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44213255231244 = 223112131232441987
BaseRepresentation
bin10100000110110001100110…
…10111110101011100001100
312210112202010202221220122120
422003120303113311130030
521243342221314344434
6234011142234012540
712212205452441661
oct1203306327653414
9183482122856576
1044213255231244
11130a6810a39300
124b609a9877150
131b893a4908858
14acbd0c103a68
1551a14cbb7349
hex2836335f570c

44213255231244 has 72 divisors (see below), whose sum is σ = 114261043157184. Its totient is φ = 13295681599200.

The previous prime is 44213255231239. The next prime is 44213255231269.

44213255231244 is nontrivially palindromic in base 10.

44213255231244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 44213255231196 and 44213255231205.

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 23 ways as a sum of consecutive naturals, for example, 116030782 + ... + 116411205.

Almost surely, 244213255231244 is an apocalyptic number.

44213255231244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44213255231244 is an abundant number, since it is smaller than the sum of its proper divisors (70047787925940).

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

44213255231244 is a wasteful number, since it uses less digits than its factorization.

44213255231244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232442147 (or 232442134 counting only the distinct ones).

The product of its digits is 921600, while the sum is 42.

It can be divided in two parts, 4421325 and 5231244, that added together give a palindrome (9652569).

The spelling of 44213255231244 in words is "forty-four trillion, two hundred thirteen billion, two hundred fifty-five million, two hundred thirty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 131 132 242 262 363 393 484 524 726 786 1441 1452 1572 2882 4323 5764 8646 15851 17292 31702 47553 63404 95106 190212 232441987 464883974 697325961 929767948 1394651922 2556861857 2789303844 5113723714 7670585571 10227447428 15341171142 28125480427 30449900297 30682342284 56250960854 60899800594 84376441281 91349700891 112501921708 121799601188 168752882562 182699401782 334948903267 337505765124 365398803564 669897806534 1004846709801 1339795613068 2009693419602 3684437935937 4019386839204 7368875871874 11053313807811 14737751743748 22106627615622 44213255231244