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144244001241 = 321947169310601
BaseRepresentation
bin1000011001010110011…
…1001100100111011001
3111210022121112110222100
42012111213030213121
54330402431014431
6150133105314013
713264333531524
oct2062547144731
9453277473870
10144244001241
115619aa8408a
1223b57035909
13107a9c05832
146da5139bbb
153b435e34e6
hex21959cc9d9

144244001241 has 48 divisors (see below), whose sum is σ = 224138154240. Its totient is φ = 89102073600.

The previous prime is 144244001219. The next prime is 144244001243. The reversal of 144244001241 is 142100442441.

It is a happy number.

144244001241 is a `hidden beast` number, since 14 + 4 + 2 + 4 + 400 + 1 + 241 = 666.

144244001241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144244001241 - 218 = 144243739097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144244001243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13601341 + ... + 13611941.

It is an arithmetic number, because the mean of its divisors is an integer number (4669544880).

Almost surely, 2144244001241 is an apocalyptic number.

It is an amenable number.

144244001241 is a deficient number, since it is larger than the sum of its proper divisors (79894152999).

144244001241 is a wasteful number, since it uses less digits than its factorization.

144244001241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12366 (or 12363 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 144244001241 its reverse (142100442441), we get a palindrome (286344443682).

The spelling of 144244001241 in words is "one hundred forty-four billion, two hundred forty-four million, one thousand, two hundred forty-one".

Divisors: 1 3 9 19 47 57 141 171 423 893 1693 2679 5079 8037 10601 15237 31803 32167 79571 95409 96501 201419 238713 289503 498247 604257 716139 1494741 1511849 1812771 4484223 4535547 9466693 13606641 17947493 28400079 53842479 85200237 161527437 341002367 843532171 1023007101 2530596513 3069021303 7591789539 16027111249 48081333747 144244001241