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4000444404044 = 2211196186299091
BaseRepresentation
bin111010001101101101000…
…100010101000101001100
3112011102211211220202200012
4322031231010111011030
51011020402231412134
612301440115052352
7562010512244534
oct72155504250514
915142754822605
104000444404044
111302640635a40
125473908a10b8
13230317bb62ca
14db8a03824c4
156e0d9ee06ce
hex3a36d11514c

4000444404044 has 96 divisors (see below), whose sum is σ = 8172806073600. Its totient is φ = 1694056032000.

The previous prime is 4000444403959. The next prime is 4000444404059. The reversal of 4000444404044 is 4404044440004.

It is a self number, because there is not a number n which added to its sum of digits gives 4000444404044.

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 31 ways as a sum of consecutive naturals, for example, 440039939 + ... + 440049029.

It is an arithmetic number, because the mean of its divisors is an integer number (85133396600).

Almost surely, 24000444404044 is an apocalyptic number.

4000444404044 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4000444404044 is an abundant number, since it is smaller than the sum of its proper divisors (4172361669556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4000444404044 is a wasteful number, since it uses less digits than its factorization.

4000444404044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17815 (or 17813 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 4000444404044 its reverse (4404044440004), we get a palindrome (8404488844048).

The spelling of 4000444404044 in words is "four trillion, four hundred forty-four million, four hundred four thousand, forty-four".

Divisors: 1 2 4 11 19 22 38 44 61 76 122 209 244 418 671 836 1159 1342 2318 2684 4636 8629 9091 12749 17258 18182 25498 34516 36364 50996 94919 100001 163951 172729 189838 200002 327902 345458 379676 400004 526369 554551 655804 690916 1052738 1109102 1803461 1900019 2105476 2218204 3606922 3800038 5790059 6100061 7213844 7600076 10001011 10536469 11580118 12200122 20002022 21072938 23160236 24400244 40004044 42145876 78446239 110011121 115901159 156892478 220022242 231802318 313784956 440044484 463604636 862908629 1490478541 1725817258 2980957082 3451634516 4785220579 5961914164 9570441158 16395263951 19140882316 32790527902 52637426369 65581055804 90919191001 105274852738 181838382002 210549705476 363676764004 1000111101011 2000222202022 4000444404044