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11444333344411 = 1117412715508023
BaseRepresentation
bin1010011010001001011101…
…1011000111011010011011
31111112001211021020021211011
42212202113123013122123
53000000443314010121
640201242033114351
72260553151246322
oct246422733073233
944461737207734
1011444333344411
113712572902120
121349ba40b89b7
1365027180a466
142b7ca162d0b9
1514ca602087e1
hexa68976c769b

11444333344411 has 32 divisors (see below), whose sum is σ = 13591511894016. Its totient is φ = 9517862016000.

The previous prime is 11444333344331. The next prime is 11444333344417.

11444333344411 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-11444333344411 is a prime.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11444333344417) 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, 676255 + ... + 4831768.

It is an arithmetic number, because the mean of its divisors is an integer number (424734746688).

Almost surely, 211444333344411 is an apocalyptic number.

11444333344411 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11444333344411 is a deficient number, since it is larger than the sum of its proper divisors (2147178549605).

11444333344411 is a wasteful number, since it uses less digits than its factorization.

11444333344411 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5508363.

The product of its digits is 331776, while the sum is 40.

It can be divided in two parts, 1144433 and 3344411, that added together give a palindrome (4488844).

The spelling of 11444333344411 in words is "eleven trillion, four hundred forty-four billion, three hundred thirty-three million, three hundred forty-four thousand, four hundred eleven".

Divisors: 1 11 17 41 187 271 451 697 2981 4607 7667 11111 50677 122221 188887 2077757 5508023 60588253 93636391 225828943 1030000301 1492674233 2484118373 3839092031 16419416563 25375461961 42230012341 61199643553 279130081571 673196079083 1040393940401 11444333344411