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4144230024441 = 3134713782120101
BaseRepresentation
bin111100010011100111010…
…110111100010011111001
3112200011222111221002100020
4330103213112330103321
51020344340341240231
612451455532001053
7605260611663153
oct74234726742371
915604874832306
104144230024441
111358615899781
1256b21a300189
13240a50b49570
1410482067bad3
1572c0323c396
hex3c4e75bc4f9

4144230024441 has 64 divisors (see below), whose sum is σ = 6129420788736. Its totient is φ = 2474673408000.

The previous prime is 4144230024421. The next prime is 4144230024497. The reversal of 4144230024441 is 1444200324414.

4144230024441 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4144230024441 - 211 = 4144230022393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4144230024421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206160291 + ... + 206180391.

It is an arithmetic number, because the mean of its divisors is an integer number (95772199824).

Almost surely, 24144230024441 is an apocalyptic number.

It is an amenable number.

4144230024441 is a deficient number, since it is larger than the sum of its proper divisors (1985190764295).

4144230024441 is a wasteful number, since it uses less digits than its factorization.

4144230024441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21122.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 4144230024441 its reverse (1444200324414), we get a palindrome (5588430348855).

The spelling of 4144230024441 in words is "four trillion, one hundred forty-four billion, two hundred thirty million, twenty-four thousand, four hundred forty-one".

Divisors: 1 3 13 39 47 137 141 411 611 821 1781 1833 2463 5343 6439 10673 19317 20101 32019 38587 60303 83707 112477 115761 251121 261313 337431 501631 783939 944747 1462201 1504893 2753837 2834241 4386603 5286419 8261511 12281711 15859257 16502921 35799881 36845133 49508763 68723447 107399643 129430339 206170341 214537973 388291017 643613919 775637287 1682594407 2260900177 2326911861 5047783221 6782700531 10083284731 29391702301 30249854193 88175106903 106262308319 318786924957 1381410008147 4144230024441