Search a number
-
+
1440213104 = 241143474049
BaseRepresentation
bin101010111010111…
…1110100001110000
310201101000101222002
41111311332201300
510422143304404
6354524433132
750455416011
oct12565764160
93641011862
101440213104
11679a65470
123423a87a8
1319c4bb305
14d93bd008
1586689c1e
hex55d7e870

1440213104 has 80 divisors (see below), whose sum is σ = 3181939200. Its totient is φ = 625658880.

The previous prime is 1440213101. The next prime is 1440213113. The reversal of 1440213104 is 4013120441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1440213101) 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, 353672 + ... + 357720.

It is an arithmetic number, because the mean of its divisors is an integer number (39774240).

Almost surely, 21440213104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1440213104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590969600).

1440213104 is an abundant number, since it is smaller than the sum of its proper divisors (1741726096).

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

1440213104 is a wasteful number, since it uses less digits than its factorization.

1440213104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4158 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1440213104 is about 37950.1397098878. The cubic root of 1440213104 is about 1129.2989370601.

Adding to 1440213104 its reverse (4013120441), we get a palindrome (5453333545).

The spelling of 1440213104 in words is "one billion, four hundred forty million, two hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 43 44 47 86 88 94 172 176 188 344 376 473 517 688 752 946 1034 1892 2021 2068 3784 4042 4049 4136 7568 8084 8098 8272 16168 16196 22231 32336 32392 44462 44539 64784 88924 89078 174107 177848 178156 190303 348214 355696 356312 380606 696428 712624 761212 1392856 1522424 1915177 2093333 2785712 3044848 3830354 4186666 7660708 8183029 8373332 15321416 16366058 16746664 30642832 32732116 33493328 65464232 90013319 130928464 180026638 360053276 720106552 1440213104