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14400331110 = 23251131469219
BaseRepresentation
bin11010110100101001…
…11001110101100110
31101011120202121121200
431122110321311212
5213442441043420
610340533023330
71016565536424
oct153224716546
941146677550
1014400331110
11611a67a9a0
12295a784b46
1314865380a9
149a8726114
1559435eb90
hex35a539d66

14400331110 has 96 divisors (see below), whose sum is σ = 42162232320. Its totient is φ = 3378369600.

The previous prime is 14400331093. The next prime is 14400331171. The reversal of 14400331110 is 1113300441.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 47 ways as a sum of consecutive naturals, for example, 203920 + ... + 265299.

It is an arithmetic number, because the mean of its divisors is an integer number (439189920).

Almost surely, 214400331110 is an apocalyptic number.

14400331110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14400331110 is an abundant number, since it is smaller than the sum of its proper divisors (27761901210).

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

14400331110 is a wasteful number, since it uses less digits than its factorization.

14400331110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469274 (or 469271 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 14400331110 its reverse (1113300441), we get a palindrome (15513631551).

It can be divided in two parts, 14400331 and 110, that added together give a palindrome (14400441).

The spelling of 14400331110 in words is "fourteen billion, four hundred million, three hundred thirty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 31 33 45 55 62 66 90 93 99 110 155 165 186 198 279 310 330 341 465 495 558 682 930 990 1023 1395 1705 2046 2790 3069 3410 5115 6138 10230 15345 30690 469219 938438 1407657 2346095 2815314 4222971 4692190 5161409 7038285 8445942 10322818 14076570 14545789 15484227 21114855 25807045 29091578 30968454 42229710 43637367 46452681 51614090 72728945 77421135 87274734 92905362 130912101 145457890 154842270 160003679 218186835 232263405 261824202 320007358 436373670 464526810 480011037 654560505 800018395 960022074 1309121010 1440033111 1600036790 2400055185 2880066222 4800110370 7200165555 14400331110