Search a number
-
+
3444243342540 = 223573111311310357
BaseRepresentation
bin110010000111101100111…
…001101010010011001100
3110012021012020111022121020
4302013230321222103030
5422412302243430130
611154132532034140
7503560363236000
oct62075471522314
913167166438536
103444243342540
111108771637180
12477626162950
131bca38393570
14bc9b9042700
155e8d5415e10
hex321ece6a4cc

3444243342540 has 768 divisors, whose sum is σ = 13330895155200. Its totient is φ = 654724546560.

The previous prime is 3444243342497. The next prime is 3444243342601. The reversal of 3444243342540 is 452433424443.

3444243342540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×34442433425402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3444243342492 and 3444243342501.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 332547042 + ... + 332557398.

It is an arithmetic number, because the mean of its divisors is an integer number (17357936400).

Almost surely, 23444243342540 is an apocalyptic number.

3444243342540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444243342540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6665447577600).

3444243342540 is an abundant number, since it is smaller than the sum of its proper divisors (9886651812660).

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

3444243342540 is a wasteful number, since it uses less digits than its factorization.

3444243342540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10527 (or 10511 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 42.

Adding to 3444243342540 its reverse (452433424443), we get a palindrome (3896676766983).

The spelling of 3444243342540 in words is "three trillion, four hundred forty-four billion, two hundred forty-three million, three hundred forty-two thousand, five hundred forty".