Search a number
-
+
4004403123040 = 25525027519519
BaseRepresentation
bin111010010001011001000…
…001101001001101100000
3112011211001201221112020021
4322101121001221031200
51011102004144414130
612303333012123224
7562210561636405
oct72213101511540
915154051845207
104004403123040
111304292194131
125480b6606514
132307c90b3098
14dbb5802c2ac
156e26c80e37a
hex3a459069360

4004403123040 has 24 divisors (see below), whose sum is σ = 9460402378560. Its totient is φ = 1601761249152.

The previous prime is 4004403122987. The next prime is 4004403123043. The reversal of 4004403123040 is 403213044004.

It is a junction number, because it is equal to n+sod(n) for n = 4004403122996 and 4004403123014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004403123043) 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 3 ways as a sum of consecutive naturals, for example, 12513759600 + ... + 12513759919.

It is an arithmetic number, because the mean of its divisors is an integer number (394183432440).

Almost surely, 24004403123040 is an apocalyptic number.

4004403123040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004403123040 is an abundant number, since it is smaller than the sum of its proper divisors (5455999255520).

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

4004403123040 is a wasteful number, since it uses less digits than its factorization.

4004403123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25027519534 (or 25027519526 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 4004403123040 its reverse (403213044004), we get a palindrome (4407616167044).

The spelling of 4004403123040 in words is "four trillion, four billion, four hundred three million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 25027519519 50055039038 100110078076 125137597595 200220156152 250275195190 400440312304 500550390380 800880624608 1001100780760 2002201561520 4004403123040