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11144424041041 = 1931349254921269
BaseRepresentation
bin1010001000101100001101…
…1011111010101001010001
31110110101201001222010110111
42202023003123322221101
52430042240023303131
635411402220001321
72230105134240424
oct242130333725121
943411631863414
1011144424041041
113607361922615
1212bba45090241
1362abb77158c5
142a75705799bb
15144d5a9b2ab1
hexa22c36faa51

11144424041041 has 32 divisors (see below), whose sum is σ = 12149424000000. Its totient is φ = 10183547162880.

The previous prime is 11144424041021. The next prime is 11144424041059. The reversal of 11144424041041 is 14014042444111.

It is a cyclic number.

It is not a de Polignac number, because 11144424041041 - 215 = 11144424008273 is a prime.

It is a super-2 number, since 2×111444240410412 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11144424040994 and 11144424041012.

It is not an unprimeable number, because it can be changed into a prime (11144424041021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 523964355 + ... + 523985623.

It is an arithmetic number, because the mean of its divisors is an integer number (379669500000).

Almost surely, 211144424041041 is an apocalyptic number.

It is an amenable number.

11144424041041 is a deficient number, since it is larger than the sum of its proper divisors (1004999958959).

11144424041041 is a wasteful number, since it uses less digits than its factorization.

11144424041041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24217.

The product of its (nonzero) digits is 8192, while the sum is 31.

Adding to 11144424041041 its reverse (14014042444111), we get a palindrome (25158466485152).

The spelling of 11144424041041 in words is "eleven trillion, one hundred forty-four billion, four hundred twenty-four million, forty-one thousand, forty-one".

Divisors: 1 19 31 349 589 2549 6631 10819 21269 48431 79019 205561 404111 659339 889601 1501361 7422881 12527441 16902419 27577631 54214681 141034739 230109311 523974989 1030078939 1680655111 4372076909 18920923669 31932447109 359497549711 586548633739 11144424041041