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2144111000 = 23534614651
BaseRepresentation
bin111111111001100…
…1000100110011000
312112102112010100112
41333303020212120
513342343023000
6552431423452
7104063433323
oct17763104630
95472463315
102144111000
11a00327369
124ba084b88
13282293945
14164a8d7ba
15c837c235
hex7fcc8998

2144111000 has 64 divisors (see below), whose sum is σ = 5029184160. Its totient is φ = 855600000.

The previous prime is 2144110981. The next prime is 2144111017. The reversal of 2144111000 is 1114412.

It is a congruent number.

It is an unprimeable number.

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, 458675 + ... + 463325.

Almost surely, 22144111000 is an apocalyptic number.

2144111000 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 2144111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514592080).

2144111000 is an abundant number, since it is smaller than the sum of its proper divisors (2885073160).

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

2144111000 is a wasteful number, since it uses less digits than its factorization.

2144111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133 (or 5119 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2144111000 is about 46304.5462130880. The cubic root of 2144111000 is about 1289.4833978970.

Adding to 2144111000 its reverse (1114412), we get a palindrome (2145225412).

The spelling of 2144111000 in words is "two billion, one hundred forty-four million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 461 500 922 1000 1844 2305 3688 4610 4651 9220 9302 11525 18440 18604 23050 23255 37208 46100 46510 57625 92200 93020 115250 116275 186040 230500 232550 461000 465100 581375 930200 1162750 2144111 2325500 4288222 4651000 8576444 10720555 17152888 21441110 42882220 53602775 85764440 107205550 214411100 268013875 428822200 536027750 1072055500 2144111000