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4234414001444 = 22111032295477459
BaseRepresentation
bin111101100111100110101…
…111100000110100100100
3112222210202120222210110122
4331213212233200310210
51023334034441021234
613001132443341112
7614632504100624
oct75474657406444
915883676883418
104234414001444
111392894349480
125847a8821798
132493c3b05973
14108d37b8a884
157523080a92e
hex3d9e6be0d24

4234414001444 has 96 divisors (see below), whose sum is σ = 8214097382400. Its totient is φ = 1894000268160.

The previous prime is 4234414001429. The next prime is 4234414001479. The reversal of 4234414001444 is 4441004144324.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567688187 + ... + 567695645.

It is an arithmetic number, because the mean of its divisors is an integer number (85563514400).

Almost surely, 24234414001444 is an apocalyptic number.

4234414001444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4234414001444 is a deficient number, since it is larger than the sum of its proper divisors (3979683380956).

4234414001444 is a wasteful number, since it uses less digits than its factorization.

4234414001444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8353 (or 8351 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 35.

Adding to 4234414001444 its reverse (4441004144324), we get a palindrome (8675418145768).

The spelling of 4234414001444 in words is "four trillion, two hundred thirty-four billion, four hundred fourteen million, one thousand, four hundred forty-four".

Divisors: 1 2 4 11 22 44 103 206 229 412 458 547 916 1094 1133 2188 2266 2519 4532 5038 6017 7459 10076 12034 14918 23587 24068 29836 47174 56341 82049 94348 112682 125263 164098 225364 250526 259457 328196 501052 518914 619751 768277 1037828 1239502 1377893 1536554 1708111 2479004 2755786 3073108 3416222 4080073 5511572 6832444 8160146 8451047 12902089 16320292 16902094 18789221 25804178 33804188 37578442 44880803 51608356 75156884 89761606 141922979 175935433 179523212 283845958 351870866 420247519 567691916 703741732 840495038 934336717 1680990076 1868673434 1935289763 3737346868 3870579526 4622722709 7741159052 9245445418 10277703887 18490890836 20555407774 41110815548 96236681851 192473363702 384946727404 1058603500361 2117207000722 4234414001444