Search a number
-
+
14402144112 = 2434318113853
BaseRepresentation
bin11010110100110111…
…10100011101110000
31101011201011201120220
431122123310131300
5213443422102422
610341035533040
71016620130226
oct153233643560
941151151526
1014402144112
1161206a9044
12295b2ba180
131486a21385
149a8a78b16
155945bbe5c
hex35a6f4770

14402144112 has 80 divisors (see below), whose sum is σ = 38101692288. Its totient is φ = 4685264640.

The previous prime is 14402144101. The next prime is 14402144131. The reversal of 14402144112 is 21144120441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3735978 + ... + 3739830.

Almost surely, 214402144112 is an apocalyptic number.

14402144112 is a gapful number since it is divisible by the number (12) 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 14402144112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19050846144).

14402144112 is an abundant number, since it is smaller than the sum of its proper divisors (23699548176).

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

14402144112 is a wasteful number, since it uses less digits than its factorization.

14402144112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5718 (or 5712 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 14402144112 its reverse (21144120441), we get a palindrome (35546264553).

The spelling of 14402144112 in words is "fourteen billion, four hundred two million, one hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 1811 2064 3622 3853 5433 7244 7706 10866 11559 14488 15412 21732 23118 28976 30824 43464 46236 61648 77873 86928 92472 155746 165679 184944 233619 311492 331358 467238 497037 622984 662716 934476 994074 1245968 1325432 1868952 1988148 2650864 3737904 3976296 6977783 7952592 13955566 20933349 27911132 41866698 55822264 83733396 111644528 167466792 300044669 334933584 600089338 900134007 1200178676 1800268014 2400357352 3600536028 4800714704 7201072056 14402144112