Search a number
-
+
144343122131 = 13293780912791
BaseRepresentation
bin1000011001101110000…
…1010100000011010011
3111210120112001100021102
42012123201110003103
54331103314402011
6150151010015015
713266646202645
oct2063341240323
9453515040242
10144343122131
1156240a2507a
1223b8427746b
13107c45cc150
146db437c895
153b4c17273b
hex219b8540d3

144343122131 has 32 divisors (see below), whose sum is σ = 165369859200. Its totient is φ = 125003934720.

The previous prime is 144343122109. The next prime is 144343122167. The reversal of 144343122131 is 131221343441.

It is a cyclic number.

It is not a de Polignac number, because 144343122131 - 218 = 144342859987 is a prime.

It is a super-2 number, since 2×1443431221312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 144343122094 and 144343122103.

It is not an unprimeable number, because it can be changed into a prime (144343122101) 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, 11278346 + ... + 11291136.

It is an arithmetic number, because the mean of its divisors is an integer number (5167808100).

Almost surely, 2144343122131 is an apocalyptic number.

144343122131 is a deficient number, since it is larger than the sum of its proper divisors (21026737069).

144343122131 is a wasteful number, since it uses less digits than its factorization.

144343122131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13679.

The product of its digits is 6912, while the sum is 29.

Adding to 144343122131 its reverse (131221343441), we get a palindrome (275564465572).

The spelling of 144343122131 in words is "one hundred forty-four billion, three hundred forty-three million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 13 29 37 377 481 809 1073 10517 12791 13949 23461 29933 166283 304993 370939 389129 473267 868057 4822207 6152471 10347919 11284741 13724743 134522947 178421659 300089651 382873003 3901165463 4977349039 11103317087 144343122131