Search a number
-
+
14243021434440 = 2332553977695769
BaseRepresentation
bin1100111101000011011000…
…1110111010111001001000
31212102121201122121221121200
43033100312032322321020
53331324201441400230
650143053111504200
73000011230433121
oct317206616727110
955377648557550
1014243021434440
1145a1482315287
121720487088060
137c415a2a31b6
1437351a103048
1519a761234160
hexcf4363bae48

14243021434440 has 192 divisors, whose sum is σ = 47649437362800. Its totient is φ = 3688058290176.

The previous prime is 14243021434427. The next prime is 14243021434441. The reversal of 14243021434440 is 4443412034241.

14243021434440 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 302 + 1 + 4 + 344 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9616039748676 + 4626981685764 = 3100974^2 + 2151042^2 .

It is a super-2 number, since 2×142430214344402 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14243021434395 and 14243021434404.

It is not an unprimeable number, because it can be changed into a prime (14243021434441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1997125 + ... + 5698644.

Almost surely, 214243021434440 is an apocalyptic number.

14243021434440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14243021434440 is an abundant number, since it is smaller than the sum of its proper divisors (33406415928360).

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

14243021434440 is a wasteful number, since it uses less digits than its factorization.

14243021434440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7695936 (or 7695929 counting only the distinct ones).

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

Adding to 14243021434440 its reverse (4443412034241), we get a palindrome (18686433468681).

The spelling of 14243021434440 in words is "fourteen trillion, two hundred forty-three billion, twenty-one million, four hundred thirty-four thousand, four hundred forty".