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14113141442010 = 23251312062514053
BaseRepresentation
bin1100110101011111100011…
…0010000100010111011010
31211222012111002111201102200
43031113320302010113122
53322212203202121020
650003253200511030
72654432541631062
oct315277062042732
954865432451380
1014113141442010
114551393462666
1216bb27a61b476
137b4b2c228b80
1436b1189563a2
151971adbc8590
hexcd5f8c845da

14113141442010 has 48 divisors (see below), whose sum is σ = 39516796040904. Its totient is φ = 3474004046976.

The previous prime is 14113141442009. The next prime is 14113141442021. The reversal of 14113141442010 is 1024414131141.

14113141442010 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 314 + 144 + 201 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7983342881361 + 6129798560649 = 2825481^2 + 2475843^2 .

It is a super-2 number, since 2×141131414420102 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 6031255857 + ... + 6031258196.

Almost surely, 214113141442010 is an apocalyptic number.

14113141442010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14113141442010 is an abundant number, since it is smaller than the sum of its proper divisors (25403654598894).

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

14113141442010 is a wasteful number, since it uses less digits than its factorization.

14113141442010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12062514079 (or 12062514076 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 14113141442010 its reverse (1024414131141), we get a palindrome (15137555573151).

The spelling of 14113141442010 in words is "fourteen trillion, one hundred thirteen billion, one hundred forty-one million, four hundred forty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 12062514053 24125028106 36187542159 60312570265 72375084318 108562626477 120625140530 156812682689 180937710795 217125252954 313625365378 361875421590 470438048067 542813132385 784063413445 940876096134 1085626264770 1411314144201 1568126826890 2352190240335 2822628288402 4704380480670 7056570721005 14113141442010