972 9643715 11572458 17358687 19287430 23144916 28931145 34717374 38574860 57862290 69434748 79078463 86793435 115724580 158156926 173586870 237235389 316313852 347173740 395392315 474470778 711706167 790784630 948941556 1186176945 1423412334 1581569260 2372353890 2846824668 3558530835 4744707780 7117061670 14234123340