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144330363033441 = 313231096397230761
BaseRepresentation
bin100000110100010010001000…
…000001001101011101100001
3200221000211220011021011220120
4200310102020001031131201
5122404202040414032231
61230544241535230453
742254344641533124
oct4064221001153541
9627024804234816
10144330363033441
1141a9618827a582
1214230236678429
13626c3aa99a4c0
14278d8ac0b83bb
1511a456d58ed96
hex83448804d761

144330363033441 has 64 divisors (see below), whose sum is σ = 218273234403840. Its totient is φ = 84164057303040.

The previous prime is 144330363033431. The next prime is 144330363033469.

144330363033441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 144330363033441 - 27 = 144330363033313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144330363033393 and 144330363033402.

It is not an unprimeable number, because it can be changed into a prime (144330363033431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 625338501 + ... + 625569261.

It is an arithmetic number, because the mean of its divisors is an integer number (3410519287560).

Almost surely, 2144330363033441 is an apocalyptic number.

It is an amenable number.

144330363033441 is a deficient number, since it is larger than the sum of its proper divisors (73942871370399).

144330363033441 is a wasteful number, since it uses less digits than its factorization.

144330363033441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237306.

The product of its (nonzero) digits is 1119744, while the sum is 42.

The spelling of 144330363033441 in words is "one hundred forty-four trillion, three hundred thirty billion, three hundred sixty-three million, thirty-three thousand, four hundred forty-one".

Divisors: 1 3 13 23 39 69 109 299 327 897 1417 2507 4251 6397 7521 19191 32591 83161 97773 147131 230761 249483 441393 692283 697273 1912703 2091819 2999893 5307503 5738109 8999679 9064549 15922509 16037279 25152949 27193647 48111837 68997539 75458847 206992617 208484627 326988337 578517827 625453881 980965011 1476178117 1735553481 4428534351 7520731751 19190315521 22562195253 33952096691 57570946563 101856290073 160903414753 441377256983 482710244259 1324131770949 2091744391789 3700778539319 6275233175367 11102335617957 48110121011147 144330363033441