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144224344314 = 23367710393797
BaseRepresentation
bin1000011001010001110…
…0001101100011111010
3111210021020112210202000
42012110130031203322
54330332413004224
6150131124121430
713264004461641
oct2062434154372
9453236483660
10144224344314
115618a978596
1223b50536276
13107a5b1260b
146da26a0358
153b41a0e0c9
hex219470d8fa

144224344314 has 64 divisors (see below), whose sum is σ = 321365491200. Its totient is φ = 47944937664.

The previous prime is 144224344307. The next prime is 144224344321. The reversal of 144224344314 is 413443422441.

144224344314 is a `hidden beast` number, since 144 + 22 + 43 + 443 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (144224344307) and next prime (144224344321).

It is a super-2 number, since 2×1442243443142 (a number of 23 digits) contains 22 as substring.

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, 37981864 + ... + 37985660.

It is an arithmetic number, because the mean of its divisors is an integer number (5021335800).

Almost surely, 2144224344314 is an apocalyptic number.

144224344314 is an abundant number, since it is smaller than the sum of its proper divisors (177141146886).

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

144224344314 is a wasteful number, since it uses less digits than its factorization.

144224344314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5524 (or 5518 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

Adding to 144224344314 its reverse (413443422441), we get a palindrome (557667766755).

The spelling of 144224344314 in words is "one hundred forty-four billion, two hundred twenty-four million, three hundred forty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 677 1039 1354 2031 2078 3117 3797 4062 6093 6234 7594 9351 11391 12186 18279 18702 22782 28053 34173 36558 56106 68346 102519 205038 703403 1406806 2110209 2570569 3945083 4220418 5141138 6330627 7711707 7890166 11835249 12661254 15423414 18991881 23135121 23670498 35505747 37983762 46270242 69405363 71011494 106517241 138810726 213034482 2670821191 5341642382 8012463573 16024927146 24037390719 48074781438 72112172157 144224344314