Search a number
-
+
42220566441 = 3101734133
BaseRepresentation
bin100111010100100010…
…101011011110101001
311000222102110000000000
4213110202223132221
51142431431111231
631221301133213
73023156615304
oct472442533651
9130872400000
1042220566441
11169a6455519
1282236ba209
133c9b1350c1
14208747db3b
1511719176e6
hex9d48ab7a9

42220566441 has 44 divisors (see below), whose sum is σ = 63711976068. Its totient is φ = 27977573664.

The previous prime is 42220566419. The next prime is 42220566473. The reversal of 42220566441 is 14466502224.

42220566441 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 0 + 5 + 6 + 644 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 35192259216 + 7028307225 = 187596^2 + 83835^2 .

It is not a de Polignac number, because 42220566441 - 218 = 42220304297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42220566396 and 42220566405.

It is not an unprimeable number, because it can be changed into a prime (42220566491) by changing a digit.

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 43 ways as a sum of consecutive naturals, for example, 10213411 + ... + 10217543.

Almost surely, 242220566441 is an apocalyptic number.

It is an amenable number.

42220566441 is a deficient number, since it is larger than the sum of its proper divisors (21491409627).

42220566441 is an frugal number, since it uses more digits than its factorization.

42220566441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336 (or 4309 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 42220566441 in words is "forty-two billion, two hundred twenty million, five hundred sixty-six thousand, four hundred forty-one".

Divisors: 1 3 9 27 81 173 243 519 729 1557 2187 4133 4671 6561 12399 14013 19683 37197 42039 59049 111591 126117 334773 378351 715009 1004319 1135053 2145027 3012957 3405159 6435081 9038871 10215477 19305243 27116613 57915729 81349839 173747187 244049517 521241561 1563724683 4691174049 14073522147 42220566441