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2144150568 = 233371783417
BaseRepresentation
bin111111111001101…
…0010010000101000
312112102121010122000
41333303102100220
513342400304233
6552432331000
7104063656560
oct17763222050
95472533560
102144150568
11a0035406a
124ba0a3a60
132822a8961
14164a9dda0
15c8388d13
hex7fcd2428

2144150568 has 128 divisors (see below), whose sum is σ = 7207315200. Its totient is φ = 576571392.

The previous prime is 2144150543. The next prime is 2144150573. The reversal of 2144150568 is 8650514412.

It is a happy number.

2144150568 is a `hidden beast` number, since 2 + 1 + 4 + 41 + 50 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16005 + ... + 67412.

It is an arithmetic number, because the mean of its divisors is an integer number (56307150).

Almost surely, 22144150568 is an apocalyptic number.

2144150568 is a gapful number since it is divisible by the number (28) 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 2144150568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3603657600).

2144150568 is an abundant number, since it is smaller than the sum of its proper divisors (5063164632).

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

2144150568 is a wasteful number, since it uses less digits than its factorization.

2144150568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83456 (or 83446 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 2144150568 is about 46304.9734693802. The cubic root of 2144150568 is about 1289.4913300058.

The spelling of 2144150568 in words is "two billion, one hundred forty-four million, one hundred fifty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4284 6426 8568 12852 25704 83417 166834 250251 333668 500502 583919 667336 750753 1001004 1167838 1418089 1501506 1751757 2002008 2252259 2335676 2836178 3003012 3503514 4254267 4504518 4671352 5255271 5672356 6006024 7007028 8508534 9009036 9926623 10510542 11344712 12762801 14014056 15765813 17017068 18018072 19853246 21021084 25525602 29779869 31531626 34034136 38288403 39706492 42042168 51051204 59559738 63063252 76576806 79412984 89339607 102102408 119119476 126126504 153153612 178679214 238238952 268018821 306307224 357358428 536037642 714716856 1072075284 2144150568