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2034224421444 = 2232142939542501
BaseRepresentation
bin11101100110100001001…
…110010101101001000100
321012110200121010121010200
4131212201032111221010
5231312042422441234
64154302041050500
7266652656200305
oct35464116255104
97173617117120
102034224421444
11714789721206
1228a2b5786a30
13119a98ba5c17
1470657d8a7ac
1537dac90bd99
hex1d9a1395a44

2034224421444 has 36 divisors (see below), whose sum is σ = 5145665785260. Its totient is φ = 677600280000.

The previous prime is 2034224421409. The next prime is 2034224421451. The reversal of 2034224421444 is 4441244224302.

2034224421444 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 224 + 421 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 392955967044 + 1641268454400 = 626862^2 + 1281120^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2034224421399 and 2034224421408.

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 11 ways as a sum of consecutive naturals, for example, 19719807 + ... + 19822694.

Almost surely, 22034224421444 is an apocalyptic number.

It is an amenable number.

2034224421444 is an abundant number, since it is smaller than the sum of its proper divisors (3111441363816).

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

2034224421444 is a wasteful number, since it uses less digits than its factorization.

2034224421444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39543940 (or 39543935 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 2034224421444 its reverse (4441244224302), we get a palindrome (6475468645746).

The spelling of 2034224421444 in words is "two trillion, thirty-four billion, two hundred twenty-four million, four hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1429 2858 4287 5716 8574 12861 17148 25722 51444 39542501 79085002 118627503 158170004 237255006 355882509 474510012 711765018 1423530036 56506233929 113012467858 169518701787 226024935716 339037403574 508556105361 678074807148 1017112210722 2034224421444