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11414333341411 = 7111361311859881
BaseRepresentation
bin1010011000011001101101…
…0010001011111011100011
31111102012101111221020022221
42212012123102023323203
52444003023313411121
640135401121011511
72255441551365610
oct246063322137343
944365344836287
1011414333341411
113700878666910
121344211183b97
1364a4a0443bb0
142b66571c3507
1514bda65cdb41
hexa619b48bee3

11414333341411 has 32 divisors (see below), whose sum is σ = 15328046393856. Its totient is φ = 8208766368000.

The previous prime is 11414333341399. The next prime is 11414333341427.

11414333341411 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11414333341411 - 27 = 11414333341283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11414333344411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5207191 + ... + 7067071.

It is an arithmetic number, because the mean of its divisors is an integer number (479001449808).

Almost surely, 211414333341411 is an apocalyptic number.

11414333341411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11414333341411 is a deficient number, since it is larger than the sum of its proper divisors (3913713052445).

11414333341411 is a wasteful number, since it uses less digits than its factorization.

11414333341411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866043.

The product of its digits is 20736, while the sum is 34.

It can be divided in two parts, 1141433 and 3341411, that added together give a palindrome (4482844).

The spelling of 11414333341411 in words is "eleven trillion, four hundred fourteen billion, three hundred thirty-three million, three hundred forty-one thousand, four hundred eleven".

Divisors: 1 7 11 13 77 91 143 1001 6131 42917 67441 79703 472087 557921 876733 1859881 6137131 13019167 20458691 24178453 143210837 169249171 265962983 1861740881 11402930411 79820512877 125432234521 148238095343 878025641647 1037666667401 1630619048773 11414333341411