Search a number
-
+
404143444341 = 3271337101132047
BaseRepresentation
bin1011110000110001101…
…00111001000101110101
31102122011110012011002100
411320120310321011311
523110141210204331
6505354432332313
741125023411450
oct5703064710565
91378143164070
10404143444341
1114643a49046a
12663aa9a4099
132c158ba4a60
14157bc5b6497
15a7a5555ae6
hex5e18d39175

404143444341 has 96 divisors (see below), whose sum is σ = 745207077888. Its totient is φ = 205357939200.

The previous prime is 404143444319. The next prime is 404143444351. The reversal of 404143444341 is 143444341404.

404143444341 is a `hidden beast` number, since 40 + 4 + 143 + 44 + 434 + 1 = 666.

It is not a de Polignac number, because 404143444341 - 219 = 404142920053 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 404143444296 and 404143444305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404143444351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2994580 + ... + 3126626.

It is an arithmetic number, because the mean of its divisors is an integer number (7762573728).

Almost surely, 2404143444341 is an apocalyptic number.

It is an amenable number.

404143444341 is a deficient number, since it is larger than the sum of its proper divisors (341063633547).

404143444341 is a wasteful number, since it uses less digits than its factorization.

404143444341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132211 (or 132208 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 404143444341 its reverse (143444341404), we get a palindrome (547587785745).

The spelling of 404143444341 in words is "four hundred four billion, one hundred forty-three million, four hundred forty-four thousand, three hundred forty-one".

Divisors: 1 3 7 9 13 21 37 39 63 91 101 111 117 259 273 303 333 481 707 777 819 909 1313 1443 2121 2331 3367 3737 3939 4329 6363 9191 10101 11211 11817 26159 27573 30303 33633 48581 78477 82719 132047 145743 235431 340067 396141 437229 924329 1020201 1188423 1716611 2772987 3060603 4885739 5149833 8318961 12016277 13336747 14657217 15449499 34200173 36048831 40010241 43971651 63514607 93357229 102600519 108146493 120030723 173377711 190543821 280071687 307801557 444602249 493459639 520133133 571631463 840215061 1213643977 1333806747 1480378917 1560399399 3454217473 3640931931 4001420241 4441136751 6414975307 10362652419 10922795793 19244925921 31087957257 44904827149 57734777763 134714481447 404143444341