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14430200203441 = 1121011180770821
BaseRepresentation
bin1101000111111100101011…
…1101010000100010110001
31220002111212110111121121201
43101333022331100202301
53342411022223002231
650405050434251201
73016355545632661
oct321771275204261
956074773447551
1014430200203441
1146638a4902900
121750804a26b01
138089ba283149
1437c5d54b21a1
151a0568cba161
hexd1fcaf508b1

14430200203441 has 12 divisors (see below), whose sum is σ = 16018336971252. Its totient is φ = 12988479020000.

The previous prime is 14430200203387. The next prime is 14430200203457.

14430200203441 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 13974109334416 + 456090869025 = 3738196^2 + 675345^2 .

It is not a de Polignac number, because 14430200203441 - 217 = 14430200072369 is a prime.

It is a super-2 number, since 2×144302002034412 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14430200200441) 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 11 ways as a sum of consecutive naturals, for example, 590373190 + ... + 590397631.

It is an arithmetic number, because the mean of its divisors is an integer number (1334861414271).

Almost surely, 214430200203441 is an apocalyptic number.

14430200203441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14430200203441 is a deficient number, since it is larger than the sum of its proper divisors (1588136767811).

14430200203441 is a wasteful number, since it uses less digits than its factorization.

14430200203441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180770944 (or 1180770933 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 14430200 and 203441, that added together give a palindrome (14633641).

The spelling of 14430200203441 in words is "fourteen trillion, four hundred thirty billion, two hundred million, two hundred three thousand, four hundred forty-one".

Divisors: 1 11 101 121 1111 12221 1180770821 12988479031 119257852921 142873269341 1311836382131 14430200203441