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2144111320 = 2351315726263
BaseRepresentation
bin111111111001100…
…1000101011011000
312112102112010210101
41333303020223120
513342343030240
6552431425144
7104063434261
oct17763105330
95472463711
102144111320
11a0032762a
124ba0851b4
13282293b30
14164a8d968
15c837c39a
hex7fcc8ad8

2144111320 has 64 divisors (see below), whose sum is σ = 5228637120. Its totient is φ = 786599424.

The previous prime is 2144111309. The next prime is 2144111323. The reversal of 2144111320 is 231114412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144111323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68509 + ... + 94771.

It is an arithmetic number, because the mean of its divisors is an integer number (81697455).

Almost surely, 22144111320 is an apocalyptic number.

2144111320 is a gapful number since it is divisible by the number (20) 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 2144111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614318560).

2144111320 is an abundant number, since it is smaller than the sum of its proper divisors (3084525800).

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

2144111320 is a wasteful number, since it uses less digits than its factorization.

2144111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26444 (or 26440 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2144111320 is about 46304.5496684721. The cubic root of 2144111320 is about 1289.4834620470.

Adding to 2144111320 its reverse (231114412), we get a palindrome (2375225732).

It can be divided in two parts, 21441 and 11320, that added together give a square (32761 = 1812).

The spelling of 2144111320 in words is "two billion, one hundred forty-four million, one hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 157 260 314 520 628 785 1256 1570 2041 3140 4082 6280 8164 10205 16328 20410 26263 40820 52526 81640 105052 131315 210104 262630 341419 525260 682838 1050520 1365676 1707095 2731352 3414190 4123291 6828380 8246582 13656760 16493164 20616455 32986328 41232910 53602783 82465820 107205566 164931640 214411132 268013915 428822264 536027830 1072055660 2144111320