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14220041400 = 2333528331727
BaseRepresentation
bin11010011111001010…
…01001110010111000
31100201000111221122000
431033211021302320
5213110312311100
610311012501000
71012246233435
oct151745116270
940630457560
1014220041400
11603792a634
12290a31a760
1314580923a6
1498c7d4b8c
155835ea900
hex34f949cb8

14220041400 has 192 divisors, whose sum is σ = 49571827200. Its totient is φ = 3746206080.

The previous prime is 14220041399. The next prime is 14220041401. The reversal of 14220041400 is 414002241.

14220041400 is a `hidden beast` number, since 1 + 4 + 220 + 0 + 41 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (14220041399) and next prime (14220041401).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14220041401) 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, 432337 + ... + 464063.

It is an arithmetic number, because the mean of its divisors is an integer number (258186600).

Almost surely, 214220041400 is an apocalyptic number.

14220041400 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 14220041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24785913600).

14220041400 is an abundant number, since it is smaller than the sum of its proper divisors (35351785800).

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

14220041400 is a wasteful number, since it uses less digits than its factorization.

14220041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31835 (or 31820 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 14220041400 its reverse (414002241), we get a palindrome (14634043641).

It can be divided in two parts, 14220041 and 400, that added together give a square (14220441 = 37712).

The spelling of 14220041400 in words is "fourteen billion, two hundred twenty million, forty-one thousand, four hundred".