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12414520434544 = 2429374571582319
BaseRepresentation
bin1011010010100111101100…
…0101001001111101110000
31121221211001021101222100021
42310221323011021331300
53111344414212401134
642223052453333224
72420630250404644
oct264517305117560
947854037358307
1012414520434544
113a56a72159628
121486025937214
136c08b83c8017
1430cc1a40cc24
15167de44a00b4
hexb4a7b149f70

12414520434544 has 80 divisors (see below), whose sum is σ = 25610988470400. Its totient is φ = 5818474432512.

The previous prime is 12414520434527. The next prime is 12414520434587. The reversal of 12414520434544 is 44543402541421.

It is a self number, because there is not a number n which added to its sum of digits gives 12414520434544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7054617 + ... + 8636935.

It is an arithmetic number, because the mean of its divisors is an integer number (320137355880).

Almost surely, 212414520434544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12414520434544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12805494235200).

12414520434544 is an abundant number, since it is smaller than the sum of its proper divisors (13196468035856).

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

12414520434544 is a wasteful number, since it uses less digits than its factorization.

12414520434544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582850 (or 1582844 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 43.

Adding to 12414520434544 its reverse (44543402541421), we get a palindrome (56957922975965).

The spelling of 12414520434544 in words is "twelve trillion, four hundred fourteen billion, five hundred twenty million, four hundred thirty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 29 37 58 74 116 148 232 296 457 464 592 914 1073 1828 2146 3656 4292 7312 8584 13253 16909 17168 26506 33818 53012 67636 106024 135272 212048 270544 490361 980722 1582319 1961444 3164638 3922888 6329276 7845776 12658552 25317104 45887251 58545803 91774502 117091606 183549004 234183212 367098008 468366424 723119783 734196016 936732848 1446239566 1697828287 2892479132 3395656574 5784958264 6791313148 11569916528 13582626296 20970473707 26755431971 27165252592 41940947414 53510863942 83881894828 107021727884 167763789656 214043455768 335527579312 428086911536 775907527159 1551815054318 3103630108636 6207260217272 12414520434544