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11428444482411 = 3113743921320969
BaseRepresentation
bin1010011001001110010001…
…0111111010101101101011
31111110112210221112110200210
42212103210113322231223
52444220423241414121
640150053243432203
72256451336200435
oct246234427725553
944415727473623
1011428444482411
113706859a75a10
121346aaab25663
1364b90ba97578
142b71d534b655
1514c430367876
hexa64e45fab6b

11428444482411 has 32 divisors (see below), whose sum is σ = 17111357683200. Its totient is φ = 6723780468480.

The previous prime is 11428444482401. The next prime is 11428444482449.

It is a happy number.

11428444482411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11428444482411 - 25 = 11428444482379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11428444482401) 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, 10124466 + ... + 11196503.

It is an arithmetic number, because the mean of its divisors is an integer number (534729927600).

Almost surely, 211428444482411 is an apocalyptic number.

11428444482411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11428444482411 is a deficient number, since it is larger than the sum of its proper divisors (5682913200789).

11428444482411 is a wasteful number, since it uses less digits than its factorization.

11428444482411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21321459.

The product of its digits is 1048576, while the sum is 48.

The spelling of 11428444482411 in words is "eleven trillion, four hundred twenty-eight billion, four hundred forty-four million, four hundred eighty-two thousand, four hundred eleven".

Divisors: 1 3 11 33 37 111 407 439 1221 1317 4829 14487 16243 48729 178673 536019 21320969 63962907 234530659 703591977 788875853 2366627559 8677634383 9359905391 26032903149 28079716173 102958959301 308876877903 346316499467 1038949498401 3809481494137 11428444482411