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14054413240 = 2357219834547
BaseRepresentation
bin11010001011011010…
…10101001110111000
31100021110212011111201
431011231111032320
5212240412210430
610242334503544
71005165353500
oct150555251670
940243764451
1014054413240
115a6239375a
122882964bb4
13142c980c6a
149747dca00
15573cd08ca
hex345b553b8

14054413240 has 192 divisors, whose sum is σ = 39196483200. Its totient is φ = 4509050112.

The previous prime is 14054413223. The next prime is 14054413249. The reversal of 14054413240 is 4231445041.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 14054413199 and 14054413208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14054413249) 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, 3088647 + ... + 3093193.

It is an arithmetic number, because the mean of its divisors is an integer number (204148350).

Almost surely, 214054413240 is an apocalyptic number.

14054413240 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 14054413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19598241600).

14054413240 is an abundant number, since it is smaller than the sum of its proper divisors (25142069960).

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

14054413240 is a wasteful number, since it uses less digits than its factorization.

14054413240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4674 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 14054413240 its reverse (4231445041), we get a palindrome (18285858281).

It can be divided in two parts, 1405441 and 3240, that added together give a triangular number (1408681 = T1678).

The spelling of 14054413240 in words is "fourteen billion, fifty-four million, four hundred thirteen thousand, two hundred forty".