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144012220011 = 321141272913001
BaseRepresentation
bin1000011000011111001…
…1000001011001101011
3111202201110101202220100
42012013303001121223
54324414112020021
6150054105400443
713255520446512
oct2060763013153
9452643352810
10144012220011
1156091164450
1223ab1499123
1310770ba188a
146d82443679
153b2d0ac626
hex2187cc166b

144012220011 has 48 divisors (see below), whose sum is σ = 232566253920. Its totient is φ = 85113600000.

The previous prime is 144012219997. The next prime is 144012220019. The reversal of 144012220011 is 110022210441.

144012220011 is a `hidden beast` number, since 1 + 440 + 1 + 2 + 220 + 0 + 1 + 1 = 666.

It is not a de Polignac number, because 144012220011 - 217 = 144012088939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144012220019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11070511 + ... + 11083511.

It is an arithmetic number, because the mean of its divisors is an integer number (4845130290).

Almost surely, 2144012220011 is an apocalyptic number.

144012220011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

144012220011 is a deficient number, since it is larger than the sum of its proper divisors (88554033909).

144012220011 is a wasteful number, since it uses less digits than its factorization.

144012220011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15788 (or 15785 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 144012220011 its reverse (110022210441), we get a palindrome (254034430452).

The spelling of 144012220011 in words is "one hundred forty-four billion, twelve million, two hundred twenty thousand, eleven".

Divisors: 1 3 9 11 33 41 99 123 369 451 1353 2729 4059 8187 13001 24561 30019 39003 90057 111889 117009 143011 270171 335667 429033 533041 1007001 1230779 1287099 1599123 3692337 4797369 5863451 11077011 17590353 35479729 52771059 106439187 319317561 390277019 1170831057 1454668889 3512493171 4364006667 13092020001 16001357779 48004073337 144012220011