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2144105440 = 255127105517
BaseRepresentation
bin111111111001100…
…0111001111100000
312112102111211201121
41333303013033200
513342342333230
6552431342024
7104063411161
oct17763071740
95472454647
102144105440
11a00323174
124ba081914
13282291259
14164a8b768
15c837a77a
hex7fcc73e0

2144105440 has 48 divisors (see below), whose sum is σ = 5105382912. Its totient is φ = 850881024.

The previous prime is 2144105437. The next prime is 2144105449. The reversal of 2144105440 is 445014412.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144105449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32439 + ... + 73078.

It is an arithmetic number, because the mean of its divisors is an integer number (106362144).

Almost surely, 22144105440 is an apocalyptic number.

2144105440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144105440 is an abundant number, since it is smaller than the sum of its proper divisors (2961277472).

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

2144105440 is a wasteful number, since it uses less digits than its factorization.

2144105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105659 (or 105651 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2144105440 is about 46304.4861757476. The cubic root of 2144105440 is about 1289.4822832883.

Adding to 2144105440 its reverse (445014412), we get a palindrome (2589119852).

It can be divided in two parts, 2144 and 105440, that added together give a square (107584 = 3282).

The spelling of 2144105440 in words is "two billion, one hundred forty-four million, one hundred five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 160 254 508 635 1016 1270 2032 2540 4064 5080 10160 20320 105517 211034 422068 527585 844136 1055170 1688272 2110340 3376544 4220680 8441360 13400659 16882720 26801318 53602636 67003295 107205272 134006590 214410544 268013180 428821088 536026360 1072052720 2144105440