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12134015514 = 2338317315649
BaseRepresentation
bin10110100110011111…
…00110001000011010
31011022122021212002000
423103033212020122
5144322301444024
65324014021430
7606456300345
oct132317461032
934278255060
1012134015514
1151673764a5
1224277a7876
1311b4b57c4a
1483174545c
154b03e3cc9
hex2d33e621a

12134015514 has 64 divisors (see below), whose sum is σ = 27448848000. Its totient is φ = 3972589056.

The previous prime is 12134015459. The next prime is 12134015533. The reversal of 12134015514 is 41551043121.

12134015514 is a `hidden beast` number, since 1 + 2 + 134 + 0 + 15 + 514 = 666.

12134015514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 31 ways as a sum of consecutive naturals, for example, 767562 + ... + 783210.

It is an arithmetic number, because the mean of its divisors is an integer number (428888250).

Almost surely, 212134015514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12134015514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13724424000).

12134015514 is an abundant number, since it is smaller than the sum of its proper divisors (15314832486).

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

12134015514 is a wasteful number, since it uses less digits than its factorization.

12134015514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15916 (or 15910 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 12134015514 its reverse (41551043121), we get a palindrome (53685058635).

The spelling of 12134015514 in words is "twelve billion, one hundred thirty-four million, fifteen thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 83 166 173 249 346 498 519 747 1038 1494 1557 2241 3114 4482 4671 9342 14359 15649 28718 31298 43077 46947 86154 93894 129231 140841 258462 281682 387693 422523 775386 845046 1298867 2597734 2707277 3896601 5414554 7793202 8121831 11689803 16243662 23379606 24365493 35069409 48730986 70138818 73096479 146192958 224703991 449407982 674111973 1348223946 2022335919 4044671838 6067007757 12134015514