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14303414013200 = 24521325126940739
BaseRepresentation
bin1101000000100100010111…
…1010010100110100010000
31212122101121111220211011222
43100021011322110310100
53333321342441410300
650230521522224212
73004246635043244
oct320110572246420
955571544824158
1014303414013200
1146150533595a4
1217301204b5068
137c9a63173ac0
14376408b88424
1519c0e8181785
hexd0245e94d10

14303414013200 has 240 divisors, whose sum is σ = 37293809918400. Its totient is φ = 5240536320000.

The previous prime is 14303414013191. The next prime is 14303414013337. The reversal of 14303414013200 is 231041430341.

It is a happy number.

It is a super-2 number, since 2×143034140132002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 14303414013200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351078431 + ... + 351119169.

It is an arithmetic number, because the mean of its divisors is an integer number (155390874660).

Almost surely, 214303414013200 is an apocalyptic number.

14303414013200 is a gapful number since it is divisible by the number (10) 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 14303414013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18646904959200).

14303414013200 is an abundant number, since it is smaller than the sum of its proper divisors (22990395905200).

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

14303414013200 is a wasteful number, since it uses less digits than its factorization.

14303414013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41290 (or 41279 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 14303414013200 its reverse (231041430341), we get a palindrome (14534455443541).

The spelling of 14303414013200 in words is "fourteen trillion, three hundred three billion, four hundred fourteen million, thirteen thousand, two hundred".