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44341333314344 = 23114311718111341
BaseRepresentation
bin10100001010100000001010…
…11010111100101100101000
312210222222201202110122220222
422011100011122330230220
521302442022312024334
6234150043255505212
712224361401255033
oct1205200532745450
9183888652418828
1044341333314344
1113146065752860
124b81792988208
131b984a6574a41
14ad41bc23c01a
1551d646e3dd2e
hex2854056bcb28

44341333314344 has 32 divisors (see below), whose sum is σ = 92807441828640. Its totient is φ = 19686427051200.

The previous prime is 44341333314287. The next prime is 44341333314353.

44341333314344 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 44341333314295 and 44341333314304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5859051887 + ... + 5859059454.

It is an arithmetic number, because the mean of its divisors is an integer number (2900232557145).

Almost surely, 244341333314344 is an apocalyptic number.

44341333314344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44341333314344 is an abundant number, since it is smaller than the sum of its proper divisors (48466108514296).

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

44341333314344 is a wasteful number, since it uses less digits than its factorization.

44341333314344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11718111401 (or 11718111397 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 44.

It can be divided in two parts, 4434133 and 3314344, that added together give a palindrome (7748477).

The spelling of 44341333314344 in words is "forty-four trillion, three hundred forty-one billion, three hundred thirty-three million, three hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 43 44 86 88 172 344 473 946 1892 3784 11718111341 23436222682 46872445364 93744890728 128899224751 257798449502 503878787663 515596899004 1007757575326 1031193798008 2015515150652 4031030301304 5542666664293 11085333328586 22170666657172 44341333314344