Search a number
-
+
14142794688 = 2632112232133
BaseRepresentation
bin11010010101111100…
…11110101111000000
31100111122011102001200
431022332132233000
5212431023412223
610255213101200
71010320525401
oct151276365700
940448142050
1014142794688
115aa8269a80
1228a8487800
131445087289
149824479a8
1557b93ca43
hex34af9ebc0

14142794688 has 84 divisors (see below), whose sum is σ = 44223038808. Its totient is φ = 4285693440.

The previous prime is 14142794681. The next prime is 14142794747. The reversal of 14142794688 is 88649724141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14142794681) 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 11 ways as a sum of consecutive naturals, for example, 1109731 + ... + 1122402.

Almost surely, 214142794688 is an apocalyptic number.

14142794688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14142794688 is an abundant number, since it is smaller than the sum of its proper divisors (30080244120).

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

14142794688 is a wasteful number, since it uses less digits than its factorization.

14142794688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232162 (or 2232149 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 14142794688 in words is "fourteen billion, one hundred forty-two million, seven hundred ninety-four thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 2232133 4464266 6696399 8928532 13392798 17857064 20089197 24553463 26785596 35714128 40178394 49106926 53571192 71428256 73660389 80356788 98213852 107142384 142856512 147320778 160713576 196427704 214284768 220981167 294641556 321427152 392855408 428569536 441962334 589283112 642854304 785710816 883924668 1178566224 1285708608 1571421632 1767849336 2357132448 3535698672 4714264896 7071397344 14142794688