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13400113437 = 3253157178933
BaseRepresentation
bin11000111101011010…
…11000000100011101
31021120212200021220200
430132231120010131
5204420412112222
610053402534113
7653032041054
oct143655300435
937525607820
1013400113437
115757018617
12271b807339
131357252b09
1491195d39b
15536638eac
hex31eb5811d

13400113437 has 24 divisors (see below), whose sum is σ = 19846643544. Its totient is φ = 8708978304.

The previous prime is 13400113429. The next prime is 13400113457. The reversal of 13400113437 is 73431100431.

13400113437 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6740574201 + 6659539236 = 82101^2 + 81606^2 .

It is not a de Polignac number, because 13400113437 - 23 = 13400113429 is a prime.

It is a super-3 number, since 3×134001134373 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13400113437.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13400113427) 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, 14578 + ... + 164355.

It is an arithmetic number, because the mean of its divisors is an integer number (826943481).

Almost surely, 213400113437 is an apocalyptic number.

It is an amenable number.

13400113437 is a deficient number, since it is larger than the sum of its proper divisors (6446530107).

13400113437 is a wasteful number, since it uses less digits than its factorization.

13400113437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179149 (or 179146 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 13400113437 its reverse (73431100431), we get a palindrome (86831213868).

The spelling of 13400113437 in words is "thirteen billion, four hundred million, one hundred thirteen thousand, four hundred thirty-seven".

Divisors: 1 3 9 53 157 159 471 477 1413 8321 24963 74889 178933 536799 1610397 9483449 28092481 28450347 84277443 85351041 252832329 1488901493 4466704479 13400113437