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4404420404240 = 24597567579949
BaseRepresentation
bin100000000010111101111…
…1010011110010000010000
3120121001120122000212120112
41000011323322132100100
51034130223110413430
613211210210500452
7633131433504053
oct100057372362020
916531518025515
104404420404240
1114489a454a10a
125b1733594728
1325c44819218c
1411326460ca9a
15798809bd195
hex4017be9e410

4404420404240 has 40 divisors (see below), whose sum is σ = 10345847328600. Its totient is φ = 1743605600256.

The previous prime is 4404420404239. The next prime is 4404420404299. The reversal of 4404420404240 is 424040244044.

It can be written as a sum of positive squares in 4 ways, for example, as 185964487696 + 4218455916544 = 431236^2 + 2053888^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 4404420404197 and 4404420404206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283782215 + ... + 283797734.

It is an arithmetic number, because the mean of its divisors is an integer number (258646183215).

Almost surely, 24404420404240 is an apocalyptic number.

4404420404240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404420404240 is an abundant number, since it is smaller than the sum of its proper divisors (5941426924360).

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

4404420404240 is a wasteful number, since it uses less digits than its factorization.

4404420404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567580059 (or 567580053 counting only the distinct ones).

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

Adding to 4404420404240 its reverse (424040244044), we get a palindrome (4828460648284).

The spelling of 4404420404240 in words is "four trillion, four hundred four billion, four hundred twenty million, four hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7760 567579949 1135159898 2270319796 2837899745 4540639592 5675799490 9081279184 11351598980 22703197960 45406395920 55055255053 110110510106 220221020212 275276275265 440442040424 550552550530 880884080848 1101105101060 2202210202120 4404420404240