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44344122144344 = 2311503910478913
BaseRepresentation
bin10100001010100101010111…
…01001011111011001011000
312211000020221010010220110222
422011102223221133121120
521303013230232104334
6234151224122055212
712224520454031531
oct1205225351373130
9184006833126428
1044344122144344
11131472669a1040
124b8223094a508
131b9882c2909c9
14ad43a4795688
1551d75bbbdd2e
hex2854aba5f658

44344122144344 has 16 divisors (see below), whose sum is σ = 90703886204520. Its totient is φ = 20156419156480.

The previous prime is 44344122144341. The next prime is 44344122144359.

44344122144344 is nontrivially palindromic in base 10.

44344122144344 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 (44).

It is a junction number, because it is equal to n+sod(n) for n = 44344122144295 and 44344122144304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44344122144341) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 251955239369 + ... + 251955239544.

Almost surely, 244344122144344 is an apocalyptic number.

44344122144344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44344122144344 is an abundant number, since it is smaller than the sum of its proper divisors (46359764060176).

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

44344122144344 is a wasteful number, since it uses less digits than its factorization.

44344122144344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503910478930 (or 503910478926 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 44.

It can be divided in two parts, 4434412 and 2144344, that added together give a palindrome (6578756).

The spelling of 44344122144344 in words is "forty-four trillion, three hundred forty-four billion, one hundred twenty-two million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 503910478913 1007820957826 2015641915652 4031283831304 5543015268043 11086030536086 22172061072172 44344122144344