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12014042205354 = 2372919794984207
BaseRepresentation
bin1010111011010011110010…
…1101111100110010101010
31120112112100020222001020020
42232310330231330302222
53033314224301032404
641315101431141310
72346662110542510
oct256647455746252
946475306861206
1012014042205354
11391214368a5a2
12142049a514836
13691bc4988037
142d76a89204b0
1515c7a5added9
hexaed3cb7ccaa

12014042205354 has 64 divisors (see below), whose sum is σ = 28421947699200. Its totient is φ = 3312543181248.

The previous prime is 12014042205299. The next prime is 12014042205359. The reversal of 12014042205354 is 45350224041021.

It is a super-2 number, since 2×120140422053542 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12014042205359) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81682 + ... + 4902525.

It is an arithmetic number, because the mean of its divisors is an integer number (444092932800).

Almost surely, 212014042205354 is an apocalyptic number.

12014042205354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12014042205354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14210973849600).

12014042205354 is an abundant number, since it is smaller than the sum of its proper divisors (16407905493846).

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

12014042205354 is a wasteful number, since it uses less digits than its factorization.

12014042205354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4986227.

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 12014042205354 its reverse (45350224041021), we get a palindrome (57364266246375).

The spelling of 12014042205354 in words is "twelve trillion, fourteen billion, forty-two million, two hundred five thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 1218 1979 3958 5937 11874 13853 27706 41559 57391 83118 114782 172173 344346 401737 803474 1205211 2410422 4984207 9968414 14952621 29905242 34889449 69778898 104668347 144542003 209336694 289084006 433626009 867252018 1011794021 2023588042 3035382063 6070764126 9863745653 19727491306 29591236959 59182473918 69046219571 138092439142 207138658713 286048623937 414277317426 572097247874 858145871811 1716291743622 2002340367559 4004680735118 6007021102677 12014042205354