Search a number
-
+
2014115440 = 24547535669
BaseRepresentation
bin111100000001100…
…1111011001110000
312012100220122222011
41320003033121300
513111103143230
6531505252304
7100624461451
oct17003173160
95170818864
102014115440
11943a08817
12482634094
1326137a1ac
141516d1128
15bbc4ee2a
hex780cf670

2014115440 has 40 divisors (see below), whose sum is σ = 4782461760. Its totient is φ = 788503296.

The previous prime is 2014115429. The next prime is 2014115449. The reversal of 2014115440 is 445114102.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×20141154402 = 8113322011292787200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014115449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264075 + ... + 271594.

It is an arithmetic number, because the mean of its divisors is an integer number (119561544).

Almost surely, 22014115440 is an apocalyptic number.

2014115440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2014115440 is an abundant number, since it is smaller than the sum of its proper divisors (2768346320).

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

2014115440 is a wasteful number, since it uses less digits than its factorization.

2014115440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535729 (or 535723 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 2014115440 is about 44878.8974909144. The cubic root of 2014115440 is about 1262.8781606118.

Adding to 2014115440 its reverse (445114102), we get a palindrome (2459229542).

The spelling of 2014115440 in words is "two billion, fourteen million, one hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1880 3760 535669 1071338 2142676 2678345 4285352 5356690 8570704 10713380 21426760 25176443 42853520 50352886 100705772 125882215 201411544 251764430 402823088 503528860 1007057720 2014115440