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44340222204344 = 23111259400211407
BaseRepresentation
bin10100001010011110000110…
…01100011001100110111000
312210222212212022201102112202
422011033003030121212320
521302432233341014334
6234145341124525332
712224322020060213
oct1205170314314670
9183885768642482
1044340222204344
111314564553a430
124b81522850848
131b9835a3041c1
14ad411484a77a
1551d5ce61117e
hex2853c33199b8

44340222204344 has 32 divisors (see below), whose sum is σ = 90767947334400. Its totient is φ = 20138637949920.

The previous prime is 44340222204331. The next prime is 44340222204379.

It is a happy number.

44340222204344 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44340222204298 and 44340222204307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199994912 + ... + 200216495.

It is an arithmetic number, because the mean of its divisors is an integer number (2836498354200).

Almost surely, 244340222204344 is an apocalyptic number.

44340222204344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44340222204344 is an abundant number, since it is smaller than the sum of its proper divisors (46427725130056).

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

44340222204344 is a wasteful number, since it uses less digits than its factorization.

44340222204344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400212683 (or 400212679 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 38.

It can be divided in two parts, 4434022 and 2204344, that added together give a palindrome (6638366).

The spelling of 44340222204344 in words is "forty-four trillion, three hundred forty billion, two hundred twenty-two million, two hundred four thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 1259 2518 5036 10072 13849 27698 55396 110792 400211407 800422814 1600845628 3201691256 4402325477 8804650954 17609301908 35218603816 503866161413 1007732322826 2015464645652 4030929291304 5542527775543 11085055551086 22170111102172 44340222204344