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4144311114411 = 31323101103444121
BaseRepresentation
bin111100010011101100001…
…100010001101010101011
3112200012012011111212212110
4330103230030101222223
51020400022121130121
612451511550013403
7605262615146106
oct74235414215253
915605164455773
104144311114411
111358657644886
1256b2414a7263
13240a6489bab0
1410482b34973d
1572c0a408d76
hex3c4ec311aab

4144311114411 has 64 divisors (see below), whose sum is σ = 6331914860544. Its totient is φ = 2391852672000.

The previous prime is 4144311114407. The next prime is 4144311114421. The reversal of 4144311114411 is 1144111134414.

4144311114411 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4144311114411 - 22 = 4144311114407 is a prime.

It is a super-2 number, since 2×41443111144112 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4144311114421) 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, 9109431 + ... + 9553551.

It is an arithmetic number, because the mean of its divisors is an integer number (98936169696).

Almost surely, 24144311114411 is an apocalyptic number.

4144311114411 is a deficient number, since it is larger than the sum of its proper divisors (2187603746133).

4144311114411 is a wasteful number, since it uses less digits than its factorization.

4144311114411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444364.

The product of its digits is 3072, while the sum is 30.

Adding to 4144311114411 its reverse (1144111134414), we get a palindrome (5288422248825).

The spelling of 4144311114411 in words is "four trillion, one hundred forty-four billion, three hundred eleven million, one hundred fourteen thousand, four hundred eleven".

Divisors: 1 3 13 23 39 69 101 103 299 303 309 897 1313 1339 2323 2369 3939 4017 6969 7107 10403 30199 30797 31209 90597 92391 135239 239269 405717 444121 717807 1332363 3110497 5773573 9331491 10214783 17320719 30644349 44856221 45744463 132792179 134568663 137233389 398376537 583130873 594678019 1031693083 1052122649 1749392619 1784034057 3095079249 3156367947 4620190763 13412010079 13677594437 13860572289 40236030237 41032783311 60062479919 106264387549 180187439757 318793162647 1381437038137 4144311114411