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13235115434440 = 235330877885861
BaseRepresentation
bin1100000010011000101001…
…0110101010000111001000
31201212021010221200002222211
43000212022112222013020
53213321004022400230
644052043400154504
72534130332666314
oct300461226520710
951767127602884
1013235115434440
114242a87695599
121599079468a34
137500b20b7063
1433a823aa0b44
1517e42088e42a
hexc098a5aa1c8

13235115434440 has 16 divisors (see below), whose sum is σ = 29779009727580. Its totient is φ = 5294046173760.

The previous prime is 13235115434413. The next prime is 13235115434449. The reversal of 13235115434440 is 4443451153231.

It can be written as a sum of positive squares in 2 ways, for example, as 13122201961764 + 112913472676 = 3622458^2 + 336026^2 .

It is a super-2 number, since 2×132351154344402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 330877885861 = 13235115434440 / (1 + 3 + 2 + 3 + 5 + 1 + 1 + 5 + 4 + 3 + 4 + 4 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 13235115434393 and 13235115434402.

It is not an unprimeable number, because it can be changed into a prime (13235115434449) 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 3 ways as a sum of consecutive naturals, for example, 165438942891 + ... + 165438942970.

Almost surely, 213235115434440 is an apocalyptic number.

13235115434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13235115434440 is an abundant number, since it is smaller than the sum of its proper divisors (16543894293140).

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

13235115434440 is a wasteful number, since it uses less digits than its factorization.

13235115434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330877885872 (or 330877885868 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 13235115434440 its reverse (4443451153231), we get a palindrome (17678566587671).

The spelling of 13235115434440 in words is "thirteen trillion, two hundred thirty-five billion, one hundred fifteen million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 330877885861 661755771722 1323511543444 1654389429305 2647023086888 3308778858610 6617557717220 13235115434440