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14130034452 = 22322397717467
BaseRepresentation
bin11010010100011011…
…10011011100010100
31100110202011010022100
431022031303130110
5212414242100302
610254035402100
71010104211502
oct151215633424
940422133270
1014130034452
115aa1044026
1228a4153330
13144253a241
14980885672
1557a76bd1c
hex34a373714

14130034452 has 72 divisors (see below), whose sum is σ = 37310809536. Its totient is φ = 4500359424.

The previous prime is 14130034447. The next prime is 14130034459. The reversal of 14130034452 is 25443003141.

It is a happy number.

14130034452 is a `hidden beast` number, since 14 + 1 + 300 + 344 + 5 + 2 = 666.

14130034452 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 2×141300344522 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14130034459) 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, 800223 + ... + 817689.

It is an arithmetic number, because the mean of its divisors is an integer number (518205688).

Almost surely, 214130034452 is an apocalyptic number.

14130034452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14130034452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18655404768).

14130034452 is an abundant number, since it is smaller than the sum of its proper divisors (23180775084).

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

14130034452 is a wasteful number, since it uses less digits than its factorization.

14130034452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18477 (or 18472 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 14130034452 its reverse (25443003141), we get a palindrome (39573037593).

The spelling of 14130034452 in words is "fourteen billion, one hundred thirty million, thirty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 977 1954 2931 3908 5862 8793 11724 17467 17586 22471 34934 35172 44942 52401 67413 69868 89884 104802 134826 157203 202239 209604 269652 314406 401741 404478 628812 803482 808956 1205223 1606964 2410446 3615669 4820892 7231338 14462676 17065259 34130518 51195777 68261036 102391554 153587331 204783108 307174662 392500957 614349324 785001914 1177502871 1570003828 2355005742 3532508613 4710011484 7065017226 14130034452