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44344111144344 = 233111311282214641
BaseRepresentation
bin10100001010100101010101…
…11111100001110110011000
312211000020220100110001022120
422011102222333201312120
521303013214423104334
6234151223050221240
712224520261365544
oct1205225277416630
9184006810401276
1044344111144344
1113147260768630
124b82229124820
131b98829c0bc2b
14ad43a3130a24
1551d75ac49949
hex2854aafe1d98

44344111144344 has 64 divisors (see below), whose sum is σ = 121861679575680. Its totient is φ = 13335032256000.

The previous prime is 44344111144297. The next prime is 44344111144357.

44344111144344 is nontrivially palindromic in base 10.

44344111144344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44344111144296 and 44344111144305.

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, 641072737 + ... + 641141904.

It is an arithmetic number, because the mean of its divisors is an integer number (1904088743370).

Almost surely, 244344111144344 is an apocalyptic number.

44344111144344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44344111144344 is an abundant number, since it is smaller than the sum of its proper divisors (77517568431336).

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

44344111144344 is a wasteful number, since it uses less digits than its factorization.

44344111144344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282214792 (or 1282214788 counting only the distinct ones).

The product of its digits is 589824, while the sum is 42.

It can be divided in two parts, 4434411 and 1144344, that added together give a palindrome (5578755).

The spelling of 44344111144344 in words is "forty-four trillion, three hundred forty-four billion, one hundred eleven million, one hundred forty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 131 132 262 264 393 524 786 1048 1441 1572 2882 3144 4323 5764 8646 11528 17292 34584 1282214641 2564429282 3846643923 5128858564 7693287846 10257717128 14104361051 15386575692 28208722102 30773151384 42313083153 56417444204 84626166306 112834888408 167970117971 169252332612 335940235942 338504665224 503910353913 671880471884 1007820707826 1343760943768 1847671297681 2015641415652 3695342595362 4031282831304 5543013893043 7390685190724 11086027786086 14781370381448 22172055572172 44344111144344