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14234144112011 = 237316374370001
BaseRepresentation
bin1100111100100010010100…
…0110100111110110001011
31212101202210222101020121002
43033020211012213312023
53331203011343041021
650135024152005215
72666245234434455
oct317104506476613
955352728336532
1014234144112011
1145987372a457a
12171a80a09080b
137c33740767a5
14372d171032d5
1519a3e1bdb50b
hexcf2251a7d8b

14234144112011 has 32 divisors (see below), whose sum is σ = 15169462520832. Its totient is φ = 13328219520000.

The previous prime is 14234144111987. The next prime is 14234144112017. The reversal of 14234144112011 is 11021144143241.

It is a cyclic number.

It is not a de Polignac number, because 14234144112011 - 226 = 14234077003147 is a prime.

It is a super-2 number, since 2×142341441120112 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (14234144112017) 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 31 ways as a sum of consecutive naturals, for example, 203307011 + ... + 203377011.

It is an arithmetic number, because the mean of its divisors is an integer number (474045703776).

Almost surely, 214234144112011 is an apocalyptic number.

14234144112011 is a deficient number, since it is larger than the sum of its proper divisors (935318408821).

14234144112011 is a wasteful number, since it uses less digits than its factorization.

14234144112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71003.

The product of its (nonzero) digits is 3072, while the sum is 29.

Adding to 14234144112011 its reverse (11021144143241), we get a palindrome (25255288255252).

The spelling of 14234144112011 in words is "fourteen trillion, two hundred thirty-four billion, one hundred forty-four million, one hundred twelve thousand, eleven".

Divisors: 1 23 73 163 743 1679 3749 11899 17089 54239 70001 121109 273677 1247497 1610023 2785507 5110073 8840957 11410163 52010743 117531679 203342011 262433749 832941899 1196247089 3796784239 8477751109 19157663677 87326037497 194988275507 618875830957 14234144112011