Search a number
-
+
444044420244 = 223271173726299
BaseRepresentation
bin1100111011000110001…
…11000010010010010100
31120110011012220202001200
412131203013002102110
524233400332421434
6535554032552500
744036556203325
oct6354307022224
91513135822050
10444044420244
11161355554207
12720856b2730
1332b47595a79
14176c596844c
15b83d4cc199
hex67631c2494

444044420244 has 36 divisors (see below), whose sum is σ = 1138254717600. Its totient is φ = 145930090320.

The previous prime is 444044420231. The next prime is 444044420251. The reversal of 444044420244 is 442024440444.

444044420244 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 444 + 202 + 4 + 4 = 666.

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 = 444044420199 and 444044420208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86860594 + ... + 86865705.

It is an arithmetic number, because the mean of its divisors is an integer number (31618186600).

Almost surely, 2444044420244 is an apocalyptic number.

It is an amenable number.

444044420244 is an abundant number, since it is smaller than the sum of its proper divisors (694210297356).

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

444044420244 is a wasteful number, since it uses less digits than its factorization.

444044420244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173726380 (or 173726375 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 444044420244 its reverse (442024440444), we get a palindrome (886068860688).

The spelling of 444044420244 in words is "four hundred forty-four billion, forty-four million, four hundred twenty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 426 639 852 1278 2556 173726299 347452598 521178897 694905196 1042357794 1563536691 2084715588 3127073382 6254146764 12334567229 24669134458 37003701687 49338268916 74007403374 111011105061 148014806748 222022210122 444044420244