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14010011040 = 2535318631091
BaseRepresentation
bin11010000110000111…
…11100110110100000
31100011101022022010210
431003003330312200
5212143030323130
610234111054120
71004116062144
oct150303746640
940141268123
1014010011040
115a3a316723
12286bb11340
13142370577c
1496c961224
1556ee5e5b0
hex3430fcda0

14010011040 has 192 divisors, whose sum is σ = 45649723392. Its totient is φ = 3607987200.

The previous prime is 14010011017. The next prime is 14010011053. The reversal of 14010011040 is 4011001041.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12840895 + ... + 12841985.

It is an arithmetic number, because the mean of its divisors is an integer number (237758976).

Almost surely, 214010011040 is an apocalyptic number.

14010011040 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 14010011040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22824861696).

14010011040 is an abundant number, since it is smaller than the sum of its proper divisors (31639712352).

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

14010011040 is a wasteful number, since it uses less digits than its factorization.

14010011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 14010011040 its reverse (4011001041), we get a palindrome (18021012081).

Subtracting from 14010011040 its reverse (4011001041), we obtain a palindrome (9999009999).

It can be divided in two parts, 1401001 and 1040, that added together give a palindrome (1402041).

The spelling of 14010011040 in words is "fourteen billion, ten million, eleven thousand, forty".