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14144053105011 = 33115115716273943
BaseRepresentation
bin1100110111010010101101…
…0000101101000101110011
31212002011021101020220100010
43031310223100231011303
53323214010043330021
650025404401030003
72656605551502414
oct315645320550563
955064241226303
1014144053105011
114563506274595
121705266925303
137b7a1743c11b
1436c80c0b580b
15197dbc884976
hexcdd2b42d173

14144053105011 has 64 divisors (see below), whose sum is σ = 19737945767936. Its totient is φ = 8999207568000.

The previous prime is 14144053104983. The next prime is 14144053105051. The reversal of 14144053105011 is 11050135044141.

It is not a de Polignac number, because 14144053105011 - 26 = 14144053104947 is a prime.

It is a super-3 number, since 3×141440531050113 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 14144053105011.

It is not an unprimeable number, because it can be changed into a prime (14144053105051) 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 63 ways as a sum of consecutive naturals, for example, 3587127906 + ... + 3587131848.

It is an arithmetic number, because the mean of its divisors is an integer number (308405402624).

Almost surely, 214144053105011 is an apocalyptic number.

14144053105011 is a deficient number, since it is larger than the sum of its proper divisors (5593892662925).

14144053105011 is a wasteful number, since it uses less digits than its factorization.

14144053105011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912.

The product of its (nonzero) digits is 4800, while the sum is 30.

Adding to 14144053105011 its reverse (11050135044141), we get a palindrome (25194188149152).

The spelling of 14144053105011 in words is "fourteen trillion, one hundred forty-four billion, fifty-three million, one hundred five thousand, eleven".

Divisors: 1 3 31 93 151 157 453 471 1627 3943 4681 4867 4881 11829 14043 14601 23707 50437 71121 122233 151311 245677 255439 366699 595393 619051 734917 737031 766317 1786179 1857153 2204751 6415261 7615987 7918609 18457183 19190581 19245783 22847961 23755827 38571289 55371549 57571743 93476701 115713867 198873091 280430103 596619273 968704411 1007195977 1195709959 2897777731 2906113233 3021587931 3587129877 8693333193 30029836741 31223075287 90089510223 93669225861 152086592527 456259777581 4714684368337 14144053105011