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4354304442111 = 3313531378212081
BaseRepresentation
bin111111010111010000110…
…001001111111011111111
3120102021012222000012211000
4333113100301033323333
51032320103414121421
613132201223501343
7626405503035231
oct77272061177377
916367188005730
104354304442111
111429717382a98
125a3a878b7853
132577bc3b0410
14110a6c734251
15783ead6e226
hex3f5d0c4feff

4354304442111 has 128 divisors (see below), whose sum is σ = 7141894260480. Its totient is φ = 2605392691200.

The previous prime is 4354304442083. The next prime is 4354304442119. The reversal of 4354304442111 is 1112444034534.

It is a happy number.

4354304442111 is a `hidden beast` number, since 4 + 3 + 5 + 430 + 4 + 4 + 4 + 211 + 1 = 666.

It is not a de Polignac number, because 4354304442111 - 25 = 4354304442079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4354304442119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2092408591 + ... + 2092410671.

It is an arithmetic number, because the mean of its divisors is an integer number (55796048910).

Almost surely, 24354304442111 is an apocalyptic number.

4354304442111 is a deficient number, since it is larger than the sum of its proper divisors (2787589818369).

4354304442111 is a wasteful number, since it uses less digits than its factorization.

4354304442111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 4354304442111 its reverse (1112444034534), we get a palindrome (5466748476645).

The spelling of 4354304442111 in words is "four trillion, three hundred fifty-four billion, three hundred four million, four hundred forty-two thousand, one hundred eleven".

Divisors: 1 3 9 13 27 39 53 117 137 159 351 411 477 689 821 1233 1431 1781 2067 2081 2463 3699 5343 6201 6243 7261 7389 10673 16029 18603 18729 21783 22167 27053 32019 43513 48087 56187 65349 81159 94393 96057 110293 112477 130539 196047 243477 283179 285097 288171 330879 337431 391617 565669 730431 849537 855291 992637 1012293 1174851 1433809 1462201 1697007 1708501 2548611 2565873 2977911 3036879 3706261 4301427 4386603 5091021 5125503 5961281 7697619 11118783 12904281 13159809 15110141 15273063 15376509 17883843 22210513 33356349 38712843 39479427 45330423 46129527 53651529 66631539 77496653 90550553 100069047 135991269 160954587 196431833 199894617 232489959 234064637 271651659 407973807 589295499 599683851 697469877 702193911 814954977 1177157189 1767886497 2092409631 2106581733 2444864931 3042840281 3531471567 5303659491 6319745199 9128520843 10594414701 12405425761 27385562529 31783244103 37216277283 82156687587 111648831849 161270534893 334946495547 483811604679 1451434814037 4354304442111