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14040201220024 = 23722910712790887
BaseRepresentation
bin1100110001001111110100…
…1101001100111110111000
31211201020012202121112020111
43030103331031030332320
53320013313003020044
645505551314434104
72646241163156500
oct314237515147670
954636182545214
1014040201220024
11452346361a271
1216a9102b92934
137aaca68c9bc5
14367799658a00
151953403d0b34
hexcc4fd34cfb8

14040201220024 has 192 divisors, whose sum is σ = 32227576012800. Its totient is φ = 5710060548864.

The previous prime is 14040201220009. The next prime is 14040201220027. The reversal of 14040201220024 is 42002210204041.

It is a junction number, because it is equal to n+sod(n) for n = 14040201219977 and 14040201220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14040201220027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154434309 + ... + 154525195.

It is an arithmetic number, because the mean of its divisors is an integer number (167851958400).

Almost surely, 214040201220024 is an apocalyptic number.

14040201220024 is a gapful number since it is divisible by the number (14) 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 14040201220024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16113788006400).

14040201220024 is an abundant number, since it is smaller than the sum of its proper divisors (18187374792776).

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

14040201220024 is a wasteful number, since it uses less digits than its factorization.

14040201220024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91170 (or 91159 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 14040201220024 its reverse (42002210204041), we get a palindrome (56042411424065).

The spelling of 14040201220024 in words is "fourteen trillion, forty billion, two hundred one million, two hundred twenty thousand, twenty-four".