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4404313443201 = 37281746367301
BaseRepresentation
bin100000000010111010110…
…0010011100101110000001
3120121001022011202200121120
41000011311202130232001
51034130013220140301
613211151430142453
7633125664400230
oct100056542345601
916531264680546
104404313443201
11144894a133761
125b17037b1a29
1325c42bc82119
14113254328b17
15798763e0e36
hex4017589cb81

4404313443201 has 16 divisors (see below), whose sum is σ = 6735218533248. Its totient is φ = 2507794128000.

The previous prime is 4404313443163. The next prime is 4404313443209. The reversal of 4404313443201 is 1023443134044.

4404313443201 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4404313443201 - 27 = 4404313443073 is a prime.

It is a super-3 number, since 3×44043134432013 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (4404313443209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373177750 + ... + 373189551.

It is an arithmetic number, because the mean of its divisors is an integer number (420951158328).

Almost surely, 24404313443201 is an apocalyptic number.

It is an amenable number.

4404313443201 is a deficient number, since it is larger than the sum of its proper divisors (2330905090047).

4404313443201 is a wasteful number, since it uses less digits than its factorization.

4404313443201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746367592.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 4404313443201 its reverse (1023443134044), we get a palindrome (5427756577245).

The spelling of 4404313443201 in words is "four trillion, four hundred four billion, three hundred thirteen million, four hundred forty-three thousand, two hundred one".

Divisors: 1 3 7 21 281 843 1967 5901 746367301 2239101903 5224571107 15673713321 209729211581 629187634743 1468104481067 4404313443201