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11344332001041 = 3313206391565969
BaseRepresentation
bin1010010100010100111011…
…1000010000111100010001
31111011111201000001200211000
42211011032320100330101
52441331142443013131
640043303021212213
72250413056664304
oct245051670207421
944144630050730
1011344332001041
1136841167397a6
121332735a01069
136439c594a430
142b30d633cb3b
1514a15ad05ce6
hexa514ee10f11

11344332001041 has 32 divisors (see below), whose sum is σ = 18100107648000. Its totient is φ = 6980784678144.

The previous prime is 11344332001033. The next prime is 11344332001063. The reversal of 11344332001041 is 14010023344311.

11344332001041 is a `hidden beast` number, since 1 + 1 + 3 + 443 + 3 + 200 + 10 + 4 + 1 = 666.

It is not a de Polignac number, because 11344332001041 - 23 = 11344332001033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11344332000996 and 11344332001014.

It is not an unprimeable number, because it can be changed into a prime (11344332071041) 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 31 ways as a sum of consecutive naturals, for example, 6461305 + ... + 8027273.

It is an arithmetic number, because the mean of its divisors is an integer number (565628364000).

Almost surely, 211344332001041 is an apocalyptic number.

It is an amenable number.

11344332001041 is a deficient number, since it is larger than the sum of its proper divisors (6755775646959).

11344332001041 is a wasteful number, since it uses less digits than its factorization.

11344332001041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586630 (or 1586624 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 11344332001041 its reverse (14010023344311), we get a palindrome (25354355345352).

The spelling of 11344332001041 in words is "eleven trillion, three hundred forty-four billion, three hundred thirty-two million, one thousand, forty-one".

Divisors: 1 3 9 13 27 39 117 351 20639 61917 185751 268307 557253 804921 1565969 2414763 4697907 7244289 14093721 20357597 42281163 61072791 183218373 549655119 32320034191 96960102573 290880307719 420160444483 872640923157 1260481333449 3781444000347 11344332001041