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144035030331 = 34173122315131
BaseRepresentation
bin1000011000100100101…
…0000010010100111011
3111202210001022122210000
42012021022002110323
54324440431432311
6150100242324043
713256215362063
oct2061112022473
9452701278700
10144035030331
11560a3024155
1223ab9059623
131077582a1ca
146d854a03a3
153b300b6056
hex218928253b

144035030331 has 80 divisors (see below), whose sum is σ = 236239331328. Its totient is φ = 87061651200.

The previous prime is 144035030261. The next prime is 144035030333. The reversal of 144035030331 is 133030530441.

144035030331 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 350 + 303 + 3 + 1 = 666.

It is not a de Polignac number, because 144035030331 - 27 = 144035030203 is a prime.

It is a super-2 number, since 2×1440350303312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 144035030295 and 144035030304.

It is not an unprimeable number, because it can be changed into a prime (144035030333) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9511636 + ... + 9526766.

Almost surely, 2144035030331 is an apocalyptic number.

144035030331 is a deficient number, since it is larger than the sum of its proper divisors (92204300997).

144035030331 is a wasteful number, since it uses less digits than its factorization.

144035030331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15414 (or 15405 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 144035030331 its reverse (133030530441), we get a palindrome (277065560772).

The spelling of 144035030331 in words is "one hundred forty-four billion, thirty-five million, thirty thousand, three hundred thirty-one".

Divisors: 1 3 9 17 27 31 51 81 93 153 223 279 459 527 669 837 1377 1581 2007 2511 3791 4743 6021 6913 11373 14229 15131 18063 20739 34119 42687 45393 62217 102357 117521 136179 186651 257227 307071 352563 408537 469061 559953 771681 1057689 1225611 1407183 2315043 3173067 3374213 4221549 6945129 7974037 9519201 10122639 12664647 20835387 23922111 30367917 37993941 57361621 71766333 91103751 104600603 172084863 215298999 273311253 313801809 516254589 645896997 941405427 1548763767 1778210251 2824216281 4646291301 5334630753 8472648843 16003892259 48011676777 144035030331