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440213013 = 32371321961
BaseRepresentation
bin11010001111010…
…001111000010101
31010200100010201200
4122033101320111
51400143304023
6111403143113
713623514602
oct3217217025
91120303650
10440213013
11206541609
12103514a99
1370281096
14426716a9
15289a8743
hex1a3d1e15

440213013 has 12 divisors (see below), whose sum is σ = 653049228. Its totient is φ = 285543360.

The previous prime is 440212999. The next prime is 440213029. The reversal of 440213013 is 310312044.

440213013 is a `hidden beast` number, since 440 + 213 + 0 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 409941009 + 30272004 = 20247^2 + 5502^2 .

It is not a de Polignac number, because 440213013 - 28 = 440212757 is a prime.

It is a super-3 number, since 3×4402130133 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440213513) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 660648 + ... + 661313.

It is an arithmetic number, because the mean of its divisors is an integer number (54420769).

Almost surely, 2440213013 is an apocalyptic number.

It is an amenable number.

440213013 is a deficient number, since it is larger than the sum of its proper divisors (212836215).

440213013 is a wasteful number, since it uses less digits than its factorization.

440213013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322004 (or 1322001 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 440213013 is about 20981.2538471846. The cubic root of 440213013 is about 760.7132114890.

Adding to 440213013 its reverse (310312044), we get a palindrome (750525057).

The spelling of 440213013 in words is "four hundred forty million, two hundred thirteen thousand, thirteen".

Divisors: 1 3 9 37 111 333 1321961 3965883 11897649 48912557 146737671 440213013