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4144422424311 = 321335422413883
BaseRepresentation
bin111100010011110010110…
…100111000111011110111
3112200012110220222000100100
4330103302310320323313
51020400234120034221
612451531003445143
7605265436234551
oct74236264707367
915605426860310
104144422424311
111358704460634
1256b2728267b3
13240a81972440
1410483c0424d1
1572c15094926
hex3c4f2d38ef7

4144422424311 has 12 divisors (see below), whose sum is σ = 6446879326888. Its totient is φ = 2550413799504.

The previous prime is 4144422424253. The next prime is 4144422424313. The reversal of 4144422424311 is 1134242244414.

4144422424311 is a `hidden beast` number, since 4 + 144 + 42 + 2 + 42 + 431 + 1 = 666.

It is not a de Polignac number, because 4144422424311 - 211 = 4144422422263 is a prime.

It is a super-4 number, since 4×41444224243114 (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4144422424313) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17711206825 + ... + 17711207058.

Almost surely, 24144422424311 is an apocalyptic number.

4144422424311 is a deficient number, since it is larger than the sum of its proper divisors (2302456902577).

4144422424311 is a wasteful number, since it uses less digits than its factorization.

4144422424311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35422413902 (or 35422413899 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 4144422424311 its reverse (1134242244414), we get a palindrome (5278664668725).

The spelling of 4144422424311 in words is "four trillion, one hundred forty-four billion, four hundred twenty-two million, four hundred twenty-four thousand, three hundred eleven".

Divisors: 1 3 9 13 39 117 35422413883 106267241649 318801724947 460491380479 1381474141437 4144422424311