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11444200240341 = 31119592111466167
BaseRepresentation
bin1010011010001000111101…
…1111010111010011010101
31111112001110222202220100210
42212202033133113103111
53000000210230142331
640201220520200033
72260546644006651
oct246421737272325
944461428686323
1011444200240341
113712504760060
121349b67609019
13650250075b5b
142b7c8baa1a61
1514ca536b5446
hexa688f7d74d5

11444200240341 has 64 divisors (see below), whose sum is σ = 17903670681600. Its totient is φ = 6428844676800.

The previous prime is 11444200240271. The next prime is 11444200240469. The reversal of 11444200240341 is 14304200244411.

It is a happy number.

It is not a de Polignac number, because 11444200240341 - 210 = 11444200239317 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 11444200240299 and 11444200240308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11444200240841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7072440 + ... + 8538606.

It is an arithmetic number, because the mean of its divisors is an integer number (279744854400).

Almost surely, 211444200240341 is an apocalyptic number.

11444200240341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11444200240341 is a deficient number, since it is larger than the sum of its proper divisors (6459470441259).

11444200240341 is a wasteful number, since it uses less digits than its factorization.

11444200240341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466470.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 11444200240341 its reverse (14304200244411), we get a palindrome (25748400484752).

The spelling of 11444200240341 in words is "eleven trillion, four hundred forty-four billion, two hundred million, two hundred forty thousand, three hundred forty-one".

Divisors: 1 3 11 19 33 57 59 177 209 211 627 633 649 1121 1947 2321 3363 4009 6963 12027 12331 12449 36993 37347 44099 132297 136939 236531 410817 709593 1466167 2601841 4398501 7805523 16127837 27857173 48383511 83571519 86503853 259511559 306428903 309361237 919286709 928083711 951542383 1643573207 2854627149 3402973607 4930719621 5877863503 10208920821 17633590509 18079305277 18252312983 54237915831 54756938949 64656498533 193969495599 200775442813 346793946677 602326328439 1040381840031 3814733413447 11444200240341