Search a number
-
+
544220505441 = 3273163231177
BaseRepresentation
bin1111110101101100001…
…00011110010101100001
31221000201122220010210100
413322312010132111201
532404030422133231
61054002250053013
754214201653624
oct7726604362541
91830648803710
10544220505441
1119a891318768
128958241a169
133c420708522
141c4aa143dbb
15e252dea1e6
hex7eb611e561

544220505441 has 36 divisors (see below), whose sum is σ = 801809177988. Its totient is φ = 355636852992.

The previous prime is 544220505373. The next prime is 544220505457. The reversal of 544220505441 is 144505022445.

544220505441 is a `hidden beast` number, since 5 + 4 + 4 + 2 + 205 + 0 + 5 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 365304195216 + 178916310225 = 604404^2 + 422985^2 .

It is not a de Polignac number, because 544220505441 - 218 = 544220243297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 544220505396 and 544220505405.

It is not an unprimeable number, because it can be changed into a prime (544220505041) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17440245 + ... + 17471421.

Almost surely, 2544220505441 is an apocalyptic number.

It is an amenable number.

544220505441 is a deficient number, since it is larger than the sum of its proper divisors (257588672547).

544220505441 is a wasteful number, since it uses less digits than its factorization.

544220505441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31582 (or 31416 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 544220505441 its reverse (144505022445), we get a palindrome (688725527886).

The spelling of 544220505441 in words is "five hundred forty-four billion, two hundred twenty million, five hundred five thousand, four hundred forty-one".

Divisors: 1 3 9 73 163 219 489 657 1467 11899 26569 31177 35697 79707 93531 107091 239121 280593 1939537 2275921 5081851 5818611 6827763 15245553 17455833 20483289 45736659 370975123 828341713 1112925369 2485025139 3338776107 7455075417 60468945049 181406835147 544220505441