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14440400230302 = 23223181263732731
BaseRepresentation
bin1101001000100010101011…
…1011010001011110011110
31220010111012022122200000100
43102020222323101132132
53343042414424332202
650413454524241530
73020166402503424
oct322105273213636
956114168580010
1014440400230302
114668159518a72
1217527909a02a6
13809954536bb7
1437ccc2023114
151a09644da41c
hexd222aed179e

14440400230302 has 96 divisors (see below), whose sum is σ = 32953103479296. Its totient is φ = 4561332177600.

The previous prime is 14440400230301. The next prime is 14440400230313. The reversal of 14440400230302 is 20303200404441.

It is a happy number.

It is a super-2 number, since 2×144404002303022 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14440400230301) 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, 19341277 + ... + 20074007.

It is an arithmetic number, because the mean of its divisors is an integer number (343261494576).

Almost surely, 214440400230302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14440400230302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16476551739648).

14440400230302 is an abundant number, since it is smaller than the sum of its proper divisors (18512703248994).

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

14440400230302 is a wasteful number, since it uses less digits than its factorization.

14440400230302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733206 (or 733203 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 14440400230302 its reverse (20303200404441), we get a palindrome (34743600634743).

The spelling of 14440400230302 in words is "fourteen trillion, four hundred forty billion, four hundred million, two hundred thirty thousand, three hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 138 181 207 263 362 414 526 543 789 1086 1578 1629 2367 3258 4163 4734 6049 8326 12098 12489 18147 24978 36294 37467 47603 54441 74934 95206 108882 142809 285618 428427 732731 856854 1094869 1465462 2189738 2198193 3284607 4396386 6569214 6594579 9853821 13189158 16852813 19707642 33705626 50558439 101116878 132624311 151675317 192708253 265248622 303350634 385416506 397872933 578124759 795745866 1156249518 1193618799 1734374277 2387237598 3050359153 3468748554 4432289819 6100718306 8864579638 9151077459 13296869457 18302154918 26593738914 27453232377 34880193793 39890608371 54906464754 69760387586 79781216742 104640581379 209281162758 313921744137 627843488274 802244457239 1604488914478 2406733371717 4813466743434 7220200115151 14440400230302