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4444400044444 = 2217412715882353
BaseRepresentation
bin100000010101100101011…
…1000101100100110011100
3120201212202212210000200111
41000223022320230212130
51040304112402410234
613241421301135404
7636045243026623
oct100531270544634
916655685700614
104444400044444
11146394aa61578
125b94306ba564
13263149c66609
141151781da6ba
157a9207d2664
hex40acae2c99c

4444400044444 has 48 divisors (see below), whose sum is σ = 8467201524096. Its totient is φ = 2032940851200.

The previous prime is 4444400044417. The next prime is 4444400044517.

4444400044444 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4444400044397 and 4444400044406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2185629 + ... + 3696724.

It is an arithmetic number, because the mean of its divisors is an integer number (176400031752).

Almost surely, 24444400044444 is an apocalyptic number.

It is an amenable number.

4444400044444 is a deficient number, since it is larger than the sum of its proper divisors (4022801479652).

4444400044444 is a wasteful number, since it uses less digits than its factorization.

4444400044444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882686 (or 5882684 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 40.

It can be divided in two parts, 44444000 and 44444, that added together give a palindrome (44488444).

The spelling of 4444400044444 in words is "four trillion, four hundred forty-four billion, four hundred million, forty-four thousand, four hundred forty-four".

Divisors: 1 2 4 17 34 41 68 82 164 271 542 697 1084 1394 2788 4607 9214 11111 18428 22222 44444 188887 377774 755548 5882353 11764706 23529412 100000001 200000002 241176473 400000004 482352946 964705892 1594117663 3188235326 4100000041 6376470652 8200000082 16400000164 27100000271 54200000542 65358824183 108400001084 130717648366 261435296732 1111100011111 2222200022222 4444400044444