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14130022113240 = 23351183211313751
BaseRepresentation
bin1100110110011110011011…
…1100101101111111011000
31212000211001112110200001020
43031213212330231333120
53323001241130110430
650015124220122440
72655601056155025
oct315474674557730
955024045420036
1014130022113240
114558566128820
1217025ab996420
137b65bc59ba27
1436bc7a85254c
1519784ab7db10
hexcd9e6f2dfd8

14130022113240 has 384 divisors, whose sum is σ = 47225234926080. Its totient is φ = 3353996800000.

The previous prime is 14130022113217. The next prime is 14130022113241. The reversal of 14130022113240 is 4231122003141.

It is a super-3 number, since 3×141300221132403 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14130022113240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14130022113241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1027556365 + ... + 1027570115.

It is an arithmetic number, because the mean of its divisors is an integer number (122982382620).

Almost surely, 214130022113240 is an apocalyptic number.

14130022113240 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 14130022113240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23612617463040).

14130022113240 is an abundant number, since it is smaller than the sum of its proper divisors (33095212812840).

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

14130022113240 is a wasteful number, since it uses less digits than its factorization.

14130022113240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14055 (or 13968 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 14130022113240 its reverse (4231122003141), we get a palindrome (18361144116381).

The spelling of 14130022113240 in words is "fourteen trillion, one hundred thirty billion, twenty-two million, one hundred thirteen thousand, two hundred forty".