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14411000011441 = 113122761749363
BaseRepresentation
bin1101000110110101001010…
…0010010101101010110001
31220000200022100221210200111
43101231102202111222301
53342102212000331231
650352153315421321
73015106004662555
oct321552242255261
956020270853614
1014411000011441
1146567418a3430
121748b468b4841
13806c4a4c1ba7
1437b6d3505865
1519ece33894b1
hexd1b52895ab1

14411000011441 has 24 divisors (see below), whose sum is σ = 16245499288032. Its totient is φ = 12677583225600.

The previous prime is 14411000011439. The next prime is 14411000011553.

It is a happy number.

14411000011441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14411000011441 - 21 = 14411000011439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14411000011241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291914626 + ... + 291963988.

It is an arithmetic number, because the mean of its divisors is an integer number (676895803668).

Almost surely, 214411000011441 is an apocalyptic number.

14411000011441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14411000011441 is a deficient number, since it is larger than the sum of its proper divisors (1834499276591).

14411000011441 is a wasteful number, since it uses less digits than its factorization.

14411000011441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77053 (or 77022 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

It can be divided in two parts, 144110000 and 11441, that added together give a palindrome (144121441).

The spelling of 14411000011441 in words is "fourteen trillion, four hundred eleven billion, eleven thousand, four hundred forty-one".

Divisors: 1 11 31 341 961 10571 27617 49363 303787 542993 856127 1530253 9417397 16832783 26539937 47437843 291939307 521816273 1363257971 14995837681 42260997101 464870968111 1310090910131 14411000011441